Module 8: Signal Processing

Module at a Glance ObjectivesHow to Complete This Module:

Cell description

Objectives

By the end of this module, you will be able to:

  • Apply complex analysis to continuous-time and discrete-time signal processing via Laplace and z-transforms, respectively.
  • Utilize Laplace and z-transforms to study Fourier transforms, and conversely.
  • Develop state-space models for continuous-time and discrete-time dynamical systems,
  • Utilize rational functions to study the behavior of state-space models.

How to Complete This Module:

  1. View the video lectures in sequence. As you go through the videos, participate in the class discussion group.
  2. Read the Assignment 8 problems. Note that the problem labelled in boldface (on decimations) extends some of the concepts discussed in the lectures.
  3. Read the instructions for Mini-Project 1. The Mini-Project covers the content in both Modules 8 and 9.
  4. Read the Lecture Notes that accompany the module. As you read the notes, identify points that will help you do the problems and the Mini-Project.
  5. Complete Assignment 8. As you work on the problems:
    • Participate in the class discussions.
    • Refer to the notes or review certain videos as necessary.
    • You may find that you need to review some topics covered in prior modules (e.g., residue methods). It is important to pose questions to the instructor who can guide you through a review process if it is necessary.
  6. Start work on Mini-Project 1. Recognize those parts that can be completed using the material from this module (not the next one) and post any questions you may have to Piazza.
Technical 
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Readings

Cell description
  • Module 8 Lecture Notes (PDF) : Read the Lecture Notes at least once through. Some of the more technical points regarding proofs may be a bit challenging, but the experience gained in reading through those sections at least once is worthwhile.
  • There is no single external source to supplement the notes. You should contact the instructor if there is a particular topic you would like to see in another source, whether for now or after the course ends. In any case, your time is most productively spent on going through the given notes and videos, working on the problems and Mini-Project, and discussing the material with other students and the instructor in Piazza.
Technical 
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Some of the more technical points regarding proofs may be a bit challenging, but the experience gained in reading through those sections at least once is worthwhile.<br><br></li> \n  <li>There is no single external source to supplement the notes. You should contact the instructor if there is a particular topic you would like to see in another source, whether for now or after the course ends. In any case, your time is most productively spent on going through the given notes and videos, working on the problems and Mini-Project, and discussing the material with other students and the instructor in Piazza.</li> \n </ul> \n</div>\n  </div>\n\n <div id=\"_8341830_1previewModule\" class=\"moduleSample\">\n </div>\n",
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Some of the more technical points regarding proofs may be a bit challenging, but the experience gained in reading through those sections at least once is worthwhile.<br><br></li> \n  <li>There is no single external source to supplement the notes. You should contact the instructor if there is a particular topic you would like to see in another source, whether for now or after the course ends. In any case, your time is most productively spent on going through the given notes and videos, working on the problems and Mini-Project, and discussing the material with other students and the instructor in Piazza.</li> \n </ul> \n</div>\n  </div>\n\n <div id=\"_8341830_1previewModule\" class=\"moduleSample\">\n </div>\n",
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Video Lectures

