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 ...

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 Fast Fourier Transform (FFT) remains a cornerstone of digital signal processing, underpinning applications from telecommunications to medical imaging. Modern FFT processors and architectures have ...

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 ...

This is a preview. Log in through your library . Abstract Apart from the fact that they are both ingenious and remarkably efficient, there would appear to be little kinship between fast Fourier ...

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 ...

This paper introduces new techniques for the efficient computation of a Fourier transform on a finite group. We present a divide and conquer approach to the computation. The divide aspect uses ...

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 ...