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 ...

This is the Fourier Transform. You can thank it for providing the music you stream every day, squeezing down the images you see on the Internet into tiny little JPG files, and even powering your ...

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 ...

Advances are occurring in spectroscopy, reducing the challenges of rapid signal saturation and the need for extensive sample prep.

An interesting aspect of time-varying waveforms is that by using a trick called a Fourier Transform (FT), they can be represented as the sum of their underlying frequencies. This mathematical ...

A pioneer of FT-ICR Mass Spectrometry, Alan G. Marshall (1944–2025), is best known for co-inventing Fourier transform ion ...

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 ...

Dina Katabi, Haitham Hassanieh, Piotr Indyk, and Eric Price have created a faster way to perform the Fourier transform, a mathematical technique for processing streams of data that underlies the ...

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 ...