{"id":184102,"date":"2005-06-06T00:00:00","date_gmt":"2009-10-31T13:22:41","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/msr-research-item\/new-trends-in-parametric-models-from-1-to-the-3-d-case\/"},"modified":"2016-09-09T09:54:38","modified_gmt":"2016-09-09T16:54:38","slug":"new-trends-in-parametric-models-from-1-to-the-3-d-case","status":"publish","type":"msr-video","link":"https:\/\/www.microsoft.com\/en-us\/research\/video\/new-trends-in-parametric-models-from-1-to-the-3-d-case\/","title":{"rendered":"New trends in parametric models from 1 to the 3-D case"},"content":{"rendered":"
\n

In the framework of model based multidimensional signal processing this lecture deals with a derivation of new parametric models.
\nIn 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].
\nIn 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].
\nReferences :
\n1- D. Labarre, E. Grivel, Y. Berthoumieu and M. Najim: \u201cA stochastic sinusoidal model with application to speech and EEG-sleep spindles signals\u201d Proc. EUSIPCO 2002.
\n2- Cl. Ramanjarasoa, O. Alata, M. Najim: \u201c2-D Wold decomposition: a new parameter estimation approach to evanescent field EUSIPCO, 2000, extended paper submitted to IEEE Transactions on Image Processing, 2004.
\n3-Y. Stitou, F. Turcu et M. Najim: {Nouveaux mod\u00e8les param\u00e9triques 3-D } Proc. GRETSI 2003, Paris sept. 9-13.
\nB. 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.
\nF. Turcu, Y. Stitou and M. Najim: “Multidimensional Wold decomposition” submitted to the Journal of Multivariate Analysis, 2004.
\nF. Turcu and M. Najim:” 3-D Model based on generalized Wold decomposition ” submitted to the Journal of Multivariate Analysis, 2004.
\nO. Alata, M. Najim. F. Turcu \u201c Extension of the Schur-Cohn stability test to 2-D case for AR quarter-plane model\u201d IEEE Trans. on Information Theory, vol 49, n\u00b011, pp. 3099-3106, 2003.
\nI. Serban, F. Turcu and M. Najim: \u201cMultidimensional Schur Coefficients\u201d, submitted to the Journal of Mathematical Analysis and Applications, marsh. 2005
\nI. Serban, F. Turcu, Y. Stitou and M. Najim: \u201cMultidimensional Schur Coefficients and BIBI Stability\u201d revised for the Journal of Information and Systems , 2005<\/p>\n<\/div>\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

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 […]<\/p>\n","protected":false},"featured_media":290213,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr_hide_image_in_river":0,"footnotes":""},"research-area":[],"msr-video-type":[],"msr-locale":[268875],"msr-post-option":[],"msr-session-type":[],"msr-impact-theme":[],"msr-pillar":[],"msr-episode":[],"msr-research-theme":[],"class_list":["post-184102","msr-video","type-msr-video","status-publish","has-post-thumbnail","hentry","msr-locale-en_us"],"msr_download_urls":"","msr_external_url":"https:\/\/youtu.be\/orqcK3pqa_o","msr_secondary_video_url":"","msr_video_file":"","_links":{"self":[{"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-video\/184102","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-video"}],"about":[{"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/types\/msr-video"}],"version-history":[{"count":0,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-video\/184102\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/media\/290213"}],"wp:attachment":[{"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/media?parent=184102"}],"wp:term":[{"taxonomy":"msr-research-area","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/research-area?post=184102"},{"taxonomy":"msr-video-type","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-video-type?post=184102"},{"taxonomy":"msr-locale","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-locale?post=184102"},{"taxonomy":"msr-post-option","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-post-option?post=184102"},{"taxonomy":"msr-session-type","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-session-type?post=184102"},{"taxonomy":"msr-impact-theme","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-impact-theme?post=184102"},{"taxonomy":"msr-pillar","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-pillar?post=184102"},{"taxonomy":"msr-episode","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-episode?post=184102"},{"taxonomy":"msr-research-theme","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-research-theme?post=184102"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}