Michel Fliess - Questioning the signal to noise ratioin digital communications

arima:1908 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, October 22, 2008, Volume 9, 2007 Conference in Honor of Claude Lobry, 2008 - https://doi.org/10.46298/arima.1908
Questioning the signal to noise ratioin digital communications

Authors: Michel Fliess 1,2

  • 1 Algebra for Digital Identification and Estimation
  • 2 Laboratoire d'informatique de l'École polytechnique [Palaiseau]

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.

https://doi.org/10.46298/arima.1908
Source: HAL:inria-00311719v4
Volume: Volume 9, 2007 Conference in Honor of Claude Lobry, 2008
Published on: October 22, 2008
Submitted on: April 17, 2008
Keywords: noncommutative algebra, nonstandard analysis., differential algebra, operational calculus, estimation, signal to noise ratio, noises, demodulation, modulation, symbols, carriers, signal processing, digital communications,Information theory,porteuses,symboles,modulation,démodulation,bruits,estimation,rapport signal à bruit,calcul opérationnel,algèbre différentielle,algèbre non commutative,analyse non standard,Théorie de l’information,traitement du signal,communications numériques,[INFO] Computer Science [cs],[MATH] Mathematics [math]

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