A Fast Robust and Simple Algorithm for Estimating Parameters of Polynomial Phase Signals. Une Méthode Rapide Robuste et Simple pour L’Estimation des Paramètres d’un Signal À Phase Polynomiale

A Fast Robust and Simple Algorithm for Estimating Parameters of Polynomial Phase Signals.

Une Méthode Rapide Robuste et Simple pour L’Estimation des Paramètres d’un Signal À Phase Polynomiale

Olivier Fourt Messaoud Benidir 

Laboratoire des Signaux et Systèmes, Supélec, Université Paris-Sud, 3 rue Joliot-Curie 91190 Gif-sur-Yvette (France)

Page: 
165-173
|
Received: 
4 September 2006
|
Accepted: 
N/A
|
Published: 
30 June 2007
| Citation

OPEN ACCESS

Abstract: 

Polynomial phase signals belong to a wide class of signals used for modeling but processing associated to them are always difficult since they are non-stationary signals.In the method introduced in this paper,we take benefits of some advances in robust estimation in order to build a new algorithm for estimating the phasis parameters of polynomial phase signal.This algorithm has the advantages of being fast and being able to deal with signal whose phase is a polynomial of unknown order.The structure of this algorithm is robust to the shape of the noise.

Résumé

Les signaux à phase polynomiale constituent une vaste classe de signaux utilisés en modélisation mais leurs traitements se révèlent difficiles en raison de leur caractère non-stationnaire. Dans la méthode présentée dans cet article,nous mettons à profit de récents travaux en matière d’estimation robuste afin de réaliser un nouvel algorithme d’estimation des paramètres de la phase d’un signal. Cet algorithme présente les avantages d’être rapide et capable de traiter des signaux dont la phase est d’ordre inconnu. La structure de cet algorithme reste indépendante par le type de bruit car il est résistant à la forme de la distribution du bruit.

Keywords: 

Polynomial phase signals,Instantaneous frequency,Robust estimation,Parametric estimation,Impulse noise.

Mots clés 

Signaux à phase polynomiale,Fréquence instantanée,Estimation robuste,Estimation paramétrique, Bruit impulsif.

1. Introduction
2. La Fréquence Instantanée
3. Estimation des Paramètres de Phase
4. Estimation des Paramètres d’un SPP d’ordre Inconnu
5. Simulations et Performances
6. Conclusion
  References

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