Analyse non standard du bruit

Michel Fliess 1, 2
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 : Thanks to the nonstandard formalization of fast oscillating functions, due to P. Cartier and Y. Perrin, an appropriate mathematical framework is derived for new non-asymptotic estimation techniques, which do not necessitate any statistical analysis of the noises corrupting any sensor. Various applications are deduced for multiplicative noises, for the length of the parametric estimation windows, and for burst errors.
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Submitted on : Monday, February 27, 2006 - 6:55:35 PM
Last modification on : Wednesday, March 27, 2019 - 4:41:27 PM
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Michel Fliess. Analyse non standard du bruit. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2006, 342 (15 mai 2006), pp.797-802. ⟨inria-00001134⟩



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