For a large range of practically useful cases, MIT researchers find a way to increase the speed of one of the most important algorithms in the information sciences. The Fourier transform is one of the ...

The Fourier transform is one of the most fundamental concepts in the information sciences. It’s a method for representing an irregular signal — such as the voltage fluctuations in the wire that ...

A new algorithm performs Fourier transforms using a minimal number of samples. The fast Fourier transform, one of the most important algorithms of the 20th century, revolutionized signal processing.

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 -- a ...

A group of MIT researchers believe they’ve found a way to speed up audio, video, and image compression by improving on the Fourier Transform. They say the new algorithm is up to ten times faster than ...

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 ...

A talk, The Unreasonable Effectiveness of the Fourier Transform, was presented by [Joshua Wise] at Teardown 2025 in June last ...

The Fast Fourier Transform (FFT) is an implementation of the Discrete Fourier Transform (DFT) using a divide-and-conquer approach. A DFT can transform any discrete signal, such as an image, to and ...