The Mamyshev oscillator (MO) is a type of fiber laser capable of producing high-energy laser pulses at a tunable repetition ...

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 ...

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.

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 algorithm gives an exact solution of a discrete Fourier transform, the “fast” comes from the fact that it use O(n log n) operations instead of O(n²) using a clever divide-and-conquer idea.

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.