Abstract: This paper investigates the convolutive transfer function (CTF) model in the short-time Fourier transform (STFT) domain. The CTF model depends on both the analysis window length and the step ...

A pure Python implementation of Shor's quantum factorisation algorithm using classical matrix operations to simulate quantum circuits. This educational project demonstrates the core concepts of Shor's ...

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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, ...

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 ...

In part 3 of this series, we used the inverse fast Fourier transform (IFFT) to create 100-Hz time-domain waveforms of various amplitudes and phases. We can also use the IFFT to create waveforms ...

The inverse transform can create a time-domain waveform where no waveform has been before. In part 2 of this series, we used the discrete Fourier transform to convert a waveform from the time domain ...

The significant brightness contrast between stars and orbiting planets often hinders the detection of exoplanets. This paper presents the development and validation of an experimental setup and ...

Fourier transform is a key method for analyzing signals in both time and frequency domains. The FFT is a computational algorithm that efficiently computes the discrete Fourier transform (DFT) and its ...