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bb:menuorder=\"openId_87084a2173da411dab586eefb90f1245,open_with_browser_87084a2173da411dab586eefb90f1245,open_with_bbdrive_87084a2173da411dab586eefb90f1245,openWebId_87084a2173da411dab586eefb90f1245,view360Id_87084a2173da411dab586eefb90f1245,*separator*,*separator*,ax-ally-placeholder_87084a2173da411dab586eefb90f1245,ax-ally-markForAxAnalysis_87084a2173da411dab586eefb90f1245,*separator*,*separator*,content_settings_87084a2173da411dab586eefb90f1245,content_editSettings_87084a2173da411dab586eefb90f1245,content_edit_87084a2173da411dab586eefb90f1245,properties_folder_87084a2173da411dab586eefb90f1245,itemcarot_managerecord_87084a2173da411dab586eefb90f1245,comments_tool_87084a2173da411dab586eefb90f1245,subscriptions_list_87084a2173da411dab586eefb90f1245,content_readfile_87084a2173da411dab586eefb90f1245,content_overwrite_87084a2173da411dab586eefb90f1245,passes_tool_87084a2173da411dab586eefb90f1245,permissions_tool_87084a2173da411dab586eefb90f1245,content_add_alignment_87084a2173da411dab586eefb90f1245,content_tracking_87084a2173da411dab586eefb90f1245,content_versions_87084a2173da411dab586eefb90f1245,*separator*,*separator*,bookmarkId_87084a2173da411dab586eefb90f1245,itemsId_87084a2173da411dab586eefb90f1245,packagesId_87084a2173da411dab586eefb90f1245,emailId_87084a2173da411dab586eefb90f1245,removeContentFolderId_87084a2173da411dab586eefb90f1245,*separator*,copyContentId_87084a2173da411dab586eefb90f1245,moveContentId_87084a2173da411dab586eefb90f1245,*separator*,removeContentId_87084a2173da411dab586eefb90f1245,*separator*,Metadata_General_87084a2173da411dab586eefb90f1245,Metadata_Dublin_Core_87084a2173da411dab586eefb90f1245,Metadata_IMS_87084a2173da411dab586eefb90f1245,Metadata_Full_IMS_87084a2173da411dab586eefb90f1245,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_87084a2173da411dab586eefb90f1245\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_87084a2173da411dab586eefb90f1245',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_87084a2173da411dab586eefb90f1245',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_87084a2173da411dab586eefb90f1245',true);\"></a> \n </span></p>  \n<input type=\"hidden\" name=\"91998559_2_fileReadWritePermAvl\" id=\"91998559_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('87084a2173da411dab586eefb90f1245');\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><p></p> \n <p><span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_91998560_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8341831-dt-content-rid-91998560_2/xid-91998560_2\" target=\"_blank\" rel=\"noreferrer noopener\">08E_Slides</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module08/08E_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00jr&amp;course_id=_207703_1&amp;ctxMenuXythosId=91998560_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_f00c03ef34cb43b0a2dbba765a343de7,open_with_browser_f00c03ef34cb43b0a2dbba765a343de7,open_with_bbdrive_f00c03ef34cb43b0a2dbba765a343de7,openWebId_f00c03ef34cb43b0a2dbba765a343de7,view360Id_f00c03ef34cb43b0a2dbba765a343de7,*separator*,*separator*,ax-ally-placeholder_f00c03ef34cb43b0a2dbba765a343de7,ax-ally-markForAxAnalysis_f00c03ef34cb43b0a2dbba765a343de7,*separator*,*separator*,content_settings_f00c03ef34cb43b0a2dbba765a343de7,content_editSettings_f00c03ef34cb43b0a2dbba765a343de7,content_edit_f00c03ef34cb43b0a2dbba765a343de7,properties_folder_f00c03ef34cb43b0a2dbba765a343de7,itemcarot_managerecord_f00c03ef34cb43b0a2dbba765a343de7,comments_tool_f00c03ef34cb43b0a2dbba765a343de7,subscriptions_list_f00c03ef34cb43b0a2dbba765a343de7,content_readfile_f00c03ef34cb43b0a2dbba765a343de7,content_overwrite_f00c03ef34cb43b0a2dbba765a343de7,passes_tool_f00c03ef34cb43b0a2dbba765a343de7,permissions_tool_f00c03ef34cb43b0a2dbba765a343de7,content_add_alignment_f00c03ef34cb43b0a2dbba765a343de7,content_tracking_f00c03ef34cb43b0a2dbba765a343de7,content_versions_f00c03ef34cb43b0a2dbba765a343de7,*separator*,*separator*,bookmarkId_f00c03ef34cb43b0a2dbba765a343de7,itemsId_f00c03ef34cb43b0a2dbba765a343de7,packagesId_f00c03ef34cb43b0a2dbba765a343de7,emailId_f00c03ef34cb43b0a2dbba765a343de7,removeContentFolderId_f00c03ef34cb43b0a2dbba765a343de7,*separator*,copyContentId_f00c03ef34cb43b0a2dbba765a343de7,moveContentId_f00c03ef34cb43b0a2dbba765a343de7,*separator*,removeContentId_f00c03ef34cb43b0a2dbba765a343de7,*separator*,Metadata_General_f00c03ef34cb43b0a2dbba765a343de7,Metadata_Dublin_Core_f00c03ef34cb43b0a2dbba765a343de7,Metadata_IMS_f00c03ef34cb43b0a2dbba765a343de7,Metadata_Full_IMS_f00c03ef34cb43b0a2dbba765a343de7,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_f00c03ef34cb43b0a2dbba765a343de7\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_f00c03ef34cb43b0a2dbba765a343de7',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_f00c03ef34cb43b0a2dbba765a343de7',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_f00c03ef34cb43b0a2dbba765a343de7',true);\"></a> \n </span></p>  \n<input type=\"hidden\" name=\"91998560_2_fileReadWritePermAvl\" id=\"91998560_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('f00c03ef34cb43b0a2dbba765a343de7');\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><p></p> \n <p><span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_91998561_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8341831-dt-content-rid-91998561_2/xid-91998561_2\" target=\"_blank\" rel=\"noreferrer noopener\">08F_Slides</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module08/08F_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00jt&amp;course_id=_207703_1&amp;ctxMenuXythosId=91998561_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_82a4f29775a340b58524fdeda82ec206,open_with_browser_82a4f29775a340b58524fdeda82ec206,open_with_bbdrive_82a4f29775a340b58524fdeda82ec206,openWebId_82a4f29775a340b58524fdeda82ec206,view360Id_82a4f29775a340b58524fdeda82ec206,*separator*,*separator*,ax-ally-placeholder_82a4f29775a340b58524fdeda82ec206,ax-ally-markForAxAnalysis_82a4f29775a340b58524fdeda82ec206,*separator*,*separator*,content_settings_82a4f29775a340b58524fdeda82ec206,content_editSettings_82a4f29775a340b58524fdeda82ec206,content_edit_82a4f29775a340b58524fdeda82ec206,properties_folder_82a4f29775a340b58524fdeda82ec206,itemcarot_managerecord_82a4f29775a340b58524fdeda82ec206,comments_tool_82a4f29775a340b58524fdeda82ec206,subscriptions_list_82a4f29775a340b58524fdeda82ec206,content_readfile_82a4f29775a340b58524fdeda82ec206,content_overwrite_82a4f29775a340b58524fdeda82ec206,passes_tool_82a4f29775a340b58524fdeda82ec206,permissions_tool_82a4f29775a340b58524fdeda82ec206,content_add_alignment_82a4f29775a340b58524fdeda82ec206,content_tracking_82a4f29775a340b58524fdeda82ec206,content_versions_82a4f29775a340b58524fdeda82ec206,*separator*,*separator*,bookmarkId_82a4f29775a340b58524fdeda82ec206,itemsId_82a4f29775a340b58524fdeda82ec206,packagesId_82a4f29775a340b58524fdeda82ec206,emailId_82a4f29775a340b58524fdeda82ec206,removeContentFolderId_82a4f29775a340b58524fdeda82ec206,*separator*,copyContentId_82a4f29775a340b58524fdeda82ec206,moveContentId_82a4f29775a340b58524fdeda82ec206,*separator*,removeContentId_82a4f29775a340b58524fdeda82ec206,*separator*,Metadata_General_82a4f29775a340b58524fdeda82ec206,Metadata_Dublin_Core_82a4f29775a340b58524fdeda82ec206,Metadata_IMS_82a4f29775a340b58524fdeda82ec206,Metadata_Full_IMS_82a4f29775a340b58524fdeda82ec206,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_82a4f29775a340b58524fdeda82ec206\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_82a4f29775a340b58524fdeda82ec206',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_82a4f29775a340b58524fdeda82ec206',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_82a4f29775a340b58524fdeda82ec206',true);\"></a> \n </span></p>  \n<input type=\"hidden\" name=\"91998561_2_fileReadWritePermAvl\" id=\"91998561_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('82a4f29775a340b58524fdeda82ec206');\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><p></p> \n <p><span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_91998562_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8341831-dt-content-rid-91998562_2/xid-91998562_2\" target=\"_blank\" rel=\"noreferrer noopener\">08G_Slides</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module08/08G_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00jv&amp;course_id=_207703_1&amp;ctxMenuXythosId=91998562_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_3238ee358f8f4bd1824423eaa627cfbc,open_with_browser_3238ee358f8f4bd1824423eaa627cfbc,open_with_bbdrive_3238ee358f8f4bd1824423eaa627cfbc,openWebId_3238ee358f8f4bd1824423eaa627cfbc,view360Id_3238ee358f8f4bd1824423eaa627cfbc,*separator*,*separator*,ax-ally-placeholder_3238ee358f8f4bd1824423eaa627cfbc,ax-ally-markForAxAnalysis_3238ee358f8f4bd1824423eaa627cfbc,*separator*,*separator*,content_settings_3238ee358f8f4bd1824423eaa627cfbc,content_editSettings_3238ee358f8f4bd1824423eaa627cfbc,content_edit_3238ee358f8f4bd1824423eaa627cfbc,properties_folder_3238ee358f8f4bd1824423eaa627cfbc,itemcarot_managerecord_3238ee358f8f4bd1824423eaa627cfbc,comments_tool_3238ee358f8f4bd1824423eaa627cfbc,subscriptions_list_3238ee358f8f4bd1824423eaa627cfbc,content_readfile_3238ee358f8f4bd1824423eaa627cfbc,content_overwrite_3238ee358f8f4bd1824423eaa627cfbc,passes_tool_3238ee358f8f4bd1824423eaa627cfbc,permissions_tool_3238ee358f8f4bd1824423eaa627cfbc,content_add_alignment_3238ee358f8f