Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...

In this paper we describe a method for computing the Discrete Fourier Transform (DFT) of a sequence of $n$ elements over a finite field $\mathrm{GF}(p^m)$ with a ...

This is a preview. Log in through your library . Abstract We study the accuracy of the output of the Fast Fourier Transform by estimating the expected value and the variance of the accompanying linear ...

The FFT (Fast Fourier Transform) is rightfully regarded as the most important numerical algorithm of our lifetime. Whether it's used to monitor signals coming from the depths of the earth or search ...

Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of mathematics and physics. The calculation, called the Fourier transform, ...