Over at Quanta Magazine [Shalma Wegsman] asks What Is the Fourier Transform? [Shalma] begins by telling you a little about Joseph Fourier, the French mathematician with an interest in heat propagation ...

Welcome to the GPU-NTT-Optimization repository! We present cutting-edge algorithms and implementations for optimizing the Number Theoretic Transform (NTT) on Graphics Processing Units (GPUs).

The inverse transform can create a time-domain waveform where no waveform has been before. In part 2 of this series, we used the discrete Fourier transform to convert a waveform from the time domain ...

The inverse Fourier transform (inverse FFT or iFFT) reverses the operation of the Fourier transform and derives a time-domain representation from a frequency-domain ...

Fourier transform is a key method for analyzing signals in both time and frequency domains. The FFT is a computational algorithm that efficiently computes the discrete Fourier transform (DFT) and its ...

Abstract: The paper is devoted to the development of methods and algorithms for fast discrete Fourier transform of discrete finite signals in real time. The paper considers the case when the duration ...

Add a description, image, and links to the discrete-time-fourier-transform topic page so that developers can more easily learn about it.

The sampling process of a signal is of an ideal type as it extends from −∞ to +∞ on the time axis, hence the infinite number of instants t n. This destroys the possibility of using an electronic ...