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APPROCHES POUR L'ANALYSE DES SIGNAUX A PHASE POLYNOMIALE DANS UN ENVIRONNEMENT NON GAUSSIEN

Abstract : Polynomial phase signals (PPS) have found use in many area of engineering such as in radar and communication. The main problem is to estimate the parameters of such signals. Many research works have been conducted in the last decade and led to the development of various algorithms based on different mathematical tools such as time-frequency, subspace methods, High order statistics and Kalman filtering. Though, these methods have proven to perform well in estimating the signal parameters, they assume that the noise is Gaussian. The research work presented in the thesis deals with the analysis of PPS in non Gaussian environment. In this context, the noise is considered to have either an alpha-stable distribution, or epsilon-contaminated model. Three approaches of estimation are explored. The first method concerns robust time-frequency analysis of PPS, we propose to integrate the fractional lower statistics in the kernel of the polynomial phase Wigner-Ville Distribution to obtain a robust time-frequency distribution able to reveal the instantaneous frequency of the PPS. The second approach, deals with robust subspace method based on the MUSIC estimator using the covariation matrix, we propose a modified MUSIC algorithm which is able to track the values of the coefficients of the phase. Finally, using the nonlinear state space model of PPS, we explore the use of the Kalman filter for robust estimation of PPS in epsilon-contaminated noise. In this context, three types of Kalman filters are proposed: The robust extended Kalman filter, the parallel extended Kalman filter. To avoid linearization an alternative method is proposed based on parallel unscented Kalman filters.
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https://tel.archives-ouvertes.fr/tel-00010277
Contributor : Mounir Djeddi <>
Submitted on : Monday, September 26, 2005 - 11:31:07 AM
Last modification on : Wednesday, October 14, 2020 - 3:57:00 AM
Long-term archiving on: : Friday, April 2, 2010 - 9:52:39 PM

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Mounir Djeddi. APPROCHES POUR L'ANALYSE DES SIGNAUX A PHASE POLYNOMIALE DANS UN ENVIRONNEMENT NON GAUSSIEN. Traitement du signal et de l'image [eess.SP]. Université Paris Sud - Paris XI, 2005. Français. ⟨tel-00010277⟩

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