Module 3: Introduction to Signals and Systems

Folder description

Please click the folder link above to access the Module 3 instructional content. Module 3 contains 10 video lectures that present the following topics:

  1. Introduction to Continuous Time Systems (3A)
  2. Differential Equations for Dynamics (3B)
  3. Differential Equations and Control (3C)
  4. RLC Step-Response Defining Equations (Example 1)
  5. RLC Circuit and Connections to Damped Oscillator (Example 2)
  6. Overdamped, Critically Damped, and Underdamped RLC circuits (Example 3)
  7. m-file for Running RLC Analysis (Example 4)
  8. Plots and Notes on MATLAB for RLC Step Response (Example 5)
  9. Speech Production and Analysis (3D)
  10. Introduction to Stability Analysis (3E)
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Module at a Glance ObjectivesHow to Complete This Module:

Cell description

Objectives

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

  • Describe the analysis of a RLC circuit and its equations in MATLAB.
  • Apply the concepts of stability analysis for simple linear dynamical systems.
  • Define a LTI system and what it means and how it is useful.
  • Describe how the human vocal tract works and the analogy to musical instruments.
  • Apply the characteristic polynomial as an instrument for the solution to differential equations.
  • Describe a transfer function, how it relates to block diagrams and solutions of differential equations.

How to Complete This Module:

  1. View Lectures 3A-3E and Examples 1-5.
  2. Complete the assigned reading to supplement the material presented in the lectures.
  3. Participate in the module discussion.
  4. Complete and submit the module assignment.
  5. Complete the required entry to your personal learning journal.
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Readings

Cell description

This week's reading assignment includes the following:

Text Books

  • Astrom, J. K. & Murray, R.M. (2008).Feedback systems: An introduction for scientists and engineers. Princeton, NJ: Princeton University Press.Available at: http://www.cds.caltech.edu/~murray/amwiki/index.php/Second_Edition
    • Chapter 3
  • Chaparro, L. (2014). Signals and systems using MATLAB (2nd ed.). Academic Press.
    • Chapter 2
  • RLC_matlab_step_response.pdf (note this is instructor created so not an EReserves item).
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Module 3 Discussion Participation GuidelinesQuestion:

Cell description

Discussion forum rubric:  625.260 Discusssion Rubric

Participation Guidelines

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.

Check the rubric above to ensure you understand the expectations and how you will be assessed on these important assignments.

There is one discussion thread in this module. Submit your posts by clicking on the "Module 3 Discussion" link above and creating a new thread. Please contribute to the class discussion with your disscussion about:

Question:

Thread 3.1

  • Whether you’ve done any circuit analysis in the past and what software you used?
  • If you’ve built any op-amp circuits and used them for a real device?
  • Whether you’ve done any work with speech synthesis or analysis in the past?

For responses to classmates' posts, please realize that just posting ‘I agree’ or ‘I disagree’ is not sufficient.

Don’t be afraid to share your insights and discoveries. This is how we will build a community around the course.
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.

Required Activity: 1 Original Post / 2 Responses Due by: Original Post 11:59PM Day 4, Responses 11:59PM Day 7