4bd1824423eaa627cfbc,content_tracking_3238ee358f8f4bd1824423eaa627cfbc,content_versions_3238ee358f8f4bd1824423eaa627cfbc,*separator*,*separator*,bookmarkId_3238ee358f8f4bd1824423eaa627cfbc,itemsId_3238ee358f8f4bd1824423eaa627cfbc,packagesId_3238ee358f8f4bd1824423eaa627cfbc,emailId_3238ee358f8f4bd1824423eaa627cfbc,removeContentFolderId_3238ee358f8f4bd1824423eaa627cfbc,*separator*,copyContentId_3238ee358f8f4bd1824423eaa627cfbc,moveContentId_3238ee358f8f4bd1824423eaa627cfbc,*separator*,removeContentId_3238ee358f8f4bd1824423eaa627cfbc,*separator*,Metadata_General_3238ee358f8f4bd1824423eaa627cfbc,Metadata_Dublin_Core_3238ee358f8f4bd1824423eaa627cfbc,Metadata_IMS_3238ee358f8f4bd1824423eaa627cfbc,Metadata_Full_IMS_3238ee358f8f4bd1824423eaa627cfbc,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_3238ee358f8f4bd1824423eaa627cfbc\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_3238ee358f8f4bd1824423eaa627cfbc',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_3238ee358f8f4bd1824423eaa627cfbc',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_3238ee358f8f4bd1824423eaa627cfbc',true);\"></a> \n </span></p>  \n<input type=\"hidden\" name=\"91998562_2_fileReadWritePermAvl\" id=\"91998562_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('3238ee358f8f4bd1824423eaa627cfbc');\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><p></p> \n <p><span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_91998563_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8341831-dt-content-rid-91998563_2/xid-91998563_2\" target=\"_blank\" rel=\"noreferrer noopener\">08H_Slides</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module08/08H_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00jx&amp;course_id=_207703_1&amp;ctxMenuXythosId=91998563_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" 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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('ac5d8cea1d12453ab30958c94dc2428a');\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><p></p> \n <p><span class=\"axScoreIndicator axVtbeEmbedded application\"><span 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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('1127da7213ff417380b3e6cda427eb46');\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><p></p> \n</div>\n  </div>\n\n <div id=\"_8341831_1previewModule\" class=\"moduleSample\">\n </div>\n",
        "url": "https://blackboard.jhu.edu/webapps/blackboard/content/launchLink.jsp?course_id=_207703_1&content_id=_8341831_1&mode=view",
        "title": "Video Lectures"
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class=\"moduleSample\">\n </div>\n",
    "url": "https://blackboard.jhu.edu/webapps/blackboard/content/launchLink.jsp?course_id=_207703_1&content_id=_8341831_1&mode=view",
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        "title": "Video Lectures",
        "body": "\n    <div> \n  \n <p>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8341831-dt-content-rid-91998567_2/xid-91998567_2\" target=\"_blank\" rel=\"noreferrer noopener\">08A_Slides</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module08/08A_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00jj&amp;course_id=_207703_1&amp;ctxMenuXythosId=91998567_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" 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bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_297fceba965146a3852a2e18a9aa67cf\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_297fceba965146a3852a2e18a9aa67cf',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_297fceba965146a3852a2e18a9aa67cf',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n </span></p>  \n \n \n \n \n \n \n <p>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8341831-dt-content-rid-91998568_2/xid-91998568_2\" target=\"_blank\" rel=\"noreferrer noopener\">08B_Slides</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module08/08B_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00jl&amp;course_id=_207703_1&amp;ctxMenuXythosId=91998568_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" 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bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_bc0f239280074a16b3ea767da8ea8588\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_bc0f239280074a16b3ea767da8ea8588',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_bc0f239280074a16b3ea767da8ea8588',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n </span></p>  \n \n \n \n \n \n \n <p>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8341831-dt-content-rid-91998569_2/xid-91998569_2\" target=\"_blank\" rel=\"noreferrer