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  1. Home > Articles & Issues >
  2. Articles >
  3. Critique du rapport ...
Article

Critique du rapport signal à bruit en communications numériques

Michel Fliess (1) (2)
(1) Algebra for Digital Identification and Estimation
(2) Laboratoire d'informatique de l'École polytechnique [Palaiseau]
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Imported on
April 16, 2008
Published on
October 21, 2008
Last modified on
March 31, 2025
Special issue 9
Volume 9, 2007 Conference in Honor of Claude Lobry, 2008
DOI
10.46298/arima.1908
License
https://about.hal.science/hal-authorisation-v1
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Critique du rapport signal à bruit en communications numériques

Michel Fliess (1) (2)
(1) Algebra for Digital Identification and Estimation
(2) Laboratoire d'informatique de l'École polytechnique [Palaiseau]
Abstract
English
The signal to noise ratio, which plays such an important rôle in information theory, is shown to become pointless for digital communications where the demodulation is achieved via new fast estimation techniques. Operational calculus, differential algebra, noncommutative algebra and nonstandard analysis are the main mathematical tools.
French
On démontre que le rapport signal à bruit, si important en théorie de l’information, devient sans objet pour des communications numériques où la démodulation s’effectue selon des techniques nouvelles d’estimation rapide. Calcul opérationnel, algèbre différentielle, algèbre non commutative et analyse non standard sont les principaux outils mathématiques.
Keywords
English
  • [INFO]Computer Science [cs]
  • [MATH]Mathematics [math]
  • Information theory
  • signal processing
  • digital communications
  • carriers
  • symbols
  • modulation
  • demodulation
  • noises
  • estimation
  • signal to noise ratio
  • operational calculus
  • differential algebra
  • noncommutative algebra
  • nonstandard analysis.
French
  • Théorie de l’information
  • traitement du signal
  • communications numériques
  • porteuses
  • symboles
  • modulation
  • démodulation
  • bruits
  • estimation
  • rapport signal à bruit
  • calcul opérationnel
  • algèbre différentielle
  • algèbre non commutative
  • analyse non standard
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