Module 4: Introduction to Signals and Systems

Folder description

Please click the folder link above to access the Module 4 instructional content. Module 4 contains 12 video lectures that present the following topics:

  1. PID Control (4A)
  2. Discrete Time Systems (4B)
  3. Choosing Parameters for PI Controller (4C)
  4. Complex Numbers (Example 1)
  5. Polar Representation of Complex Numbers (Example 2)
  6. Complex Exponentials (Example 3)
  7. Oscillations Reference Terms (Example 4)
  8. Sinusoidal Identity (Example 5)
  9. Introduction to Convolution (4D)
  10. Graphical Computation of Convolution Integral (4E)
  11. Connecting LTI Systems (4F)
  12. Microscopes and Telescopes: Point Spread Functions (4G)
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Module at a Glance ObjectivesHow to Complete This Module:

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Objectives

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

  • Explain how superposition and time-invariance lead to convolution.
  • Apply the convolution idea to analysis of simple systems.
  • Define a PI control and how it is used.
  • Describe the point spread function for microscopes and telescopes.
  • Apply complex numbers, impulse response and polar representations to simple signals.
  • Describe the design process for simple controllers.

How to Complete This Module:

  1. View Lectures 4A-4G and Examples 1-5.
  2. Complete the assigned reading to supplement the material presented in the lectures.
  3. Participate in the module discussion.
  4. Access and complete Quiz 1.
  5. Complete and submit the module assignment.
  6. 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
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Module 4 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 4 Discussion" link above and creating a new thread. Please contribute to the class discussion with your disscussion about:

Question:

Thread 4.1

  • Whether you’ve done any calculations with convolutions before?
  • If you’ve built used a microscope or telescope and thought about the point spread function?
  • Whether you’ve done any work with PI controllers?

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 4 Discussion\" link above and creating a new thread. 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Quiz 1

Cell description

Please download the attachment to view Quiz 1, which consists of three problem sets that you should work through and submit.

***Please note that this is a timed assessment and that you should submit the quiz within 3 hours of accessing the quiz file attachment.***

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

  • 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 "Quiz 1" link above.

Required Activity: Submit answers to Quiz 1 Due by: 11:59 PM Day 7

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Module 4 Assignment

Cell description

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

  • Chaparro: problem 2.2, 2.5 (2.4 and 2.7 in 1st edition)
  • Astrom and Murray: problem 3.5

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 4 Assignment" link above.

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

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Module 4 Personal Learning Journal

Cell description

In your learning journal entries for this module comment about:

  • How the ideas for convolution relate to things that you are working with right now.
  • Some more ideas for projects using MATLAB and control related to your class project.

Click on the “Module 4 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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        "html": "\n\n<img alt=\"Journals\" src=\"/images/ci/sets/set01/journal_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_5740738_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=_5740738_1&amp;mode=view\"><span style=\"color:#0067ac;\">Module 4 Personal Learning Journal</span></a>\n      </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_5740738_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n            Module 4 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 module comment about:</p> \n <ul> \n  <li>How the ideas for convolution relate to things that you are working with right now.</li> \n  <li>Some more ideas for projects using MATLAB and control related to your class project.</li> \n </ul> \n <p>Click on the “Module 4 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.<br><span style=\"text-decoration: underline;\">Due by:</span> 11:59 PM Day 7</p> \n</div>\n  </div>\n\n <div id=\"_5740738_1previewModule\" class=\"moduleSample\">\n </div>\n",
        "url": "https://blackboard.jhu.edu/webapps/blackboard/content/launchLink.jsp?course_id=_169707_1&content_id=_5740738_1&mode=view",
        "title": "Module 4 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=\"_5740738_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=_5740738_1&amp;mode=view\"><span style=\"color:#0067ac;\">Module 4 Personal Learning Journal</span></a>\n      </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_5740738_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n            Module 4 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 module comment about:</p> \n <ul> \n  <li>How the ideas for convolution relate to things that you are working with right now.</li> \n  <li>Some more ideas for projects using MATLAB and control related to your class project.</li> \n </ul> \n <p>Click on the “Module 4 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.<br><span style=\"text-decoration: underline;\">Due by:</span> 11:59 PM Day 7</p> \n</div>\n  </div>\n\n <div id=\"_5740738_1previewModule\" class=\"moduleSample\">\n </div>\n",
    "url": "https://blackboard.jhu.edu/webapps/blackboard/content/launchLink.jsp?course_id=_169707_1&content_id=_5740738_1&mode=view",
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        "title": "Module 4 Personal Learning Journal",
        "body": "\n    <div> \n <p>In your learning journal entries for this module comment about:</p> \n <ul> \n  <li>How the ideas for convolution relate to things that you are working with right now.</li> \n  <li>Some more ideas for projects using MATLAB and control related to your class project.</li> \n </ul> \n <p>Click on the “Module 4 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.<span>Due by:</span> 11:59 PM Day 7</p> \n</div>\n  "
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