Théorie des signaux/Automatique théorique
Analyse non standard du bruit
Comptes Rendus. Mathématique, Volume 342 (2006) no. 10, pp. 797-802.
La formalisation non standard, due à P. Cartier et Y. Perrin, des oscillations rapides fournit un cadre mathématique adéquat pour de nouvelles techniques d'estimation non asymptotiques, ne nécessitant pas l'analyse statistique habituelle des bruits entachant tout capteur. On en tire diverses conséquences sur les bruits multiplicatifs, la largeur des fenêtres d'estimations paramétriques et les erreurs en rafales.
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 noise corrupting any sensor. Various applications are deduced for multiplicative noises, for the length of the parametric estimation windows, and for burst errors.
Reçu le :
Accepté le :
Publié le :
DOI :
10.1016/j.crma.2006.02.037
Accepté le :
Publié le :
Affiliations des auteurs :
Michel Fliess 1
@article{CRMATH_2006__342_10_797_0,
author = {Michel Fliess},
title = {Analyse non standard du bruit},
journal = {Comptes Rendus. Math\'ematique},
pages = {797--802},
publisher = {Elsevier},
volume = {342},
number = {10},
year = {2006},
doi = {10.1016/j.crma.2006.02.037},
language = {fr},
}
Michel Fliess. Analyse non standard du bruit. Comptes Rendus. Mathématique, Volume 342 (2006) no. 10, pp. 797-802. doi : 10.1016/j.crma.2006.02.037. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.02.037/
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