The linear canonical transform (LCT) is a versatile integral transform that generalises classical transforms such as the Fourier, fractional Fourier, and Fresnel transforms. By utilising four ...

A talk, The Unreasonable Effectiveness of the Fourier Transform, was presented by [Joshua Wise] at Teardown 2025 in June last ...

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 ...

In January, four MIT researchers showed off a replacement for one of the most important algorithms in computer science. Dina Katabi, Haitham Hassanieh, Piotr Indyk, and Eric Price have created a ...

If you do any electronics work–especially digital signal processing–you probably know that any signal can be decomposed into a bunch of sine waves. Conversely, you can generate any signal by adding up ...

Researchers from MIT have developed a new algorithm designed to improve on the fast Fourier transform (FFT) in a large number of cases. The discovery paves the way for smartphones to wirelessly ...

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, ...