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mathematical technique > data analysis > signal processing > discrete Fourier transform

Terme préférentiel

discrete Fourier transform  

Définition(s)

  • In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of equally-spaced samples of the discrete-time Fourier transform (DTFT), which is a complex-valued function of frequency. The interval at which the DTFT is sampled is the reciprocal of the duration of the input sequence. An inverse DFT is a Fourier series, using the DTFT samples as coefficients of complex sinusoids at the corresponding DTFT frequencies. It has the same sample-values as the original input sequence. The DFT is therefore said to be a frequency domain representation of the original input sequence. If the original sequence spans all the non-zero values of a function, its DTFT is continuous (and periodic), and the DFT provides discrete samples of one cycle. If the original sequence is one cycle of a periodic function, the DFT provides all the non-zero values of one DTFT cycle. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Discrete_Fourier_transform)

Concept(s) générique(s)

Concept(s) spécifique(s)

Synonyme(s)

  • discrete Fourier transformation

Traductions

URI

http://data.loterre.fr/ark:/67375/MDL-MS6NT86N-0

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RDF/XML TURTLE JSON-LD Dernière modif. 24/04/2023