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Fourier transformation (FT)

A Fourier transform(FT) is a mathematical method used to transform signals from the time domain to the frequency domain. It is thus used to determine the frequency spectrum of a time-related signal.

The Fourier transform of a pure sinusoidal signal from the time domain to the frequency domain results in a single spectral line. All other non-sinusoidal signals such as square wave signals, modulated signals, pulses, etc. consist of a fundamental wave and several harmonics differing in amplitude.

Example of a Fourier transform, the conversion from the time to the frequency domain.

Example of a Fourier transform, the conversion from the time to the frequency domain.

In computer technology, the Fourier transform is usually implemented as a mathematical procedure in the form of the Fast Fourier Transform( FFT). The inverse of the Fourier transform, i.e. the transformation of a frequency-related function into a time-related one, is called inverse Fourier transform. The name of the transformation goes back to the French mathematician Baron Jean Baptiste Joseph Fourier, who lived from 1768 to 1830.

Informations:
Englisch: Fourier transformation - FT
Updated at: 01.08.2018
#Words: 157
Links: fault tolerance (FT), method, domain, frequency domain, signal
Translations: DE
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