Module 13: Introduction to Signals and Systems

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    "html": "\n\n<img alt=\"Content Folder\" src=\"/images/ci/sets/set01/folder_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_5740905_1\">\n\n <h3 id=\"anonymous_element_11\">\n  <span class=\"reorder editmode hideme\"><span><img src=\"/images/ci/icons/generic_updown.gif\" alt=\"\"></span></span>\n\n\n            <a href=\"/webapps/blackboard/content/listContent.jsp?course_id=_169707_1&amp;content_id=_5740905_1\"><span style=\"color:#0067ac;\">Lectures &amp; Content</span></a>\n      </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_5740905_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n            Lectures &amp; Content\n      </span>\n</a>\n\n   \n </div>\n\n\n\n<div class=\"details\">\n    <div class=\"vtbegenerated\"> \n <p>Please click the folder link above to access the Module 13 instructional content. Module 13 contains twelve video lectures that present the following topics:</p> \n <ol> \n  <li>Introduction to Z-transform (13A)</li> \n  <li>Poles and Zeros (13B)</li> \n  <li><span style=\"font-size: 10.0pt; font-family: Arial;\">An introduction to the Linear Quadratic Regulator (LQR) (Example 1)</span></li> \n  <li>Inverse of Z-transform (13C)</li> \n  <li><span style=\"font-size: 10.0pt; font-family: Arial;\">The LQR Cost Function </span> (Example 2)</li> \n  <li>Discrete Fourier Transform (13D)</li> \n  <li>Fast Fourier Transform (13E)</li> \n  <li><span style=\"font-size: 10.0pt; font-family: Arial;\">LQR as Least Squares </span> (Example 3)</li> \n  <li><span style=\"font-size: 10.0pt; font-family: Arial;\">Dynamic Programming and LQR </span> (Example 4)</li> \n  <li>Relationships Among Fourier Transforms (13F)</li> \n  <li><span style=\"font-size: 10.0pt; font-family: Arial;\">Steady State and Time-Varying LQR </span> (Example 5)</li> \n  <li>Virtual Potentionals for Feedback (13G)</li> \n </ol> \n</div>\n  </div>\n\n <div id=\"_5740905_1previewModule\" class=\"moduleSample\">\n </div>\n",
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        "title": "Lectures & Content",
        "body": "\n    <div> \n <p>Please click the folder link above to access the Module 13 instructional content. Module 13 contains twelve video lectures that present the following topics:</p> \n <ol> \n  <li>Introduction to Z-transform (13A)</li> \n  <li>Poles and Zeros (13B)</li> \n  <li><span>An introduction to the Linear Quadratic Regulator (LQR) (Example 1)</span></li> \n  <li>Inverse of Z-transform (13C)</li> \n  <li><span>The LQR Cost Function </span> (Example 2)</li> \n  <li>Discrete Fourier Transform (13D)</li> \n  <li>Fast Fourier Transform (13E)</li> \n  <li><span>LQR as Least Squares </span> (Example 3)</li> \n  <li><span>Dynamic Programming and LQR </span> (Example 4)</li> \n  <li>Relationships Among Fourier Transforms (13F)</li> \n  <li><span>Steady State and Time-Varying LQR </span> (Example 5)</li> \n  <li>Virtual Potentionals for Feedback (13G)</li> \n </ol> \n</div>\n  "
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        "html": "\n\n<img alt=\"Item\" src=\"/images/ci/sets/set01/document_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_5740904_1\">\n\n <h3 id=\"anonymous_element_8\">\n  <span class=\"reorder editmode hideme\"><span><img src=\"/images/ci/icons/generic_updown.gif\" alt=\"\"></span></span>\n\n\n\n     <span style=\"color:#0067ac;\">Module at a Glance</span>\n </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_5740904_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n\n     Module at a Glance\n </span>\n</a>\n\n   \n </div>\n\n\n\n<div class=\"details\">\n    <div class=\"vtbegenerated\"> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_9\"><span style=\"font-size: small;\">Objectives</span></h3> \n <p>By the end of this module, you will be able to:</p> \n <ul> \n  <li>Explain the Z-transform and why it is used.</li> \n  <li>Apply the concept of Poles and Zeros to analysis of signals.</li> \n  <li>Define the inverse of a Z-transform.</li> \n  <li>Describe how a continuous and discrete transform are related.</li> \n  <li>Apply FFT to a time-varying signal.</li> \n  <li>Describe how a virtual potential can be used for control.</li> \n  <li>Apply your understanding of transforms to pick the right one for a particular problem.</li> \n  <li>Determine and define a linear quadratic regulator and its connection to control problems.</li> \n </ul> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_10\"><span style=\"font-size: small;\">How to Complete This Module:</span></h3> \n <ol> \n  <li>View lectures 13A-13G and Examples 1-5.</li> \n  <li>Complete the assigned reading to supplement the material presented in the lectures.</li> \n  <li>Participate in the module discussion.</li> \n  <li>Complete and submit the module assignment.</li> \n  <li>Complete the required entry in your personal learning journal.</li> \n </ol> \n</div>\n  </div>\n\n <div id=\"_5740904_1previewModule\" class=\"moduleSample\">\n </div>\n",
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        "body": "\n    <div> \n <h3 id=\"anonymous_element_9\"><span>Objectives</span></h3> \n <p>By the end of this module, you will be able to:</p> \n <ul> \n  <li>Explain the Z-transform and why it is used.</li> \n  <li>Apply the concept of Poles and Zeros to analysis of signals.</li> \n  <li>Define the inverse of a Z-transform.</li> \n  <li>Describe how a continuous and discrete transform are related.</li> \n  <li>Apply FFT to a time-varying signal.</li> \n  <li>Describe how a virtual potential can be used for control.</li> \n  <li>Apply your understanding of transforms to pick the right one for a particular problem.</li> \n  <li>Determine and define a linear quadratic regulator and its connection to control problems.</li> \n </ul> \n <h3 id=\"anonymous_element_10\"><span>How to Complete This Module:</span></h3> \n <ol> \n  <li>View lectures 13A-13G and Examples 1-5.</li> \n  <li>Complete the assigned reading to supplement the material presented in the lectures.</li> \n  <li>Participate in the module discussion.</li> \n  <li>Complete and submit the module assignment.</li> \n  <li>Complete the required entry in your personal learning journal.</li> \n </ol> \n</div>\n  "