noopener\">08C_Slides</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module08/08C_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00jn&amp;course_id=_207703_1&amp;ctxMenuXythosId=91998569_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_013d13d4b58248479bbc84549cac19b0,open_with_browser_013d13d4b58248479bbc84549cac19b0,open_with_bbdrive_013d13d4b58248479bbc84549cac19b0,openWebId_013d13d4b58248479bbc84549cac19b0,view360Id_013d13d4b58248479bbc84549cac19b0,*separator*,*separator*,ax-ally-placeholder_013d13d4b58248479bbc84549cac19b0,ax-ally-markForAxAnalysis_013d13d4b58248479bbc84549cac19b0,*separator*,*separator*,content_settings_013d13d4b58248479bbc84549cac19b0,content_editSettings_013d13d4b58248479bbc84549cac19b0,content_edit_013d13d4b58248479bbc84549cac19b0,properties_folder_013d13d4b58248479bbc84549cac19b0,itemcarot_managerecord_013d13d4b58248479bbc84549cac19b0,comments_tool_013d13d4b58248479bbc84549cac19b0,subscriptions_list_013d13d4b58248479bbc84549cac19b0,content_readfile_013d13d4b58248479bbc84549cac19b0,content_overwrite_013d13d4b58248479bbc84549cac19b0,passes_tool_013d13d4b58248479bbc84549cac19b0,permissions_tool_013d13d4b58248479bbc84549cac19b0,content_add_alignment_013d13d4b58248479bbc84549cac19b0,content_tracking_013d13d4b58248479bbc84549cac19b0,content_versions_013d13d4b58248479bbc84549cac19b0,*separator*,*separator*,bookmarkId_013d13d4b58248479bbc84549cac19b0,itemsId_013d13d4b58248479bbc84549cac19b0,packagesId_013d13d4b58248479bbc84549cac19b0,emailId_013d13d4b58248479bbc84549cac19b0,removeContentFolderId_013d13d4b58248479bbc84549cac19b0,*separator*,copyContentId_013d13d4b58248479bbc84549cac19b0,moveContentId_013d13d4b58248479bbc84549cac19b0,*separator*,removeContentId_013d13d4b58248479bbc84549cac19b0,*separator*,Metadata_General_013d13d4b58248479bbc84549cac19b0,Metadata_Dublin_Core_013d13d4b58248479bbc84549cac19b0,Metadata_IMS_013d13d4b58248479bbc84549cac19b0,Metadata_Full_IMS_013d13d4b58248479bbc84549cac19b0,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_013d13d4b58248479bbc84549cac19b0\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_013d13d4b58248479bbc84549cac19b0',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_013d13d4b58248479bbc84549cac19b0',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n </span></p>  \n \n \n \n \n \n \n <p>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8341831-dt-content-rid-91998559_2/xid-91998559_2\" target=\"_blank\" rel=\"noreferrer noopener\">08D_Slides</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module08/08D_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00jp&amp;course_id=_207703_1&amp;ctxMenuXythosId=91998559_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_87084a2173da411dab586eefb90f1245,open_with_browser_87084a2173da411dab586eefb90f1245,open_with_bbdrive_87084a2173da411dab586eefb90f1245,openWebId_87084a2173da411dab586eefb90f1245,view360Id_87084a2173da411dab586eefb90f1245,*separator*,*separator*,ax-ally-placeholder_87084a2173da411dab586eefb90f1245,ax-ally-markForAxAnalysis_87084a2173da411dab586eefb90f1245,*separator*,*separator*,content_settings_87084a2173da411dab586eefb90f1245,content_editSettings_87084a2173da411dab586eefb90f1245,content_edit_87084a2173da411dab586eefb90f1245,properties_folder_87084a2173da411dab586eefb90f1245,itemcarot_managerecord_87084a2173da411dab586eefb90f1245,comments_tool_87084a2173da411dab586eefb90f1245,subscriptions_list_87084a2173da411dab586eefb90f1245,content_readfile_87084a2173da411dab586eefb90f1245,content_overwrite_87084a2173da411dab586eefb90f1245,passes_tool_87084a2173da411dab586eefb90f1245,permissions_tool_87084a2173da411dab586eefb90f1245,content_add_alignment_87084a2173da411dab586eefb90f1245,content_tracking_87084a2173da411dab586eefb90f1245,content_versions_87084a2173da411dab586eefb90f1245,*separator*,*separator*,bookmarkId_87084a2173da411dab586eefb90f1245,itemsId_87084a2173da411dab586eefb90f1245,packagesId_87084a2173da411dab586eefb90f1245,emailId_87084a2173da411dab586eefb90f1245,removeContentFolderId_87084a2173da411dab586eefb90f1245,*separator*,copyContentId_87084a2173da411dab586eefb90f1245,moveContentId_87084a2173da411dab586eefb90f1245,*separator*,removeContentId_87084a2173da411dab586eefb90f1245,*separator*,Metadata_General_87084a2173da411dab586eefb90f1245,Metadata_Dublin_Core_87084a2173da411dab586eefb90f1245,Metadata_IMS_87084a2173da411dab586eefb90f1245,Metadata_Full_IMS_87084a2173da411dab586eefb90f1245,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_87084a2173da411dab586eefb90f1245\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_87084a2173da411dab586eefb90f1245',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_87084a2173da411dab586eefb90f1245',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n </span></p>  \n \n \n \n \n \n \n <p>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8341831-dt-content-rid-91998560_2/xid-91998560_2\" target=\"_blank\" rel=\"noreferrer noopener\">08E_Slides</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module08/08E_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00jr&amp;course_id=_207703_1&amp;ctxMenuXythosId=91998560_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_f00c03ef34cb43b0a2dbba765a343de7,open_with_browser_f00c03ef34cb43b0a2dbba765a343de7,open_with_bbdrive_f00c03ef34cb43b0a2dbba765a343de7,openWebId_f00c03ef34cb43b0a2dbba765a343de7,view360Id_f00c03ef34cb43b0a2dbba765a343de7,*separator*,*separator*,ax-ally-placeholder_f00c03ef34cb43b0a2dbba765a343de7,ax-ally-markForAxAnalysis_f00c03ef34cb43b0a2dbba765a343de7,*separator*,*separator*,content_settings_f00c03ef34cb43b0a2dbba765a343de7,content_editSettings_f00c03ef34cb43b0a2dbba765a343de7,content_edit_f00c03ef34cb43b0a2dbba765a343de7,properties_folder_f00c03ef34cb43b0a2dbba765a343de7,itemcarot_managerecord_f00c03ef34cb43b0a2dbba765a343de7,comments_tool_f00c03ef34cb43b0a2dbba765a343de7,subscriptions_list_f00c03ef34cb43b0a2dbba765a343de7,content_readfile_f00c03ef34cb43b0a2dbba765a343de7,content_overwrite_f00c03ef34cb43b0a2dbba765a343de7,passes_tool_f00c03ef34cb43b0a2dbba765a343de7,permissions_tool_f00c03ef34cb43b0a2dbba765a343de7,content_add_alignment_f00c03ef34cb43b0a2dbba765a343de7,content_tracking_f00c03ef34cb43b0a2dbba765a343de7,content_versions_f00c03ef34cb43b0a2dbba765a343de7,*separator*,*separator*,bookmarkId_f00c03ef34cb43b0a2dbba765a343de7,itemsId_f00c03ef34cb43b0a2dbba765a343de7,packagesId_f00c03ef34cb43b0a2dbba765a343de7,emailId_f00c03ef34cb43b0a2dbba765a343de7,removeContentFolderId_f00c03ef34cb43b0a2dbba765a343de7,*separator*,copyContentId_f00c03ef34cb43b0a2dbba765a343de7,moveContentId_f00c03ef34cb43b0a2dbba765a343de7,*separator*,removeContentId_f00c03ef34cb43b0a2dbba765a343de7,*separator*,Metadata_General_f00c03ef34cb43b0a2dbba765a343de7,Metadata_Dublin_Core_f00c03ef34cb43b0a2dbba765a343de7,Metadata_IMS_f00c03ef34cb43b0a2dbba765a343de7,Metadata_Full_IMS_f00c03ef34cb43b0a2dbba765a343de7,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_f00c03ef34cb43b0a2dbba765a343de7\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_f00c03ef34cb43b0a2dbba765a343de7',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_f00c03ef34cb43b0a2dbba765a343de7',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n </span></p>  \n \n \n \n \n \n \n <p>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-8341831-dt-content-rid-91998561_2/xid-91998561_2\" target=\"_blank\" rel=\"noreferrer noopener\">08F_Slides</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.703.81.SU20/Module08/08F_Slides.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00jt&amp;course_id=_207703_1&amp;ctxMenuXythosId=91998561_2&amp;course_id=_207703_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_82a4f29775a340b58524fdeda82ec206,open_with_browser_82a4f29775a340b58524fdeda82ec206,open_with_bbdrive_82a4f29775a340b58524fdeda82ec206,openWebId_82a4f29775a340b58524fdeda82ec206,view360Id_82a4f29775a340b58524fdeda82ec206,*separator*,*separator*,ax-ally-placeholder_82a4f29775a340b58524fdeda82ec206,ax-ally-markForAxAnalysis_82a4f29775a340b58524fdeda82ec206,*separator*,*separator*,content_settings_82a4f29775a340b58524fdeda82ec206,content_editSettings_82a4f29775a340b58524fdeda82ec206,content_edit_82a4f29775a340b58524fdeda82ec206,properties_folder_82a4f29775a340b58524fdeda82ec206,itemcarot_managerecord_82a4f29775a340b58524fdeda82ec206,comments_tool_82a4f29775a340b58524fdeda82ec206,subscriptions_list_82a4f29775a340b58524fdeda82ec206,content_readfile_82a4f29775a340b58524fdeda82ec206,content_overwrite_82a4f29775a340b58524fdeda82ec206,passes_tool_82a4f29775a340b58524fdeda82ec206,permissions_tool_82a4f29775a340b58524fdeda82ec206,content_add_alignment_82a4f29775a340b58524fdeda82ec206,content_tracking_82a4f29775a340b58524fdeda82ec206,content_versions_82a4f29775a340b58524fdeda82ec206,*separator*,*separator*,bookmarkId_82a4f29775a340b58524fdeda82ec206,itemsId_82a4f29775a340b58524fdeda82ec206,packagesId_82a4f29775a340b58524fdeda82ec206,emailId_82a4f29775a340b58524fdeda82ec206,removeContentFolderId_82a4f29775a340b58524fdeda82ec206,*separator*,copyContentId_82a4f29775a340b58524fdeda82ec206,moveContentId_82a4f29775a340b58524fdeda82ec206,*separator*,removeContentId_82a4f29775a340b58524fdeda82ec206,*separator*,Metadata_General_82a4f29775a340b58524fdeda82ec206,Metadata_Dublin_Core_82a4f29775a340b58524fdeda82ec206,Metadata_IMS_82a4f29775a340b58524fdeda82ec206,Metadata_Full_IMS_82a4f29775a340b58524fdeda82ec206,\" 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Q&A

