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, ...

This work provides a comprehensive derivation of the Fourier transform, with less emphasis on the mathematical rigor associated with the theory. Instead, its primary goal is to serve as a didactic ...

Abstract: Convolution of a discrete Walsh function with a rectangular pulse simplifies the derivation of an expression for the Fourier transform of a Walsh function. The nonrecursive transform ...

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, ...

AI tools are driving efficiency and strategic gains—and fundamentally reshaping finance professionals’ roles. Artificial intelligence promises to ignite a revolution in the corporate finance function, ...

Energy-efficient spikformer has been proposed by integrating the biologically plausible spiking neural network (SNN) and artificial transformer, whereby the spiking self-attention (SSA) is used to ...

An extension to numpy using discrete fourier transforms to compute the curl of 2D and 3D functions. This produces results far more accurate than using 10th-order finite difference derivatives (which ...

An extension to numpy using discrete fourier transforms to compute the curl of 2D and 3D functions. This produces results far more accurate than using 10th-order finite difference derivatives (which ...

This multipart series will review the discrete Fourier Transform and describe how to avoid common problems when transitioning from the time to frequency domain. A recent post on phase noise discussed ...