Algebraic estimation of a biased and noisy continuous signal via orthogonal polynomials - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Communication Dans Un Congrès Année : 2016

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

Résumé

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.
Fichier principal
Vignette du fichier
UQ_CDC_2016.pdf (211.27 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01380320 , version 1 (12-10-2016)

Identifiants

  • HAL Id : hal-01380320 , version 1

Citer

Rosane Ushirobira, Alban Quadrat. Algebraic estimation of a biased and noisy continuous signal via orthogonal polynomials. CDC 2016 - 55th IEEE Conference on Decision and Control, Dec 2016, Las Vegas, United States. ⟨hal-01380320⟩
141 Consultations
163 Téléchargements

Partager

Gmail Facebook X LinkedIn More