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.

It is a way of taking a signal or a function and deconstructing it into a series of sines and cosines. Today, Fourier transforms are prevalent in many areas of science and engineering. They are used ...

Fourier transforms make it possible for our electronics to handle visual and audio signals in a sophisticated way. They underlie our ability to process this data efficiently, and teach computers ...

Linear Canonical Transform (LCT): A generalised integral transform characterised by four parameters, encompassing Fourier, fractional Fourier, and Fresnel transforms, used for diverse signal ...

When James Cooley and John Tukey introduced the Fast Fourier transform in 1965, it revolutionized signal processing and set us on course to an array of technological breakthroughs. But today’s ...

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 ...