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        "html": "\n\n<img alt=\"Tools Area\" src=\"/webapps/ATLS-AresCourseReserves-bb_bb60/images/ares.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_5740906_1\">\n\n <h3 id=\"anonymous_element_12\">\n  <span class=\"reorder editmode hideme\"><span><img src=\"/images/ci/icons/generic_updown.gif\" alt=\"\"></span></span>\n\n\n            <a href=\"/webapps/blackboard/content/launchLink.jsp?course_id=_169707_1&amp;content_id=_5740906_1&amp;mode=view\"><span style=\"color:#0067AC;\">Readings</span></a>\n      </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_5740906_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n            Readings\n      </span>\n</a>\n\n   \n </div>\n\n\n\n<div class=\"details\">\n    <div class=\"vtbegenerated\"> \n <p>This week's reading assignment includes the following:</p> \n <p><strong><span style=\"color: #0067ac;\">Text Books</span> </strong></p> \n <ul> \n  <li>Astrom, J. K. &amp; Murray, R.M. (2008).<em>Feedback systems: An introduction for scientists and engineers</em>. Princeton, NJ: Princeton University Press.<br>Available at: http://www.cds.caltech.edu/~murray/amwiki/index.php/Main_Page \n   <ul style=\"list-style-type: circle;\"> \n    <li>Review: Chapters 1-6</li> \n   </ul> </li> \n  <li>Chaparro, L. (2014). <em>Signals and systems using MATLAB </em>(2nd ed.). Academic Press. \n   <ul style=\"list-style-type: circle;\"> \n    <li>Review: Chapters 9 &amp; 12</li> \n   </ul> </li> \n </ul> \n <p><strong style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px;\"><span style=\"color: #0067ac;\">EReserves</span></strong></p> \n <p>The following supplemental readings are referenced in lecture 13G.</p> \n <ul> \n  <li>Gavrilov, M., Jun, Y. and Bechhoefer, J. (2014.) Real-time calibration of a feedback trap. AIP Review of Scientific Instruments 85:095102 (http://dx.doi.org/10.1063/1.4894383)&nbsp; <span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_51355338_2\"></span></span>\n<a target=\"_blank\" href=\"https://blackboard.jhu.edu/bbcswebdav/pid-5740906-dt-content-rid-51355338_2/xid-51355338_2\">PDF</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.260.81.FA18/real-time_calibration_of_feedback_trap_2014.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00vr&amp;course_id=_169707_1&amp;ctxMenuXythosId=51355338_2&amp;course_id=_169707_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_250e7dcdf1b745be850f5fde3b6f712d,open_with_browser_250e7dcdf1b745be850f5fde3b6f712d,open_with_bbdrive_250e7dcdf1b745be850f5fde3b6f712d,openWebId_250e7dcdf1b745be850f5fde3b6f712d,view360Id_250e7dcdf1b745be850f5fde3b6f712d,*separator*,*separator*,ax-ally-placeholder_250e7dcdf1b745be850f5fde3b6f712d,ax-ally-markForAxAnalysis_250e7dcdf1b745be850f5fde3b6f712d,*separator*,*separator*,content_settings_250e7dcdf1b745be850f5fde3b6f712d,content_editSettings_250e7dcdf1b745be850f5fde3b6f712d,content_edit_250e7dcdf1b745be850f5fde3b6f712d,properties_folder_250e7dcdf1b745be850f5fde3b6f712d,itemcarot_managerecord_250e7dcdf1b745be850f5fde3b6f712d,comments_tool_250e7dcdf1b745be850f5fde3b6f712d,subscriptions_list_250e7dcdf1b745be850f5fde3b6f712d,content_readfile_250e7dcdf1b745be850f5fde3b6f712d,content_overwrite_250e7dcdf1b745be850f5fde3b6f712d,passes_tool_250e7dcdf1b745be850f5fde3b6f712d,permissions_tool_250e7dcdf1b745be850f5fde3b6f712d,content_add_alignment_250e7dcdf1b745be850f5fde3b6f712d,content_tracking_250e7dcdf1b745be850f5fde3b6f712d,content_versions_250e7dcdf1b745be850f5fde3b6f712d,*separator*,*separator*,bookmarkId_250e7dcdf1b745be850f5fde3b6f712d,itemsId_250e7dcdf1b745be850f5fde3b6f712d,packagesId_250e7dcdf1b745be850f5fde3b6f712d,emailId_250e7dcdf1b745be850f5fde3b6f712d,removeContentFolderId_250e7dcdf1b745be850f5fde3b6f712d,*separator*,copyContentId_250e7dcdf1b745be850f5fde3b6f712d,moveContentId_250e7dcdf1b745be850f5fde3b6f712d,*separator*,removeContentId_250e7dcdf1b745be850f5fde3b6f712d,*separator*,Metadata_General_250e7dcdf1b745be850f5fde3b6f712d,Metadata_Dublin_Core_250e7dcdf1b745be850f5fde3b6f712d,Metadata_IMS_250e7dcdf1b745be850f5fde3b6f712d,Metadata_Full_IMS_250e7dcdf1b745be850f5fde3b6f712d,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_250e7dcdf1b745be850f5fde3b6f712d\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_250e7dcdf1b745be850f5fde3b6f712d',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_250e7dcdf1b745be850f5fde3b6f712d',true);\" class=\"cmimg editmode jsInit   cmimg-hide\" href=\"#contextMenu\" title=\"Click for more options\"> <img src=\"/images/ci/icons/cmlink_generic.gif\" alt=\"Click for more options\" onload=\"page.ContextMenu.LI(event, 'cmdiv_250e7dcdf1b745be850f5fde3b6f712d',true);\"></a> \n  </span> \n<input type=\"hidden\" name=\"51355338_2_fileReadWritePermAvl\" id=\"51355338_2_fileReadWritePermAvl\" value=\"false\"> \n<script type=\"text/javascript\" src=\"/javascript/cdn.js\"></script> \n<script type=\"text/javascript\" src=\"/groupjs/FF147D720E72E17F96127A7085584389.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" src=\"/webapps/cmsmain/dirlistrightframe/dirlist.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" src=\"/webapps/cmsmain/static/bbDriveUtil.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\">\n    (function(){\n     var f = function(){\n           if ( window.DWREngine )\n      {\n       if( DWREngine._batch )\n       {\n      \t try {DWREngine.endBatch();} catch(ignore) {}\n       }\n       try {DWREngine.beginBatch();} catch(ignore) {}\n      } \n             page.ContextMenu.hideMenuDiv('250e7dcdf1b745be850f5fde3b6f712d');\n            if ( window.DWREngine )\n      {\n        try {DWREngine.endBatch();} catch(ignore) {}\n      }\n               };\n     var f2 = function()\n     {\n       if ( page.isLoaded )\n       {\n         f();\n       }\n       else\n       {\n         setTimeout( f2, 500 );\n       }\n     }\n     f2();\n    })();\n   </script></li> \n  <li>Jun Y. and Bechhoefer, J. (2012). Virtual potentials for feedback traps. Physical Review E 86:061106 (DOI: 10.1103/PhysRevE.86.061106) <span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_51355340_2\"></span></span>\n<a target=\"_blank\" href=\"https://blackboard.jhu.edu/bbcswebdav/pid-5740906-dt-content-rid-51355340_2/xid-51355340_2\">PDF</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.260.81.FA18/Virtual_Potentials_for_Feedback_traps_2012_PhysRevE.86.061106.