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A fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT). Fourier analysis converts a signal from its original domain (often time or space) to a representation in the frequency domain and vice versa.
- What is Fast Fourier Transform used for?
- What does a fast Fourier transform tell you?
- What is FFT and DFT?
- Who found the Fast Fourier Transform?
What is Fast Fourier Transform used for?
3.7 Fast-Fourier transform
The FFT algorithm is used to convert a digital signal (x) with length (N) from the time domain into a signal in the frequency domain (X), since the amplitude of vibration is recorded on the basis of its evolution versus the frequency at that the signal appears [40].
What does a fast Fourier transform tell you?
The "Fast Fourier Transform" (FFT) is an important measurement method in the science of audio and acoustics measurement. It converts a signal into individual spectral components and thereby provides frequency information about the signal.
What is FFT and DFT?
FFT is a much efficient and fast version of Fourier transform whereas DFT is a discrete version of Fourier transform. ... DFT is a mathematical algorithm which transforms time-domain signals to frequency domain components on the other hand FFT algorithm consists of several computation techniques including DFT.
Who found the Fast Fourier Transform?
50 Years of FFT Algorithms and Applications
The fast Fourier transform (FFT) algorithm was developed by Cooley and Tukey in 1965. It could reduce the computational complexity of discrete Fourier transform significantly from \(O(N^2)\) to \(O(N\log _2 N)\).
