Algebraic estimation of a biased and noisy continuous signal via orthogonal polynomials

Ushirobira, Rosane; Quadrat, Alban

Type de document :

Communication dans un congrès avec actes

Titre :

Algebraic estimation of a biased and noisy continuous signal via orthogonal polynomials

Auteur(s) :

Ushirobira, Rosane [Auteur]

Non-Asymptotic estimation for online systems [NON-A]
Quadrat, Alban [Auteur]
Non-Asymptotic estimation for online systems [NON-A]

Titre de la manifestation scientifique :

CDC 2016 - 55th IEEE Conference on Decision and Control

Ville :

Las Vegas

Pays :

Etats-Unis d'Amérique

Date de début de la manifestation scientifique :

2016-12-12

Discipline(s) HAL :

Sciences de l'ingénieur [physics]/Automatique / Robotique

Résumé en anglais : [en]

Many important problems in Signal Processing and Control Engineering concern the reconstitution of a noisy biased signal. For this issue, in this paper we consider the signal written as an orthogonal polynomial series ...
Lire la suite >Many important problems in Signal Processing and Control Engineering concern the reconstitution of a noisy biased signal. For this issue, in this paper we consider the signal written as an orthogonal polynomial series expansion and we provide an algebraic estimation of its coefficients. We specialize in Hermite polynomials. On the other hand, the dynamical system described by the noisy biased signal may be given by a differential equation associated with classical orthogonal polynomials. The signal may be recovered through the coefficients identification. As an example, we illustrate our algebraic method on the parameter estimation in the case of Hermite polynomials differential equations.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

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