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00vt&amp;course_id=_169707_1&amp;ctxMenuXythosId=51355340_2&amp;course_id=_169707_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_16c18b69453e4f27bb7b9a3ba58b71ce,open_with_browser_16c18b69453e4f27bb7b9a3ba58b71ce,open_with_bbdrive_16c18b69453e4f27bb7b9a3ba58b71ce,openWebId_16c18b69453e4f27bb7b9a3ba58b71ce,view360Id_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,*separator*,ax-ally-placeholder_16c18b69453e4f27bb7b9a3ba58b71ce,ax-ally-markForAxAnalysis_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,*separator*,content_settings_16c18b69453e4f27bb7b9a3ba58b71ce,content_editSettings_16c18b69453e4f27bb7b9a3ba58b71ce,content_edit_16c18b69453e4f27bb7b9a3ba58b71ce,properties_folder_16c18b69453e4f27bb7b9a3ba58b71ce,itemcarot_managerecord_16c18b69453e4f27bb7b9a3ba58b71ce,comments_tool_16c18b69453e4f27bb7b9a3ba58b71ce,subscriptions_list_16c18b69453e4f27bb7b9a3ba58b71ce,content_readfile_16c18b69453e4f27bb7b9a3ba58b71ce,content_overwrite_16c18b69453e4f27bb7b9a3ba58b71ce,passes_tool_16c18b69453e4f27bb7b9a3ba58b71ce,permissions_tool_16c18b69453e4f27bb7b9a3ba58b71ce,content_add_alignment_16c18b69453e4f27bb7b9a3ba58b71ce,content_tracking_16c18b69453e4f27bb7b9a3ba58b71ce,content_versions_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,*separator*,bookmarkId_16c18b69453e4f27bb7b9a3ba58b71ce,itemsId_16c18b69453e4f27bb7b9a3ba58b71ce,packagesId_16c18b69453e4f27bb7b9a3ba58b71ce,emailId_16c18b69453e4f27bb7b9a3ba58b71ce,removeContentFolderId_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,copyContentId_16c18b69453e4f27bb7b9a3ba58b71ce,moveContentId_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,removeContentId_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,Metadata_General_16c18b69453e4f27bb7b9a3ba58b71ce,Metadata_Dublin_Core_16c18b69453e4f27bb7b9a3ba58b71ce,Metadata_IMS_16c18b69453e4f27bb7b9a3ba58b71ce,Metadata_Full_IMS_16c18b69453e4f27bb7b9a3ba58b71ce,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_16c18b69453e4f27bb7b9a3ba58b71ce\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_16c18b69453e4f27bb7b9a3ba58b71ce',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_16c18b69453e4f27bb7b9a3ba58b71ce',true);\" class=\"cmimg editmode jsInit   cmimg-hide\" href=\"#contextMenu\" title=\"Click for more options\"> <img src=\"/images/ci/icons/cmlink_generic.gif\" alt=\"Click for more options\" onload=\"page.ContextMenu.LI(event, 'cmdiv_16c18b69453e4f27bb7b9a3ba58b71ce',true);\"></a> \n  </span> \n<input type=\"hidden\" name=\"51355340_2_fileReadWritePermAvl\" id=\"51355340_2_fileReadWritePermAvl\" value=\"false\"> \n<script type=\"text/javascript\" src=\"/javascript/cdn.js\"></script> \n<script type=\"text/javascript\" src=\"/groupjs/FF147D720E72E17F96127A7085584389.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" src=\"/webapps/cmsmain/dirlistrightframe/dirlist.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" src=\"/webapps/cmsmain/static/bbDriveUtil.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\">\n    (function(){\n     var f = function(){\n           if ( window.DWREngine )\n      {\n       if( DWREngine._batch )\n       {\n      \t try {DWREngine.endBatch();} catch(ignore) {}\n       }\n       try {DWREngine.beginBatch();} catch(ignore) {}\n      } \n             page.ContextMenu.hideMenuDiv('16c18b69453e4f27bb7b9a3ba58b71ce');\n            if ( window.DWREngine )\n      {\n        try {DWREngine.endBatch();} catch(ignore) {}\n      }\n               };\n     var f2 = function()\n     {\n       if ( page.isLoaded )\n       {\n         f();\n       }\n       else\n       {\n         setTimeout( f2, 500 );\n       }\n     }\n     f2();\n    })();\n   </script></li> \n </ul> \n</div>\n  </div>\n\n <div id=\"_5740906_1previewModule\" class=\"moduleSample\">\n </div>\n",
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        "title": "Readings"
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K. &amp; Murray, R.M. (2008).<em>Feedback systems: An introduction for scientists and engineers</em>. Princeton, NJ: Princeton University Press.<br>Available at: http://www.cds.caltech.edu/~murray/amwiki/index.php/Main_Page \n   <ul style=\"list-style-type: circle;\"> \n    <li>Review: Chapters 1-6</li> \n   </ul> </li> \n  <li>Chaparro, L. (2014). <em>Signals and systems using MATLAB </em>(2nd ed.). Academic Press. \n   <ul style=\"list-style-type: circle;\"> \n    <li>Review: Chapters 9 &amp; 12</li> \n   </ul> </li> \n </ul> \n <p><strong style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px;\"><span style=\"color: #0067ac;\">EReserves</span></strong></p> \n <p>The following supplemental readings are referenced in lecture 13G.</p> \n <ul> \n  <li>Gavrilov, M., Jun, Y. and Bechhoefer, J. (2014.) Real-time calibration of a feedback trap. AIP Review of Scientific Instruments 85:095102 (http://dx.doi.org/10.1063/1.4894383)&nbsp; <span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_51355338_2\"></span></span>\n<a target=\"_blank\" href=\"https://blackboard.jhu.edu/bbcswebdav/pid-5740906-dt-content-rid-51355338_2/xid-51355338_2\">PDF</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.260.81.FA18/real-time_calibration_of_feedback_trap_2014.