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Abstract: The letter presents an improved algorithm for computation of general integer-order Hankel transforms, which is back-projection based. The original algorithm breaks the Hankel transform into ...

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Abstract: The Fourier transform decomposes a function into frequencies, and it is a powerful tool in analysis: it "maps" convolutions into multiplications, and derivatives into polynomials. When ...

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, ...

In the previous issue we examined a signal generator in Mathematica environment. In real generators, the deformation of the waveform produced must be taken into account. We examined a signal generator ...

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The Allen Telescope Array, Hat Creek Radio Observatory. Credit: Alexander Pollak. Radio interferometry is a technique in radio astronomy where signals from two or more radio telescopes are combined to ...

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 ...

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