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.

The principle of the Fourier transform, which dates back to the 19th century, is that any signal, such as a sound recording, can be represented as the sum of a collection of sine and cosine waves ...

This article focuses on the use of electron microscopy paired with fast Fourier transform (FFT-EM), its advantages and limitations, alternative methods, and recent studies ... through constant tilting ...

FFTs (Fast Fourier Transforms) are simply a way of making this magic happen in a digital computer, but the combination of math and machine means the FFT has revolutionized science and many ...