A new algorithm performs Fourier transforms using a minimal number of samples. The fast Fourier transform, one of the most important algorithms of the 20th century, revolutionized signal processing.
A Physics-Informed Neural Operator (PINO) implementation for solving 2D Heat Equation using Fourier analysis techniques. This project was developed as part of a Master's thesis on balancing data ...
Abstract: New algorithms for computing the discrete Fourier transform (DFT) spectra along different directions are derived and implemented. For computing the DFT spectrum along any given direction ...
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 ...
Modern scientific research produces datasets of increasing size and complexity that require dedicated numerical methods to be processed. In many cases, the analysis of spectroscopic data involves the ...
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