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00vr&amp;course_id=_169707_1&amp;ctxMenuXythosId=51355338_2&amp;course_id=_169707_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_250e7dcdf1b745be850f5fde3b6f712d,open_with_browser_250e7dcdf1b745be850f5fde3b6f712d,open_with_bbdrive_250e7dcdf1b745be850f5fde3b6f712d,openWebId_250e7dcdf1b745be850f5fde3b6f712d,view360Id_250e7dcdf1b745be850f5fde3b6f712d,*separator*,*separator*,ax-ally-placeholder_250e7dcdf1b745be850f5fde3b6f712d,ax-ally-markForAxAnalysis_250e7dcdf1b745be850f5fde3b6f712d,*separator*,*separator*,content_settings_250e7dcdf1b745be850f5fde3b6f712d,content_editSettings_250e7dcdf1b745be850f5fde3b6f712d,content_edit_250e7dcdf1b745be850f5fde3b6f712d,properties_folder_250e7dcdf1b745be850f5fde3b6f712d,itemcarot_managerecord_250e7dcdf1b745be850f5fde3b6f712d,comments_tool_250e7dcdf1b745be850f5fde3b6f712d,subscriptions_list_250e7dcdf1b745be850f5fde3b6f712d,content_readfile_250e7dcdf1b745be850f5fde3b6f712d,content_overwrite_250e7dcdf1b745be850f5fde3b6f712d,passes_tool_250e7dcdf1b745be850f5fde3b6f712d,permissions_tool_250e7dcdf1b745be850f5fde3b6f712d,content_add_alignment_250e7dcdf1b745be850f5fde3b6f712d,content_tracking_250e7dcdf1b745be850f5fde3b6f712d,content_versions_250e7dcdf1b745be850f5fde3b6f712d,*separator*,*separator*,bookmarkId_250e7dcdf1b745be850f5fde3b6f712d,itemsId_250e7dcdf1b745be850f5fde3b6f712d,packagesId_250e7dcdf1b745be850f5fde3b6f712d,emailId_250e7dcdf1b745be850f5fde3b6f712d,removeContentFolderId_250e7dcdf1b745be850f5fde3b6f712d,*separator*,copyContentId_250e7dcdf1b745be850f5fde3b6f712d,moveContentId_250e7dcdf1b745be850f5fde3b6f712d,*separator*,removeContentId_250e7dcdf1b745be850f5fde3b6f712d,*separator*,Metadata_General_250e7dcdf1b745be850f5fde3b6f712d,Metadata_Dublin_Core_250e7dcdf1b745be850f5fde3b6f712d,Metadata_IMS_250e7dcdf1b745be850f5fde3b6f712d,Metadata_Full_IMS_250e7dcdf1b745be850f5fde3b6f712d,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_250e7dcdf1b745be850f5fde3b6f712d\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_250e7dcdf1b745be850f5fde3b6f712d',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_250e7dcdf1b745be850f5fde3b6f712d',true);\" class=\"cmimg editmode jsInit   cmimg-hide\" href=\"#contextMenu\" title=\"Click for more options\"> <img src=\"/images/ci/icons/cmlink_generic.gif\" alt=\"Click for more options\" onload=\"page.ContextMenu.LI(event, 'cmdiv_250e7dcdf1b745be850f5fde3b6f712d',true);\"></a> \n  </span> \n<input type=\"hidden\" name=\"51355338_2_fileReadWritePermAvl\" id=\"51355338_2_fileReadWritePermAvl\" value=\"false\"> \n<script type=\"text/javascript\" src=\"/javascript/cdn.js\"></script> \n<script type=\"text/javascript\" src=\"/groupjs/FF147D720E72E17F96127A7085584389.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" src=\"/webapps/cmsmain/dirlistrightframe/dirlist.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" src=\"/webapps/cmsmain/static/bbDriveUtil.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\">\n    (function(){\n     var f = function(){\n           if ( window.DWREngine )\n      {\n       if( DWREngine._batch )\n       {\n      \t try {DWREngine.endBatch();} catch(ignore) {}\n       }\n       try {DWREngine.beginBatch();} catch(ignore) {}\n      } \n             page.ContextMenu.hideMenuDiv('250e7dcdf1b745be850f5fde3b6f712d');\n            if ( window.DWREngine )\n      {\n        try {DWREngine.endBatch();} catch(ignore) {}\n      }\n               };\n     var f2 = function()\n     {\n       if ( page.isLoaded )\n       {\n         f();\n       }\n       else\n       {\n         setTimeout( f2, 500 );\n       }\n     }\n     f2();\n    })();\n   </script></li> \n  <li>Jun Y. and Bechhoefer, J. (2012). Virtual potentials for feedback traps. Physical Review E 86:061106 (DOI: 10.1103/PhysRevE.86.061106) <span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_51355340_2\"></span></span>\n<a target=\"_blank\" href=\"https://blackboard.jhu.edu/bbcswebdav/pid-5740906-dt-content-rid-51355340_2/xid-51355340_2\">PDF</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.260.81.FA18/Virtual_Potentials_for_Feedback_traps_2012_PhysRevE.86.061106.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00vt&amp;course_id=_169707_1&amp;ctxMenuXythosId=51355340_2&amp;course_id=_169707_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_16c18b69453e4f27bb7b9a3ba58b71ce,open_with_browser_16c18b69453e4f27bb7b9a3ba58b71ce,open_with_bbdrive_16c18b69453e4f27bb7b9a3ba58b71ce,openWebId_16c18b69453e4f27bb7b9a3ba58b71ce,view360Id_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,*separator*,ax-ally-placeholder_16c18b69453e4f27bb7b9a3ba58b71ce,ax-ally-markForAxAnalysis_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,*separator*,content_settings_16c18b69453e4f27bb7b9a3ba58b71ce,content_editSettings_16c18b69453e4f27bb7b9a3ba58b71ce,content_edit_16c18b69453e4f27bb7b9a3ba58b71ce,properties_folder_16c18b69453e4f27bb7b9a3ba58b71ce,itemcarot_managerecord_16c18b69453e4f27bb7b9a3ba58b71ce,comments_tool_16c18b69453e4f27bb7b9a3ba58b71ce,subscriptions_list_16c18b69453e4f27bb7b9a3ba58b71ce,content_readfile_16c18b69453e4f27bb7b9a3ba58b71ce,content_overwrite_16c18b69453e4f27bb7b9a3ba58b71ce,passes_tool_16c18b69453e4f27bb7b9a3ba58b71ce,permissions_tool_16c18b69453e4f27bb7b9a3ba58b71ce,content_add_alignment_16c18b69453e4f27bb7b9a3ba58b71ce,content_tracking_16c18b69453e4f27bb7b9a3ba58b71ce,content_versions_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,*separator*,bookmarkId_16c18b69453e4f27bb7b9a3ba58b71ce,itemsId_16c18b69453e4f27bb7b9a3ba58b71ce,packagesId_16c18b69453e4f27bb7b9a3ba58b71ce,emailId_16c18b69453e4f27bb7b9a3ba58b71ce,removeContentFolderId_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,copyContentId_16c18b69453e4f27bb7b9a3ba58b71ce,moveContentId_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,removeContentId_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,Metadata_General_16c18b69453e4f27bb7b9a3ba58b71ce,Metadata_Dublin_Core_16c18b69453e4f27bb7b9a3ba58b71ce,Metadata_IMS_16c18b69453e4f27bb7b9a3ba58b71ce,Metadata_Full_IMS_16c18b69453e4f27bb7b9a3ba58b71ce,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_16c18b69453e4f27bb7b9a3ba58b71ce\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_16c18b69453e4f27bb7b9a3ba58b71ce',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_16c18b69453e4f27bb7b9a3ba58b71ce',true);\" class=\"cmimg editmode jsInit   cmimg-hide\" href=\"#contextMenu\" title=\"Click for more options\"> <img src=\"/images/ci/icons/cmlink_generic.gif\" alt=\"Click for more options\" onload=\"page.ContextMenu.LI(event, 'cmdiv_16c18b69453e4f27bb7b9a3ba58b71ce',true);\"></a> \n  </span> \n<input type=\"hidden\" name=\"51355340_2_fileReadWritePermAvl\" id=\"51355340_2_fileReadWritePermAvl\" value=\"false\"> \n<script type=\"text/javascript\" src=\"/javascript/cdn.js\"></script> \n<script type=\"text/javascript\" src=\"/groupjs/FF147D720E72E17F96127A7085584389.