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

Both algorithms achieve o (n log n) time, and thus improve over the Fast Fourier Transform, for any k = o (n). Further, they are the first known algorithms that satisfy this property.

(The fast-Fourier-transform (FFT) provides a technique for deconstructing a complex waveform into its component sine wave frequencies of different amplitude.) The new algorithm relies on two key ideas ...

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 ...

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 ...

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 reason the Fourier transform is so prevalent is an algorithm called the fast Fourier transform (FFT), devised in the mid-1960s, which made it practical to calculate Fourier transforms on the fly.

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 ...

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 ...