The Fourier transform is a well-known mathematical tool that allows physical phenomena to be analysed in the inverse domain — a technique used throughout many areas of scientific research.

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 ...

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 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 techniq… ...

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 ...

The Fourier transform was—perhaps unsurprisingly—developed by the mathematician Baron Jean-Baptiste-Joseph Fourier and published in his 1822 book, The Analytical Theory of Heat.

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

With the new algorithm, called the sparse Fourier transform (SFT), streams of data can be processed 10 to 100 times faster than was possible with the FFT.

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 ...