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" src=\"/webapps/cmsmain/dirlistrightframe/dirlist.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" src=\"/webapps/cmsmain/static/bbDriveUtil.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\">\n    (function(){\n     var f = function(){\n           if ( window.DWREngine )\n      {\n       if( DWREngine._batch )\n       {\n      \t try {DWREngine.endBatch();} catch(ignore) {}\n       }\n       try {DWREngine.beginBatch();} catch(ignore) {}\n      } \n             page.ContextMenu.hideMenuDiv('16c18b69453e4f27bb7b9a3ba58b71ce');\n            if ( window.DWREngine )\n      {\n        try {DWREngine.endBatch();} catch(ignore) {}\n      }\n               };\n     var f2 = function()\n     {\n       if ( page.isLoaded )\n       {\n         f();\n       }\n       else\n       {\n         setTimeout( f2, 500 );\n       }\n     }\n     f2();\n    })();\n   </script></li> \n </ul> \n</div>\n  </div>\n\n <div id=\"_5740906_1previewModule\" class=\"moduleSample\">\n </div>\n",
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        "body": "\n    <div> \n <p>This week's reading assignment includes the following:</p> \n <p><strong><span>Text Books</span> </strong></p> \n <ul> \n  <li>Astrom, J. K. &amp; Murray, R.M. (2008).<em>Feedback systems: An introduction for scientists and engineers</em>. Princeton, NJ: Princeton University Press.Available at: http://www.cds.caltech.edu/~murray/amwiki/index.php/Main_Page \n   <ul> \n    <li>Review: Chapters 1-6</li> \n   </ul> </li> \n  <li>Chaparro, L. (2014). <em>Signals and systems using MATLAB </em>(2nd ed.). Academic Press. \n   <ul> \n    <li>Review: Chapters 9 &amp; 12</li> \n   </ul> </li> \n </ul> \n <p><strong><span>EReserves</span></strong></p> \n <p>The following supplemental readings are referenced in lecture 13G.</p> \n <ul> \n  <li>Gavrilov, M., Jun, Y. and Bechhoefer, J. (2014.) Real-time calibration of a feedback trap. AIP Review of Scientific Instruments 85:095102 (http://dx.doi.org/10.1063/1.4894383)&nbsp; \n<a target=\"_blank\" href=\"https://blackboard.jhu.edu/bbcswebdav/pid-5740906-dt-content-rid-51355338_2/xid-51355338_2\">PDF</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.260.81.FA18/real-time_calibration_of_feedback_trap_2014.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00vr&amp;course_id=_169707_1&amp;ctxMenuXythosId=51355338_2&amp;course_id=_169707_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_250e7dcdf1b745be850f5fde3b6f712d,open_with_browser_250e7dcdf1b745be850f5fde3b6f712d,open_with_bbdrive_250e7dcdf1b745be850f5fde3b6f712d,openWebId_250e7dcdf1b745be850f5fde3b6f712d,view360Id_250e7dcdf1b745be850f5fde3b6f712d,*separator*,*separator*,ax-ally-placeholder_250e7dcdf1b745be850f5fde3b6f712d,ax-ally-markForAxAnalysis_250e7dcdf1b745be850f5fde3b6f712d,*separator*,*separator*,content_settings_250e7dcdf1b745be850f5fde3b6f712d,content_editSettings_250e7dcdf1b745be850f5fde3b6f712d,content_edit_250e7dcdf1b745be850f5fde3b6f712d,properties_folder_250e7dcdf1b745be850f5fde3b6f712d,itemcarot_managerecord_250e7dcdf1b745be850f5fde3b6f712d,comments_tool_250e7dcdf1b745be850f5fde3b6f712d,subscriptions_list_250e7dcdf1b745be850f5fde3b6f712d,content_readfile_250e7dcdf1b745be850f5fde3b6f712d,content_overwrite_250e7dcdf1b745be850f5fde3b6f712d,passes_tool_250e7dcdf1b745be850f5fde3b6f712d,permissions_tool_250e7dcdf1b745be850f5fde3b6f712d,content_add_alignment_250e7dcdf1b745be850f5fde3b6f712d,content_tracking_250e7dcdf1b745be850f5fde3b6f712d,content_versions_250e7dcdf1b745be850f5fde3b6f712d,*separator*,*separator*,bookmarkId_250e7dcdf1b745be850f5fde3b6f712d,itemsId_250e7dcdf1b745be850f5fde3b6f712d,packagesId_250e7dcdf1b745be850f5fde3b6f712d,emailId_250e7dcdf1b745be850f5fde3b6f712d,removeContentFolderId_250e7dcdf1b745be850f5fde3b6f712d,*separator*,copyContentId_250e7dcdf1b745be850f5fde3b6f712d,moveContentId_250e7dcdf1b745be850f5fde3b6f712d,*separator*,removeContentId_250e7dcdf1b745be850f5fde3b6f712d,*separator*,Metadata_General_250e7dcdf1b745be850f5fde3b6f712d,Metadata_Dublin_Core_250e7dcdf1b745be850f5fde3b6f712d,Metadata_IMS_250e7dcdf1b745be850f5fde3b6f712d,Metadata_Full_IMS_250e7dcdf1b745be850f5fde3b6f712d,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_250e7dcdf1b745be850f5fde3b6f712d\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_250e7dcdf1b745be850f5fde3b6f712d',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_250e7dcdf1b745be850f5fde3b6f712d',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n  </span> \n \n \n \n \n \n</li> \n  <li>Jun Y. and Bechhoefer, J. (2012). Virtual potentials for feedback traps. Physical Review E 86:061106 (DOI: 10.1103/PhysRevE.86.061106) \n<a target=\"_blank\" href=\"https://blackboard.jhu.edu/bbcswebdav/pid-5740906-dt-content-rid-51355340_2/xid-51355340_2\">PDF</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.260.81.FA18/Virtual_Potentials_for_Feedback_traps_2012_PhysRevE.86.061106.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00vt&amp;course_id=_169707_1&amp;ctxMenuXythosId=51355340_2&amp;course_id=_169707_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_16c18b69453e4f27bb7b9a3ba58b71ce,open_with_browser_16c18b69453e4f27bb7b9a3ba58b71ce,open_with_bbdrive_16c18b69453e4f27bb7b9a3ba58b71ce,openWebId_16c18b69453e4f27bb7b9a3ba58b71ce,view360Id_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,*separator*,ax-ally-placeholder_16c18b69453e4f27bb7b9a3ba58b71ce,ax-ally-markForAxAnalysis_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,*separator*,content_settings_16c18b69453e4f27bb7b9a3ba58b71ce,content_editSettings_16c18b69453e4f27bb7b9a3ba58b71ce,content_edit_16c18b69453e4f27bb7b9a3ba58b71ce,properties_folder_16c18b69453e4f27bb7b9a3ba58b71ce,itemcarot_managerecord_16c18b69453e4f27bb7b9a3ba58b71ce,comments_tool_16c18b69453e4f27bb7b9a3ba58b71ce,subscriptions_list_16c18b69453e4f27bb7b9a3ba58b71ce,content_readfile_16c18b69453e4f27bb7b9a3ba58b71ce,content_overwrite_16c18b69453e4f27bb7b9a3ba58b71ce,passes_tool_16c18b69453e4f27bb7b9a3ba58b71ce,permissions_tool_16c18b69453e4f27bb7b9a3ba58b71ce,content