The reason the Fourier transform is so prevalent is an algorithm called the fast Fourier transform (FFT), devised in the mid-1960s, which made it practical to calculate Fourier transforms on the fly.

A new algorithm performs Fourier transforms using a minimal number of samples. The fast Fourier transform, one of the most important algorithms of the 20th century, revolutionized signal processing.

It was improved on in the mid-60s with the Fast Fourier Transform (FFT) algorithm, which, as the name suggests, made the whole process much quicker and practical to use.

The reason the Fourier transform is so prevalent is an algorithm called the fast Fourier transform (FFT), devised in the mid-1960s, which made it practical to calculate Fourier transforms on the fly.

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Fast Fourier Transform (FFT): An algorithm that computes the Discrete Fourier Transform (DFT) efficiently in O(N log N) time. Frequency Bucketisation: The process of mapping frequency domain data ...

Like the FFT, the new algorithm works on digital signals. A digital signal is just a series of numbers - discrete samples of an analog signal, such as the sound of a musical instrument.