Fourier analysis and approximation theory form a cornerstone of modern mathematical analysis, concerned with the representation of functions by basic oscillatory components and the quantification of ...

A new simulation study compares Fourier, wavelet, and direct time-domain fitting methods for analyzing short and non-stationary NMR signals, revealing where each approach excels and how spectrograms ...

This paper introduces a unified approach for modeling and synthesizing multi-beam radiation patterns in large, strongly-coupled antenna arrays. The method combines Floquet spectral analysis with ...

Super-resolution (SR) fluorescence microscopy, through the use of fluorescent probes and specific excitation and emission procedures, surpasses the diffraction limit of resolution (200~300 nm) that ...

A new study finds that a 200-year-old technique called Fourier analysis can reveal crucial information about how the form of artificial intelligence called deep neural networks (DNN) learn to perform ...