Linear transforms — like a Fourier transform — are a key math tool in engineering and science. A team from UCLA recently published a paper describing how they used deep learning techniques to design ...

When last we saw [xoreaxeax], he had built a lens-less optical microscope that deduced the structure of a sample by recording ...

A new algorithm performs Fourier transforms using a minimal number of samples. The fast Fourier transform, one of the most important algorithms of the 20th century, revolutionized signal processing.

Researchers have developed a new algorithm that, in a large range of practically important cases, improves on the fast Fourier transform. Under some circumstances, the improvement can be dramatic -- a ...

The fast Fourier transform, one of the most important algorithms of the 20th century, revolutionized signal processing. The algorithm allowed computers to quickly perform Fourier transforms — ...

If you’ve spent any time on the Internet, at some point you’ve heard the phrase “Fourier transform.” It’s it’s a mathematical discovery that’s baked into everything from MP3s to quantum physics. Once ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. COFDM, the modulation method used by most terrestrial DTV standards, depends on implementation of ...

Harmonic analysis occupies a central position in modern mathematical analysis by providing the tools to express complex functions as superpositions of simpler sinusoidal components via the Fourier ...

To make a direct comparison between Fourier and Zernike reconstructions of ocular wavefronts using a newly available analytical theory by which Fourier coefficients can be converted to Zernike ...

Fourier analysis provides a powerful framework for decomposing functions into sums or integrals of sinusoidal components, thereby enabling the study of frequency content in signals. In tandem, ...