_add_alignment_16c18b69453e4f27bb7b9a3ba58b71ce,content_tracking_16c18b69453e4f27bb7b9a3ba58b71ce,content_versions_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,*separator*,bookmarkId_16c18b69453e4f27bb7b9a3ba58b71ce,itemsId_16c18b69453e4f27bb7b9a3ba58b71ce,packagesId_16c18b69453e4f27bb7b9a3ba58b71ce,emailId_16c18b69453e4f27bb7b9a3ba58b71ce,removeContentFolderId_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,copyContentId_16c18b69453e4f27bb7b9a3ba58b71ce,moveContentId_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,removeContentId_16c18b69453e4f27bb7b9a3ba58b71ce,*separator*,Metadata_General_16c18b69453e4f27bb7b9a3ba58b71ce,Metadata_Dublin_Core_16c18b69453e4f27bb7b9a3ba58b71ce,Metadata_IMS_16c18b69453e4f27bb7b9a3ba58b71ce,Metadata_Full_IMS_16c18b69453e4f27bb7b9a3ba58b71ce,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_16c18b69453e4f27bb7b9a3ba58b71ce\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_16c18b69453e4f27bb7b9a3ba58b71ce',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_16c18b69453e4f27bb7b9a3ba58b71ce',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n  </span> \n \n \n \n \n \n</li> \n </ul> \n</div>\n  "
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        "html": "\n\n<img alt=\"Discussion Board\" src=\"/images/ci/sets/set01/discussion_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_5740907_1\">\n\n <h3 id=\"anonymous_element_13\">\n  <span class=\"reorder editmode hideme\"><span><img src=\"/images/ci/icons/generic_updown.gif\" alt=\"\"></span></span>\n\n\n            <a href=\"/webapps/blackboard/content/launchLink.jsp?course_id=_169707_1&amp;content_id=_5740907_1&amp;mode=view\"><span style=\"color:#0067ac;\">Module 13 Discussion</span></a>\n      </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_5740907_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n            Module 13 Discussion\n      </span>\n</a>\n\n   \n </div>\n\n\n\n<div class=\"details\">\n    <div class=\"vtbegenerated\"> \n <p style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\"><strong style=\"font-size: 13px;\"><strong style=\"font-size: 13px;\"><strong style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px;\">Discussion forum rubric:&nbsp;<span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_51355346_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-5740907-dt-content-rid-51355346_2/xid-51355346_2\" target=\"_blank\" style=\"font-size: 13px;\">625.260 Discusssion Rubric</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.260.81.FA18/Module%201/Discussion_Rubric.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00vv&amp;course_id=_169707_1&amp;ctxMenuXythosId=51355346_2&amp;course_id=_169707_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_11c61f764e114410996a564811df5a22,open_with_browser_11c61f764e114410996a564811df5a22,open_with_bbdrive_11c61f764e114410996a564811df5a22,openWebId_11c61f764e114410996a564811df5a22,view360Id_11c61f764e114410996a564811df5a22,*separator*,*separator*,ax-ally-placeholder_11c61f764e114410996a564811df5a22,ax-ally-markForAxAnalysis_11c61f764e114410996a564811df5a22,*separator*,*separator*,content_settings_11c61f764e114410996a564811df5a22,content_editSettings_11c61f764e114410996a564811df5a22,content_edit_11c61f764e114410996a564811df5a22,properties_folder_11c61f764e114410996a564811df5a22,itemcarot_managerecord_11c61f764e114410996a564811df5a22,comments_tool_11c61f764e114410996a564811df5a22,subscriptions_list_11c61f764e114410996a564811df5a22,content_readfile_11c61f764e114410996a564811df5a22,content_overwrite_11c61f764e114410996a564811df5a22,passes_tool_11c61f764e114410996a564811df5a22,permissions_tool_11c61f764e114410996a564811df5a22,content_add_alignment_11c61f764e114410996a564811df5a22,content_tracking_11c61f764e114410996a564811df5a22,content_versions_11c61f764e114410996a564811df5a22,*separator*,*separator*,bookmarkId_11c61f764e114410996a564811df5a22,itemsId_11c61f764e114410996a564811df5a22,packagesId_11c61f764e114410996a564811df5a22,emailId_11c61f764e114410996a564811df5a22,removeContentFolderId_11c61f764e114410996a564811df5a22,*separator*,copyContentId_11c61f764e114410996a564811df5a22,moveContentId_11c61f764e114410996a564811df5a22,*separator*,removeContentId_11c61f764e114410996a564811df5a22,*separator*,Metadata_General_11c61f764e114410996a564811df5a22,Metadata_Dublin_Core_11c61f764e114410996a564811df5a22,Metadata_IMS_11c61f764e114410996a564811df5a22,Metadata_Full_IMS_11c61f764e114410996a564811df5a22,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_11c61f764e114410996a564811df5a22\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_11c61f764e114410996a564811df5a22',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_11c61f764e114410996a564811df5a22',true);\" class=\"cmimg editmode jsInit   cmimg-hide\" href=\"#contextMenu\" title=\"Click for more options\"> <img src=\"/images/ci/icons/cmlink_generic.gif\" alt=\"Click for more options\" onload=\"page.ContextMenu.LI(event, 'cmdiv_11c61f764e114410996a564811df5a22',true);\"></a> \n </span></strong></strong></strong></p><strong style=\"font-size: 13px;\"><strong style=\"font-size: 13px;\"><strong style=\"font-style: normal; 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Be energetic in your participation, posting discussion responses assigned in each module, interacting with other students and your instructor, in your responses and postings.</p> \n <p>Check the rubric above to ensure you understand the expectations and how you will be assessed on these important assignments.&nbsp;</p> \n <p>There is one discussion thread in this module. Submit your posts by clicking on the \"Module 13 Discussion\" link above and creating a new thread. Please contribute to the class discussion with your discussion about:</p> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_15\">Question:</h3> \n <p style=\"margin-left: 30px;\"><strong style=\"font-size: 13px;\">Thread 13.1</strong></p> \n <ul> \n  <li>Give an example (ask or search if you don’t think of one) where a virtual feedback trap could help you solve a problem that you find interesting.</li> \n  <li>Have you used a Z-transform and/or FFT before? How might you use one of these now that you know more about them?