Fractional transforms extend classical integral transforms by introducing a continuous parameter that governs the interpolation between time and frequency domains. The fractional Fourier transform ...

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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 ...

In addition to the Fourier and Hankel transforms, there are other integral transforms that are useful in optics and optical signal processing, which will be introduced here from a purely mathematical ...

The notion of “signal processing” might seem like something impenetrably complex, even to scientists. However, the fact is that most of them have already being doing it for a long time, albeit in an ...

The Fast Fourier Transform (FFT) is an implementation of the Discrete Fourier Transform (DFT) using a divide-and-conquer approach. A DFT can transform any discrete signal, such as an image, to and ...

A key algorithm that quietly empowers and simplifies our electronics is the Fourier transform, which turns the graph of a signal varying in time into a graph that describes it in terms of its ...

While the Fourier transform gets all the attention, there are other transforms that engineers and mathematicians use to transform signals from one form to another. Sometimes you use a transform to ...

The Fourier transform underpins so much of our technological lives, in most cases probably without our realising it. The ability to mathematically split a waveform into its frequency components and ...