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font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small; quotes: '';\"> \n  <p style=\"font-size: 13px;\">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 style=\"font-size: 13px;\">Check the rubric above to ensure you understand the expectations and how you will be assessed on these important assignments.</p> \n  <p style=\"font-size: 13px;\">There is one discussion thread in this module. Submit your posts by clicking on the \"Module 3 Discussion\" link above and creating a new thread. Please contribute to the class discussion with your disscussion about:</p> \n </blockquote> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_15\">Question:</h3> \n <blockquote style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small; quotes: '';\"> \n  <p style=\"font-size: 13px;\"><strong style=\"font-size: 13px;\">Thread 3.1</strong></p> \n  <ul> \n   <li>Whether you’ve done any circuit analysis in the past and what software you used?</li> \n   <li>If you’ve built any op-amp circuits and used them for a real device?</li> \n   <li>Whether you’ve done any work with speech synthesis or analysis in the past?</li> \n  </ul> \n  <p>For responses to classmates' posts, please realize that just posting ‘I agree’ or ‘I disagree’ is not sufficient.</p> Don’t be afraid to share your insights and discoveries. This is how we will build a community around the course. \n </blockquote> \n <blockquote style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small; quotes: '';\">\n   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. \n </blockquote> \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=\"_5740717_1previewModule\" class=\"moduleSample\">\n </div>\n",
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font-size: small;\"><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-5740717-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=vd00tn&amp;course_id=_169707_1&amp;ctxMenuXythosId=51355346_2&amp;course_id=_169707_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_58f4883fe94848e9b767b14aaa1b0bb1,open_with_browser_58f4883fe94848e9b767b14aaa1b0bb1,open_with_bbdrive_58f4883fe94848e9b767b14aaa1b0bb1,openWebId_58f4883fe94848e9b767b14aaa1b0bb1,view360Id_58f4883fe94848e9b767b14aaa1b0bb1,*separator*,*separator*,ax-ally-placeholder_58f4883fe94848e9b767b14aaa1b0bb1,ax-ally-markForAxAnalysis_58f4883fe94848e9b767b14aaa1b0bb1,*separator*,*separator*,content_settings_58f4883fe94848e9b767b14aaa1b0bb1,content_editSettings_58f4883fe94848e9b767b14aaa1b0bb1,content_edit_58f4883fe94848e9b767b14aaa1b0bb1,properties_folder_58f4883fe94848e9b767b14aaa1b0bb1,itemcarot_managerecord_58f4883fe94848e9b767b14aaa1b0bb1,comments_tool_58f4883fe94848e9b767b14aaa1b0bb1,subscriptions_list_58f4883fe94848e9b767b14aaa1b0bb1,content_readfile_58f4883fe94848e9b767b14aaa1b0bb1,content_overwrite_58f4883fe94848e9b767b14aaa1b0bb1,passes_tool_58f4883fe94848e9b767b14aaa1b0bb1,permissions_tool_58f4883fe94848e9b767b14aaa1b0bb1,content_add_alignment_58f4883fe94848e9b767b14aaa1b0bb1,content_tracking_58f4883fe94848e9b767b14aaa1b0bb1,content_versions_58f4883fe94848e9b767b14aaa1b0bb1,*separator*,*separator*,bookmarkId_58f4883fe94848e9b767b14aaa1b0bb1,itemsId_58f4883fe94848e9b767b14aaa1b0bb1,packagesId_58f4883fe94848e9b767b14aaa1b0bb1,emailId_58f4883fe94848e9b767b14aaa1b0bb1,removeContentFolderId_58f4883fe94848e9b767b14aaa1b0bb1,*separator*,copyContentId_58f4883fe94848e9b767b14aaa1b0bb1,moveContentId_58f4883fe94848e9b767b14aaa1b0bb1,*separator*,removeContentId_58f4883fe94848e9b767b14aaa1b0bb1,*separator*,Metadata_General_58f4883fe94848e9b767b14aaa1b0bb1,Metadata_Dublin_Core_58f4883fe94848e9b767b14aaa1b0bb1,Metadata_IMS_58f4883fe94848e9b767b14aaa1b0bb1,Metadata_Full_IMS_58f4883fe94848e9b767b14aaa1b0bb1,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_58f4883fe94848e9b767b14aaa1b0bb1\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_58f4883fe94848e9b767b14aaa1b0bb1',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_58f4883fe94848e9b767b14aaa1b0bb1',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_58f4883fe94848e9b767b14aaa1b0bb1',true);\"></a> \n </span></strong></strong></p><strong style=\"font-size: 13px;\"><strong style=\"font-style: normal; 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('58f4883fe94848e9b767b14aaa1b0bb1');\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><br> </strong><p></p> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_14\">Participation Guidelines</h3> \n <blockquote style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small; quotes: '';\"> \n  <p style=\"font-size: 13px;\">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 style=\"font-size: 13px;\">Check the rubric above to ensure you understand the expectations and how you will be assessed on these important assignments.</p> \n  <p style=\"font-size: 13px;\">There is one discussion thread in this module. Submit your posts by clicking on the \"Module 3 Discussion\" link above and creating a new thread. Please contribute to the class discussion with your disscussion about:</p> \n </blockquote> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_15\">Question:</h3> \n <blockquote style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small; quotes: '';\"> \n  <p style=\"font-size: 13px;\"><strong style=\"font-size: 13px;\">Thread 3.1</strong></p> \n  <ul> \n   <li>Whether you’ve done any circuit analysis in the past and what software you used?</li> \n   <li>If you’ve built any op-amp circuits and used them for a real device?</li> \n   <li>Whether you’ve done any work with speech synthesis or analysis in the past?</li> \n  </ul> \n  <p>For responses to classmates' posts, please realize that just posting ‘I agree’ or ‘I disagree’ is not sufficient.</p> Don’t be afraid to share your insights and discoveries. This is how we will build a community around the course. \n </blockquote> \n <blockquote style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small; quotes: '';\">\n   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. \n </blockquote> \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=\"_5740717_1previewModule\" class=\"moduleSample\">\n </div>\n",
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Module 3 Assignment

Cell description

In this module, you will complete the problem sets listed below as an assignment:

  • Chaparro: problem 2.1, 2.3, and 2.7 (2nd edition)
  • Astrom and Murray: problem 3.1 and 3.9 (2nd edition)
  • For RLC matlab step response: show MATLAB and play with parameters

Follow the general guidelines below to complete and submit the assignment.

  • Problems should be done neatly on paper and scanned or completed electronically using markup on a tablet device.
  • At the top of the page, include your name, module number, and page number (page 1 of 2, etc.)
  • Submit your answers in PDF (.pdf) format by uploading to Blackboard using the "Module 3 Assignment" link above.

Required Activity: Submit answers to the problem sets.Due by: 11:59 PM Day 7

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Module 3 Personal Learning Journal

Cell description

In your learning journal entries for this module comment about:

  • How a model for stability analysis and proportional control may help your work.
  • Some ideas for projects using MATLAB and control related to your class project.

Click on the “Module 3 Personal Learning Journal” above to access your journal and create your entry.

Required Activity: Create a reflective personal journal entry post in response to the prompts given.Due by: 11:59 PM Day 7

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RLC circuit MATLAB example

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