</li> \n  <li>Describe a system where feedback optimization for control could be utilized. This can relate back to examples we’ve already covered or be new ones. This question is setting up as well for next week where we move into Kalman filters, so you can start to search for control with Kalman filters as well.</li> \n </ul> \n <p>For responses to classmates' posts, please realize that just posting ‘I agree’ or ‘I disagree’ is not sufficient.</p> \n <p>Don’t be afraid to share your insights and discoveries. This is how we will build a community around the course.</p> \n <p>You are asked not only to create an original post, but also to thoughtfully respond to at least two of your peers for full credit. Your initial posts are due by midnight on Day 4 of this module. Responses to your peers are due by midnight on Day 7 of this module.</p> \n <p style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\"><span style=\"text-decoration: underline;\">Required Activity</span>: 1 Original Post / 2 Responses<br> <span style=\"text-decoration: underline;\">Due by</span>: Original Post 11:59PM Day 4, Responses 11:59PM Day 7</p> \n</div>\n  </div>\n\n <div id=\"_5740907_1previewModule\" class=\"moduleSample\">\n </div>\n",
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font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px;\">  \n<input type=\"hidden\" name=\"51355346_2_fileReadWritePermAvl\" id=\"51355346_2_fileReadWritePermAvl\" value=\"false\"> \n<script type=\"text/javascript\" src=\"/javascript/cdn.js\"></script> \n<script type=\"text/javascript\" src=\"/groupjs/FF147D720E72E17F96127A7085584389.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" src=\"/webapps/cmsmain/dirlistrightframe/dirlist.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" src=\"/webapps/cmsmain/static/bbDriveUtil.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\">\n    (function(){\n     var f = function(){\n           if ( window.DWREngine )\n      {\n       if( DWREngine._batch )\n       {\n      \t try {DWREngine.endBatch();} catch(ignore) {}\n       }\n       try {DWREngine.beginBatch();} catch(ignore) {}\n      } \n             page.ContextMenu.hideMenuDiv('11c61f764e114410996a564811df5a22');\n            if ( window.DWREngine )\n      {\n        try {DWREngine.endBatch();} catch(ignore) {}\n      }\n               };\n     var f2 = function()\n     {\n       if ( page.isLoaded )\n       {\n         f();\n       }\n       else\n       {\n         setTimeout( f2, 500 );\n       }\n     }\n     f2();\n    })();\n   </script></strong></strong></strong><p></p> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_14\">Participation Guidelines</h3> \n <p>Participation in class discussions are important in this course and to your final grade. Be energetic in your participation, posting discussion responses assigned in each module, interacting with other students and your instructor, in your responses and postings.</p> \n <p>Check the rubric above to ensure you understand the expectations and how you will be assessed on these important assignments.&nbsp;</p> \n <p>There is one discussion thread in this module. Submit your posts by clicking on the \"Module 13 Discussion\" link above and creating a new thread. Please contribute to the class discussion with your discussion about:</p> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_15\">Question:</h3> \n <p style=\"margin-left: 30px;\"><strong style=\"font-size: 13px;\">Thread 13.1</strong></p> \n <ul> \n  <li>Give an example (ask or search if you don’t think of one) where a virtual feedback trap could help you solve a problem that you find interesting.</li> \n  <li>Have you used a Z-transform and/or FFT before? How might you use one of these now that you know more about them?</li> \n  <li>Describe a system where feedback optimization for control could be utilized. This can relate back to examples we’ve already covered or be new ones. This question is setting up as well for next week where we move into Kalman filters, so you can start to search for control with Kalman filters as well.</li> \n </ul> \n <p>For responses to classmates' posts, please realize that just posting ‘I agree’ or ‘I disagree’ is not sufficient.</p> \n <p>Don’t be afraid to share your insights and discoveries. This is how we will build a community around the course.</p> \n <p>You are asked not only to create an original post, but also to thoughtfully respond to at least two of your peers for full credit. Your initial posts are due by midnight on Day 4 of this module. 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</li></ul></div></div>\n\n    <div class=\"vtbegenerated\"> \n <p>Please download the attachment to view Quiz 4, which consists of two problems that you should work through and submit.</p> \n <p>***<strong>Please note that this is a timed assessment and that you should<span style=\"text-decoration: underline;\"> submit the quiz within 3 hours of accessing the quiz file attachment</span>.***</strong></p> \n <p>Follow the general guidelines below to complete and submit the quiz.</p> \n <ul> \n  <li>Problems should be done neatly on paper and scanned or completed electronically using markup on a tablet device.</li> \n  <li>At the top of the page, include your name, module number, and page number (page 1 of 2, etc.)</li> \n  <li>Submit your answers in PDF (.pdf) format by uploading to Blackboard using the \"Quiz 4\" link above.</li> \n </ul> \n <p><span style=\"text-decoration: underline;\">Required Activity</span>: Submit answers to Quiz 4<br> <span style=\"text-decoration: underline;\">Due by</span>: 11:59 PM Day 7</p> \n <br> \n</div>\n  </div>\n\n <div id=\"_5740908_1previewModule\" class=\"moduleSample\">\n </div>\n",
        "url": "https://blackboard.jhu.edu/webapps/assignment/uploadAssignment?content_id=_5740908_1&course_id=_169707_1&group_id=&mode=view",
