Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of ...

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 ...

In this video from PyData Seattle 2015, William Cox from Distil Networks presents: An Intuitive Introduction to the Fourier Transform and FFT. The “fast fourier transform” (FFT) algorithm is a ...

Engineers have solved a 50-year-old puzzle in signal processing. They've formulated the 'inverse chirp z-transform,' an algorithm related to one that's running on your cell phone right now. It took ...

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 ...

This paper describes the "fractional Fourier transform," which admits computation by an algorithm that has complexity proportional to the fast Fourier transform algorithm. Whereas the discrete Fourier ...