{"id":622,"date":"2025-01-09T20:55:17","date_gmt":"2025-01-09T19:55:17","guid":{"rendered":"https:\/\/mastertechq.lpl.univ-paris13.fr\/?page_id=622"},"modified":"2025-01-20T17:31:28","modified_gmt":"2025-01-20T16:31:28","slug":"physique-de-la-chaine-de-mesure-2-1","status":"publish","type":"page","link":"https:\/\/mastertechq.lpl.univ-paris13.fr\/?page_id=622","title":{"rendered":"Physique de la Cha\u00eene de Mesure 2-1"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Physique de la Cha\u00eene de Mesure 2<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-palette-color-1-color\">Signal et bruit<\/mark><\/h3>\n\n\n\n<div id=\"wp-block-themeisle-blocks-advanced-columns-d885d8ee\" class=\"wp-block-themeisle-blocks-advanced-columns has-2-columns has-desktop-twoOne-layout has-tablet-equal-layout has-mobile-collapsedRows-layout has-vertical-unset\"><div class=\"wp-block-themeisle-blocks-advanced-columns-overlay\"><\/div><div class=\"innerblocks-wrap\">\n<div id=\"wp-block-themeisle-blocks-advanced-column-ec83570e\" class=\"wp-block-themeisle-blocks-advanced-column\">\n<h5 class=\"wp-block-heading\"><strong>Objectifs p\u00e9dagogiques<\/strong> :<\/h5>\n\n\n\n<p class=\"wp-block-paragraph\">Introduire les bases du traitement du signal, sur les signaux d\u00e9terministes, les signaux al\u00e9atoires, les bruits de fond, l\u2019\u00e9chantillonnage et la quantification.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><strong>Programme<\/strong> :<\/h5>\n\n\n\n<h6 class=\"wp-block-heading\"><strong>Introduction, outils, d\u00e9finitions (2 CM + 2 TD = 6 H)<\/strong><\/h6>\n\n\n\n<ol class=\"wp-block-list\">\n<li>La th\u00e9orie du signal<\/li>\n\n\n\n<li>Quelques fonctionnelles importantes en th\u00e9orie du signal<\/li>\n\n\n\n<li>Classification des signaux<\/li>\n\n\n\n<li>Mod\u00e8les de signaux et transformations<\/li>\n\n\n\n<li>Transformations simples de signaux<\/li>\n\n\n\n<li>Notions sur les distributions<\/li>\n<\/ol>\n\n\n\n<h6 class=\"wp-block-heading\"><strong>Signaux d\u00e9terministes (3 CM + 3 TD = 9 H)<\/strong><\/h6>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Repr\u00e9sentation vectorielle des signaux<\/li>\n\n\n\n<li>Signaux \u00e0 \u00e9nergie finie et repr\u00e9sentation temporelle<\/li>\n\n\n\n<li>Signaux \u00e0 \u00e9nergie finie et repr\u00e9sentation fr\u00e9quentielle<\/li>\n\n\n\n<li>Signaux \u00e0 puissance finie repr\u00e9sentation temporelle&nbsp;<\/li>\n\n\n\n<li>Signaux \u00e0 puissance finie&nbsp;repr\u00e9sentation fr\u00e9quentielle<\/li>\n<\/ol>\n\n\n\n<h6 class=\"wp-block-heading\"><strong>Syst\u00e8mes lin\u00e9aires et invariants (SLI) (1 CM + 1 TD = 3 H)<\/strong><\/h6>\n\n\n\n<ol class=\"wp-block-list\">\n<li>D\u00e9finitions<\/li>\n\n\n\n<li>Caract\u00e9risation des SLI<\/li>\n\n\n\n<li>Stabilit\u00e9 des SLI<\/li>\n\n\n\n<li>Filtrage lin\u00e9aire<\/li>\n<\/ol>\n\n\n\n<h6 class=\"wp-block-heading\"><strong><strong>Signaux al\u00e9atoires (1 CM + 1 TD = 3 H)<\/strong><\/strong><\/h6>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Probabilit\u00e9s, variables al\u00e9atoires : rappels<\/li>\n\n\n\n<li>L&rsquo;\u00e9tude de signaux al\u00e9atoires : stationnarit\u00e9, ergodisme, densit\u00e9 spectrale de puissance (DSP)<\/li>\n<\/ol>\n\n\n\n<h6 class=\"wp-block-heading\"><strong><strong><strong>Bruits de fond et signal sur bruit (1 CM + 1 TD = 3 H)<\/strong><\/strong><\/strong><\/h6>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Exemples de bruits de fond.<\/li>\n\n\n\n<li>Le calcul de bruit dans les montages<\/li>\n\n\n\n<li>Bruit et applications des techniques de traitement du signal<\/li>\n<\/ol>\n\n\n\n<h6 class=\"wp-block-heading\"><strong><strong><strong>\u00c9chantillonage et quantification (2 CM + 2 TD = 6 H)<\/strong><\/strong><\/strong><\/h6>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u00c9chantillonnage<\/li>\n\n\n\n<li>Transform\u00e9e de Fourier des signaux temporels discrets<\/li>\n\n\n\n<li>Quantification<\/li>\n<\/ol>\n\n\n\n<h5 class=\"wp-block-heading\"><strong>Comp\u00e9tences vis\u00e9es :<\/strong><\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Calculer l\u2019\u00e9nergie et la puissance moyenne totale d\u2019un signal<\/li>\n\n\n\n<li>Modifier des signaux (amplification, d\u00e9calage temporelle et fr\u00e9quentielle, \u2026)<\/li>\n\n\n\n<li>Calculer les transform\u00e9es de Fourier de signaux pour les signaux \u00e0 \u00e9nergie finie et les signaux \u00e0 puissance finies p\u00e9riodiques, et non p\u00e9riodiques dans des cas simples<\/li>\n\n\n\n<li>D\u00e9composer en s\u00e9rie de Fourier les signaux \u00e0 puissance finie p\u00e9riodique.