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</li></ul></div></div>\n\n    <div class=\"vtbegenerated\"> \n <p>Please download the attachment to view Quiz 4, which consists of two problems that you should work through and submit.</p> \n <p>***<strong>Please note that this is a timed assessment and that you should<span style=\"text-decoration: underline;\"> submit the quiz within 3 hours of accessing the quiz file attachment</span>.***</strong></p> \n <p>Follow the general guidelines below to complete and submit the quiz.</p> \n <ul> \n  <li>Problems should be done neatly on paper and scanned or completed electronically using markup on a tablet device.</li> \n  <li>At the top of the page, include your name, module number, and page number (page 1 of 2, etc.)</li> \n  <li>Submit your answers in PDF (.pdf) format by uploading to Blackboard using the \"Quiz 4\" link above.</li> \n </ul> \n <p><span style=\"text-decoration: underline;\">Required Activity</span>: Submit answers to Quiz 4<br> <span style=\"text-decoration: underline;\">Due by</span>: 11:59 PM Day 7</p> \n <br> \n</div>\n  </div>\n\n <div id=\"_5740908_1previewModule\" class=\"moduleSample\">\n </div>\n",
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{
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        "title": "Module 13 Assignment"
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        "html": "\n\n<img alt=\"Journals\" src=\"/images/ci/sets/set01/journal_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_5740910_1\">\n\n <h3 id=\"anonymous_element_18\">\n  <span class=\"reorder editmode hideme\"><span><img src=\"/images/ci/icons/generic_updown.gif\" alt=\"\"></span></span>\n\n\n            <a href=\"/webapps/blackboard/content/launchLink.jsp?course_id=_169707_1&amp;content_id=_5740910_1&amp;mode=view\"><span style=\"color:#0067ac;\">Module 13 Personal Learning Journal</span></a>\n      </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_5740910_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n            Module 13 Personal Learning Journal\n      </span>\n</a>\n\n   \n </div>\n\n\n\n<div class=\"details\">\n    <div class=\"vtbegenerated\"> \n <p>In your learning journal entries for this week comment about:</p> \n <ul> \n  <li>How would you explain the relationships between the different transforms that we’ve working with in this course? Can you rationalize how and when to choose one versus another? Explain why you might have/or did use a particular transform for your project.</li> \n  <li>Describe the Z-transform and its possible application to your project idea (or if it’s not applicable, pick a transform that you’ve not used and discuss what might be good about its use for your project).</li> \n </ul> \n <p>Click on the “Module 13 Personal Learning Journal” above to access your journal and create your entry.</p> \n <p><span style=\"text-decoration: underline;\">Required Activity</span>: Create a reflective personal journal entry post in response to the prompts given.&nbsp;<br><span style=\"text-decoration: underline;\">Due by</span>: 11:59 PM Day 7</p> \n</div> \n<br>\n  </div>\n\n <div id=\"_5740910_1previewModule\" class=\"moduleSample\">\n </div>\n",
        "url": "https://blackboard.jhu.edu/webapps/blackboard/content/launchLink.jsp?course_id=_169707_1&content_id=_5740910_1&mode=view",
        "title": "Module 13 Personal Learning Journal"
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    "html": "\n\n<img alt=\"Journals\" src=\"/images/ci/sets/set01/journal_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_5740910_1\">\n\n <h3 id=\"anonymous_element_18\">\n  <span class=\"reorder editmode hideme\"><span><img src=\"/images/ci/icons/generic_updown.gif\" alt=\"\"></span></span>\n\n\n            <a href=\"/webapps/blackboard/content/launchLink.jsp?course_id=_169707_1&amp;content_id=_5740910_1&amp;mode=view\"><span style=\"color:#0067ac;\">Module 13 Personal Learning Journal</span></a>\n      </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_5740910_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n            Module 13 Personal Learning Journal\n      </span>\n</a>\n\n   \n </div>\n\n\n\n<div class=\"details\">\n    <div class=\"vtbegenerated\"> \n <p>In your learning journal entries for this week comment about:</p> \n <ul> \n  <li>How would you explain the relationships between the different transforms that we’ve working with in this course? Can you rationalize how and when to choose one versus another? Explain why you might have/or did use a particular transform for your project.</li> \n  <li>Describe the Z-transform and its possible application to your project idea (or if it’s not applicable, pick a transform that you’ve not used and discuss what might be good about its use for your project).</li> \n </ul> \n <p>Click on the “Module 13 Personal Learning Journal” above to access your journal and create your entry.</p> \n <p><span style=\"text-decoration: underline;\">Required Activity</span>: Create a reflective personal journal entry post in response to the prompts given.&nbsp;<br><span style=\"text-decoration: underline;\">Due by</span>: 11:59 PM Day 7</p> \n</div> \n<br>\n  </div>\n\n <div id=\"_5740910_1previewModule\" class=\"moduleSample\">\n </div>\n",
    "url": "https://blackboard.jhu.edu/webapps/blackboard/content/launchLink.jsp?course_id=_169707_1&content_id=_5740910_1&mode=view",
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        "title": "Module 13 Personal Learning Journal",
        "body": "\n    <div> \n <p>In your learning journal entries for this week comment about:</p> \n <ul> \n  <li>How would you explain the relationships between the different transforms that we’ve working with in this course? Can you rationalize how and when to choose one versus another? Explain why you might have/or did use a particular transform for your project.</li> \n  <li>Describe the Z-transform and its possible application to your project idea (or if it’s not applicable, pick a transform that you’ve not used and discuss what might be good about its use for your project).</li> \n </ul> \n <p>Click on the “Module 13 Personal Learning Journal” above to access your journal and create your entry.</p> \n <p><span>Required Activity</span>: Create a reflective personal journal entry post in response to the prompts given.&nbsp;<span>Due by</span>: 11:59 PM Day 7</p> \n</div> \n\n  "
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