However, on closer examination, there are features of both algorithms that suggest at least a conceptual similarity. This note is written in a heuristic spirit and is intended to offer a motivation ...

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

The Algorithm The FFT can be factored in a variety of different ways; each way results in a different algorithm. The most common factorization is the Cooley-Tukey algorithm, which recursively factors ...

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 ...

We develop efficient fast Fourier transform algorithms for pricing and hedging discretely sampled variance products and volatility derivatives under additive processes (time-inhomogeneous Lévy ...

Sparse Fourier Transform (SFT) algorithms constitute a transformative approach to spectral analysis by leveraging the inherent sparsity of signals in the frequency domain. In contrast to the ...

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 ...

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 ...