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The Bomem DA3 is a type of Fourier transform spectrometer used for measuring various spectral data and [Usagi Electric] has one. On his quest to understand it he runs down a number of rabbit holes, ...

Abstract: Due to the dispersion and absorption of light, underwater images are frequently degraded by low contrast, color distortion, and poor visibility. This degradation creates significant ...

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, ...

Conclusions: This study underscores the potential of GPS-derived mobility data, analyzed through Fourier transform, as a non-invasive and real-time diagnostic and monitoring tool for mood disorders.

Convolution is a remarkable property of the Fourier transform, often cited in the literature as the “faltung theorem”. Convolution is a remarkable property of the Fourier transform, often cited in the ...

The primary goal of Super-Resolution (SR) is to reconstruct an image of higher quality from an image of lower quality. The Fourier transform helps in this process by recovering lost, high-frequency ...

A windowed sinc filter outperforms a moving-average filter in the frequency domain. Figure 1. The ideal filter X(f) in the frequency domain has a gain of 1 and a cutoff frequency fC. This result is in ...

A moving-average filter can address white noise in the time domain but performs poorly in the frequency domain. Figure 1. The convolution engine calculates y(tn) for n=6 (a) and then goes on to ...