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A fast Fourier transform (FFT) is an algorithm that calculates the discrete Fourier transform (DFT) of some sequence – the discrete Fourier transform is a tool to convert specific types of sequences of functions into other types of representations. Another way to explain discrete Fourier transform is that it transforms the structure of the cycle of a waveform into sine components.
A fast Fourier transform can be used in various types of signal processing. It may be useful in reading things like sound waves, or for any image-processing technologies. A fast Fourier transform can be used to solve various types of equations, or show various types of frequency activity in useful ways.
As an extremely mathematical part of both computing and electrical engineering, fast Fourier transform and the DFT are largely the province of engineers and mathematicians looking to change or develop elements of various technologies. For example, fast Fourier transform might be helpful in sound engineering, seismology or in voltage measurements.