New trends in parametric models from 1 to the 3-D case

In the framework of model based multidimensional signal processing this lecture deals with a derivation of new parametric models.
In the first part we will provide with the limitations of the AR models in the case of signals with periodicities and propose the so called sine-AR models exercised in various real signals [1].
In the second part we provide the limitations of the AR models in the 2-D case, an extension of the Schur-Cohn stability test to the 2-D case [7][8][9] and propose new models for texture characterization based on the 2-D Wold decomposition [2]. In a third part we will provide with the very current results on 3-D models to characterize textured volumes [3], [4], [5], [6].
References :
1- D. Labarre, E. Grivel, Y. Berthoumieu and M. Najim: “A stochastic sinusoidal model with application to speech and EEG-sleep spindles signals” Proc. EUSIPCO 2002.
2- Cl. Ramanjarasoa, O. Alata, M. Najim: “2-D Wold decomposition: a new parameter estimation approach to evanescent field EUSIPCO, 2000, extended paper submitted to IEEE Transactions on Image Processing, 2004.
3-Y. Stitou, F. Turcu et M. Najim: {Nouveaux modèles paramétriques 3-D } Proc. GRETSI 2003, Paris sept. 9-13.
B. Aksasse, Y. Stitou, Y. Berthoumieu, M. Najim: {Order estimation for the 3-D AR model } under revision for the IEEE Trans. on Signal Processing, 2004.
F. Turcu, Y. Stitou and M. Najim: “Multidimensional Wold decomposition” submitted to the Journal of Multivariate Analysis, 2004.
F. Turcu and M. Najim:” 3-D Model based on generalized Wold decomposition ” submitted to the Journal of Multivariate Analysis, 2004.
O. Alata, M. Najim. F. Turcu “ Extension of the Schur-Cohn stability test to 2-D case for AR quarter-plane model” IEEE Trans. on Information Theory, vol 49, n°11, pp. 3099-3106, 2003.
I. Serban, F. Turcu and M. Najim: “Multidimensional Schur Coefficients”, submitted to the Journal of Mathematical Analysis and Applications, marsh. 2005
I. Serban, F. Turcu, Y. Stitou and M. Najim: “Multidimensional Schur Coefficients and BIBI Stability” revised for the Journal of Information and Systems , 2005

Speaker Details

Mohamed Najim (M’74-SM’83-F’89) received the Dr.Sci. degree from the University of Toulouse, Toulouse, France, in 1972. In 1972, he joined the University of Rabat, Morocco, as an Associate Professor, where he became a Professor in 1974. Since 1988, he has been Professor with the ENSEIRB/University of Bordeaux, France, where he founded the Signal and Image Processing Laboratory. He has worked in various fields, including microwaves, modelling and identification, adaptive filtering including H infinity, and control. His research interests are presently modelling and identification in multidimensional signal and image processing with applications in speech, seismic, biomedical, radar signal processing, textures, and image enhancement. He supervised more than 50 Ph. D. theses and published over 230 scientific papers and co-authored several books, including “Parametric Modelling in Image Processing” (Paris, France: Masson, 1994). He is author of the book “Modelling and Identification in Signal Processing” (Paris, France:Masson, 1988) . He is the editor of the book “Digital Filtering in Signal and Image Processing” (London, Hermes Publisher , french version in 2004 and english version 2005) . He set up the “CAD Software Library” group within the GDR-CNRS TdSI, which is a French research program on signal and image processing. M. Najim has organized 15 international conferences on Control, Signal Processing, and Friendly Exchange through the Internet. He co-organized with Prof. Th. Kailath (Stanford) and Prof. P. Dewilde (Delft) two Workshops respectively dedicated to Maths and Systems (Saint Emilion, France, 1997) and Structured Algorithms (Cazland, Netherlands, 2002). He is the Chairman of the IEEE Statistical Signal Processing Conference 05 to be held in Bordeaux, July 2005. He was the Editor of numerous symposia proceedings. From 1981 to 1990, he was a member of the IFAC Technical Board. He is currently a member of the Technical Committee on Digital Signal Processing of the IEEE Circuits and Systems Society. Since 1999, he has been an elected Associate Member of the Third World Academy of Sciences. Since 2001 he leads the Joint Total/CNRS laboratory.

Date:
Speakers:
Mohamed Najim
Affiliation:
ENSEIRB/University of Bordeaux, France

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