@prefix mdl: <http://data.loterre.fr/ark:/67375/MDL> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .

mdl:-GRB0KWX1-1
  skos:altLabel "Hilbert transformation"@en ;
  skos:hiddenLabel "transformations de Hilbert"@fr, "Transformation Hilbert"@fr ;
  skos:prefLabel "Hilbert transform"@en, "transformation de Hilbert"@fr ;
  skos:definition "En mathématiques et en traitement du signal, la transformation de Hilbert, ici notée H, d'une fonction de la variable réelle est une transformation linéaire qui permet d'étendre un signal réel dans le domaine complexe, de sorte qu'il vérifie les équations de Cauchy-Riemann. (Wikipedia, L'Encylopédie Libre, <a href=\"https://fr.wikipedia.org/wiki/Transformation_de_Hilbert\" target=\"_blank\">https://fr.wikipedia.org/wiki/Transformation_de_Hilbert</a>)"@fr, "In mathematics and in signal processing, the Hilbert transform is a specific linear operator that takes a function, u(t) of a real variable and produces another function of a real variable H(u)(t). This linear operator is given by convolution with the function 1 / ( π t ). The Hilbert transform has a particularly simple representation in the frequency domain: It imparts a phase shift of ±90° (π⁄2 radians) to every frequency component of a function, the sign of the shift depending on the sign of the frequency. The Hilbert transform is important in signal processing, where it is a component of the analytic representation of a real-valued signal u(t). The Hilbert transform was first introduced by David Hilbert in this setting, to solve a special case of the Riemann–Hilbert problem for analytic functions. (Wikipedia, The Free Encyclopedia, <a href=\"https://en.wikipedia.org/wiki/Hilbert_transform\" target=\"_blank\">https://en.wikipedia.org/wiki/Hilbert_transform</a>)"@en ;
  skos:inScheme mdl: ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Transformation_de_Hilbert>, <https://en.wikipedia.org/wiki/Hilbert_transform> ;
  a skos:Concept ;
  skos:broader mdl:-F2LKS79D-B .

mdl: a skos:ConceptScheme .
mdl:-F2LKS79D-B
  skos:prefLabel "linear operator"@en, "opérateur linéaire"@fr ;
  a skos:Concept ;
  skos:narrower mdl:-GRB0KWX1-1 .