Cell description

Continue to ask questions and answer your classmates' questions in Piazza.

Participation in the class discussion is expected. It is unlikely you will go through the material without any questions. Please be sure to make at least one technically relevant posting, whether a question or comment.

To access Piazza, click Piazza Discussions on the course menu.

Technical 
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Assignment 8

Cell description

Assignment 8

has four problems. The first three are fairly straightforward specific examples of topics covered in the module. The fourth problem is not particularly more difficult than the others, but presents an interesting application as well as a link back to topics covered in the previous module.

The assignment is due by the end of Module 8, following the Assignment Guidelines.

To submit the assignment, click the Assignment 8 title above.

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Mini-Project 1

Cell description

Mini-Project 1

has you explore topics covered in Modules 8 and 9 in a guided fashion. It focuses on discrete-time simulation of continuous-time systems. Some steps have you formulate the simulation and study the systems of interest in a theoretical sense. Then you are guided through performing the computer simulation and generating and analyzing results.

The Mini-Project will require using a scientific computation package, such as MATLAB or Mathematica, so you should make sure to have access to such a package. Contact the instructor if you plan to use other software tools such as Python libraries.

The Mini-Project is due by the end of Module 9, following the Mini-Project Guidelines. You should make as much progress as you can, however, by Day 7 of Module 8, so that you can complete the assignment on time. You are welcome to submit partial work for feedback and review by the instructor before the final due date, and indeed you are encouraged to inform the instructor of your progress by Day 7 of Module 8. Your grade for the project will be based on your final submission only, so do not be concerned if some of your preliminary work is incomplete or has errors.

Technical 
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