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, ...

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 ...

Abstract: This paper deals with discrete Fourier transform (DFT)-based modulation and demodulation techniques for affine frequency division multiplexing (AFDM), as opposed to using the discrete affine ...

Abstract: This study aims to explore the application of frequency sweep signal analysis based on discrete Fourier transform in complex environments, in order to improve the accuracy and reliability of ...

Introduce an enhanced U-Net architecture integrated with Convolutional Fourier Transform (CF) modules that fuse time-domain convolution and frequency-domain analysis via FFT and iFFT, enabling precise ...

What is a curvelet transform? A curvelet is a mathematical building‑block, much like a wavelet but stretched, and directional, so it has an "orientation" that better represents images/signals which ...