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Critique du rapport signal à bruit en communications numériques -- Questioning the signal to noise ratio in digital communications

Michel Fliess 1, 2
1 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
2 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
Abstract : 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.
Keywords : nonstandard analysis. Information theory signal processing digital communications carriers symbols modulation demodulation noises estimation signal to noise ratio operational calculus noncommutative algebra nonstandard analysis differential algebra
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https://hal.inria.fr/inria-00311719
Contributor : Michel Fliess <>
Submitted on : Wednesday, August 20, 2008 - 2:32:11 PM
Last modification on : Tuesday, November 24, 2020 - 2:18:20 PM
Long-term archiving on: : Thursday, June 3, 2010 - 6:36:56 PM

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  • HAL Id : inria-00311719, version 1
  • ARXIV : 0808.3712

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Michel Fliess. Critique du rapport signal à bruit en communications numériques -- Questioning the signal to noise ratio in digital communications. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2008, 2007 Conference in Honor of Claude Lobry, 9, pp.419-429. ⟨inria-00311719v1⟩

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