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 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.

In this paper, we have proved that the lower bound of the number of real multiplications for computing a length 2t real GFT(a,b) (a = ±1/2, b = 0 or b = ±1/2, a = 0) is 2t+1 – 2t - 2 and that for ...

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 ...

The Fast Fourier Transform (FFT) is a widely used algorithm that computes the Discrete Fourier Transform (DFT) using much fewer operations than a direct implementation of the DFT. FFTs are of great ...

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 ...

Researchers from MIT have developed a new algorithm designed to improve on the fast Fourier transform (FFT) in a large number of cases. The discovery paves the way for smartphones to wirelessly ...