<\/li>\n\n\n\n<li>Manipuler les produits de convolution, les distributions de Dirac et peignes de Dirac<\/li>\n\n\n\n<li>Calculer l\u2019effet de filtres lin\u00e9aires, invariants dans le domaine temporelle et fr\u00e9quentielle sur un signal<\/li>\n\n\n\n<li>Calculer les densit\u00e9s spectrale de bruit provenant de bruits de fond communs (Bruit en 1\/f, bruit blanc type bruit thermique, bruit de photon\/grenaille \u2026)<\/li>\n\n\n\n<li>Calculer des rapports signal sur bruit. Connaitre des m\u00e9thodes simples pour am\u00e9liorer le rapport signal sur bruit (moyennage, d\u00e9tection synchrone \u2026)<\/li>\n\n\n\n<li>D\u00e9crire math\u00e9matiquement l\u2019effet d\u2019\u00e9chantillonnage et de quantification d\u2019un signal<\/li>\n\n\n\n<li>Calculer le spectre d\u2019un signal \u00e9chantillonn\u00e9<\/li>\n\n\n\n<li>Calculer le bruit de quantification<\/li>\n<\/ul>\n\n\n\n<div style=\"height:34px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Enseignant :<\/strong> <a href=\"https:\/\/mastertechq.lpl.univ-paris13.fr\/?page_id=1151\">Mathieu Manceau<\/a><\/p>\n<\/div>\n\n\n\n<div id=\"wp-block-themeisle-blocks-advanced-column-75b1f3ce\" class=\"wp-block-themeisle-blocks-advanced-column\">\n<figure class=\"wp-block-image size-large has-custom-border is-style-default\" id=\"wp-block-themeisle-blocks-image-63724c2a\" style=\"margin-top:0;margin-right:var(--wp--preset--spacing--20);margin-bottom:0;margin-left:var(--wp--preset--spacing--20)\"><img decoding=\"async\" width=\"1024\" height=\"682\" src=\"https:\/\/mastertechq.lpl.univ-paris13.fr\/wp-content\/uploads\/2025\/01\/CNRS_20180037_0016-1024x682.jpg\" alt=\"\" class=\"wp-image-1200\" style=\"border-width:1px;border-radius:11px\" srcset=\"https:\/\/mastertechq.lpl.univ-paris13.fr\/wp-content\/uploads\/2025\/01\/CNRS_20180037_0016-1024x682.jpg 1024w, https:\/\/mastertechq.lpl.univ-paris13.fr\/wp-content\/uploads\/2025\/01\/CNRS_20180037_0016-300x200.jpg 300w, https:\/\/mastertechq.lpl.univ-paris13.fr\/wp-content\/uploads\/2025\/01\/CNRS_20180037_0016-768x511.jpg 768w, https:\/\/mastertechq.lpl.univ-paris13.fr\/wp-content\/uploads\/2025\/01\/CNRS_20180037_0016-1536x1022.jpg 1536w, https:\/\/mastertechq.lpl.univ-paris13.fr\/wp-content\/uploads\/2025\/01\/CNRS_20180037_0016-2048x1363.jpg 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Battement de deux lasers ultrastables transmis par lien optique fibr\u00e9<\/figcaption><\/figure>\n\n\n\n<div style=\"height:80px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\" style=\"font-style:normal;font-weight:400\"><table class=\"has-background has-fixed-layout\" style=\"background-color:#e7b5c3;border-width:2px\"><tbody><tr><td>CM<\/td><td>15 H<\/td><\/tr><tr><td>TD<\/td><td>16.5 H<\/td><\/tr><tr><td>ECTS<\/td><td>3<\/td><\/tr><tr><td>Lieu<\/td><td>Villetaneuse<\/td><\/tr><tr><td>Langue<\/td><td>French<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Physique de la Cha\u00eene de Mesure 2 Signal et bruit<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":302,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_themeisle_gutenberg_block_has_review":false,"footnotes":""},"class_list":["post-622","page","type-page","status-publish","hentry"],"blocksy_meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - 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Ces lasers ultrastables, raccord\u00e9s aux signaux \u00e9mis par l'horloge atomique \u00e0 strontium du NPL (National Physical Laboratory) au Royaume-Uni et par celle du SYRTE (Syst\u00e8me de R\u00e9f\u00e9rence Espace-Temps) \u00e0 Paris, sont transmis par fibres optiques, re\u00e7us et compar\u00e9s au LPL (Laboratoire de Physique des Lasers) \u00e0 Villetaneuse. Cela permet des \u00e9tudes de m\u00e9trologie des fr\u00e9quences et des tests de th\u00e9ories physiques comme la relativit\u00e9 g\u00e9n\u00e9rale. L'horloge \u00e0 strontium du SYRTE sert \u00e9galement de r\u00e9f\u00e9rence locale de fr\u00e9quence au LPL. 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