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 ...

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 ...

In an earlier article, we discussed the basics of setting up a fast-Fourier transform (FFT) on an oscilloscope, and why you’d want to use an FFT to get a frequency-domain view of a time-domain signal ...

Fast Fourier Transforms. Spectrum Analyzers. Waterfall displays. Not long ago, such terms were reserved for high end test gear. But oh, how things have changed! It’s no surprise to many Hackaday ...

To avoid the problem of the traditional methods consuming large computational resources to calculate the kernel matrix and 2D discrete convolution, we present a novel approach for 3D gravity and ...

The sparse Fourier transform has emerged as a pivotal advancement in spectral analysis, enabling the rapid recovery of signals that exhibit only a few non‐zero frequency components. Traditional fast ...

(via Veritasium) The Fast Fourier Transform is used everywhere but it has a fascinating origin story that could have ended the nuclear arms race.

Multiple domains provide designers and test engineers with complementary views of acquired signals. Oscilloscopes originated as instruments that measure electrical signals in the time domain. The ...

Over at Quanta Magazine [Shalma Wegsman] asks What Is the Fourier Transform? [Shalma] begins by telling you a little about Joseph Fourier, the French mathematician with an interest in heat propagation ...