Module 12: Introduction to Signals and Systems

Folder description

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

  1. Ideal and Uniform Sampling (12A)
  2. Aliasing (12B)
  3. State Space Model from Impulse Response Function (Example 1)
  4. Nyquist-Shannon (12C)
  5. Zero Input Response (Example 2)
  6. Quantization (12D)
  7. Signal Reconstruction (12E)
  8. Coordiante Transforms (Example 3)
  9. Linear Predication with Noise (Example 4)
  10. JPEG (12F)
  11. Linear FIR Filtering (Example 5)
  12. Controlling Biological Networks by Time-Delayed Signals (12G)
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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 Ideal and Uniform Sampling.
  • Apply Signal Reconstruction ideas to a sampled Signal.
  • Define Nyquist-Shannon sampling criteria.
  • Describe how aliasing can occur.
  • Apply error reduction to optimally recover a signal.
  • Describe quantization error and its possible resolutions.
  • Apply concepts from state space to discrete time systems and signals.
  • Determine the zero time impulse response function.

How to Complete This Module:

  1. View lectures 12A-12G 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 in 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
    • Review: Chapters 1-7 (don't be afraid to read ahead or catch-up on parts behind; note no homework problems from this book this week)
  • Chaparro, L. (2014). Signals and systems using MATLAB (2nd ed.). Academic Press.
    • Chapter 8 (2nd edition) ; Chapter 7 (1st edition) -- basically same chapter content, in the different editions --

EReserves

The following supplemental readings are referenced in lecture 12G.

  • G. Orosz, J. Moehlis, and R.M. Murray (2010) Controlling biological networks by time-delayed signals. in Phil. Trans. R. Soc. A 368:439-454 DOI:10.1098/rsta.2009.0242 paper_for_this_week.pdf  
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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:&nbsp;<span><span>http</span></span>://<span><span>www</span></span>.<span><span>cds</span></span>.<span><span>caltech</span></span>.<span><span>edu</span></span>/<span><span>~murray</span></span>/<span><span>amwiki</span></span>/index.<span><span>php</span></span>/Second_Edition \n   <ul style=\"list-style-type: circle;\"> \n    <li>Review: Chapters 1-7 (don't be afraid to read ahead or catch-up on parts behind; note no homework problems from this book this week)</li> \n   </ul> </li> \n  <li><span><span><span><span>Chaparro</span></span></span></span>, L. (2014). <em>Signals and systems using MATLAB </em>(2<span><span><span><span>nd</span></span></span></span> ed.). Academic Press. \n   <ul style=\"list-style-type: circle;\"> \n    <li>Chapter 8 (2<span><span><span><span>nd</span></span></span></span>&nbsp;edition) ; Chapter 7 (1st edition) -- basically same chapter content, in the&nbsp;different editions --</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;\"><span><span><span><span>EReserves</span></span></span></span></span></strong></p> \n <p>The following supplemental readings are referenced in lecture 12G.</p> \n <ul> \n  <li>G. <span><span><span><span>Orosz</span></span></span></span>, J. <span><span><span><span>Moehlis</span></span></span></span>, and R.M. Murray (2010) <em>Controlling biological networks by time-delayed signals</em>. in Phil. Trans. R. Soc. 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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:&nbsp;<span><span>http</span></span>://<span><span>www</span></span>.<span><span>cds</span></span>.<span><span>caltech</span></span>.<span><span>edu</span></span>/<span><span>~murray</span></span>/<span><span>amwiki</span></span>/index.<span><span>php</span></span>/Second_Edition \n   <ul style=\"list-style-type: circle;\"> \n    <li>Review: Chapters 1-7 (don't be afraid to read ahead or catch-up on parts behind; note no homework problems from this book this week)</li> \n   </ul> </li> \n  <li><span><span><span><span>Chaparro</span></span></span></span>, L. (2014). <em>Signals and systems using MATLAB </em>(2<span><span><span><span>nd</span></span></span></span> ed.). Academic Press. \n   <ul style=\"list-style-type: circle;\"> \n    <li>Chapter 8 (2<span><span><span><span>nd</span></span></span></span>&nbsp;edition) ; Chapter 7 (1st edition) -- basically same chapter content, in the&nbsp;different editions --</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;\"><span><span><span><span>EReserves</span></span></span></span></span></strong></p> \n <p>The following supplemental readings are referenced in lecture 12G.</p> \n <ul> \n  <li>G. <span><span><span><span>Orosz</span></span></span></span>, J. <span><span><span><span>Moehlis</span></span></span></span>, and R.M. Murray (2010) <em>Controlling biological networks by time-delayed signals</em>. in Phil. Trans. R. Soc. 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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><span><span><span><span>Astrom</span></span></span></span>, J. K. &amp; Murray, R.M. (2008).<em>Feedback systems: An introduction for scientists and engineers</em>. Princeton, NJ: Princeton University Press.Available at:&nbsp;<span><span>http</span></span>://<span><span>www</span></span>.<span><span>cds</span></span>.<span><span>caltech</span></span>.<span><span>edu</span></span>/<span><span>~murray</span></span>/<span><span>amwiki</span></span>/index.<span><span>php</span></span>/Second_Edition \n   <ul> \n    <li>Review: Chapters 1-7 (don't be afraid to read ahead or catch-up on parts behind; note no homework problems from this book this week)</li> \n   </ul> </li> \n  <li><span><span><span><span>Chaparro</span></span></span></span>, L. (2014). <em>Signals and systems using MATLAB </em>(2<span><span><span><span>nd</span></span></span></span> ed.). Academic Press. \n   <ul> \n    <li>Chapter 8 (2<span><span><span><span>nd</span></span></span></span>&nbsp;edition) ; Chapter 7 (1st edition) -- basically same chapter content, in the&nbsp;different editions --</li> \n   </ul> </li> \n </ul> \n <p><strong><span><span><span><span><span>EReserves</span></span></span></span></span></strong></p> \n <p>The following supplemental readings are referenced in lecture 12G.</p> \n <ul> \n  <li>G. <span><span><span><span>Orosz</span></span></span></span>, J. <span><span><span><span>Moehlis</span></span></span></span>, and R.M. Murray (2010) <em>Controlling biological networks by time-delayed signals</em>. in Phil. Trans. R. Soc. A 368:439-454 DOI:10.1098/<span><span><span><span>rsta</span></span></span></span>.2009.0242\n<a alt=\"\" target=\"_blank\" href=\"https://blackboard.jhu.edu/bbcswebdav/pid-5740887-dt-content-rid-51355310_2/xid-51355310_2\">paper_for_this_week.pdf</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.260.81.FA18/439.full.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00vn&amp;course_id=_169707_1&amp;ctxMenuXythosId=51355310_2&amp;course_id=_169707_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_fe6902bcec3641528921625e1150caac,open_with_browser_fe6902bcec3641528921625e1150caac,open_with_bbdrive_fe6902bcec3641528921625e1150caac,openWebId_fe6902bcec3641528921625e1150caac,view360Id_fe6902bcec3641528921625e1150caac,*separator*,*separator*,ax-ally-placeholder_fe6902bcec3641528921625e1150caac,ax-ally-markForAxAnalysis_fe6902bcec3641528921625e1150caac,*separator*,*separator*,content_settings_fe6902bcec3641528921625e1150caac,content_editSettings_fe6902bcec3641528921625e1150caac,content_edit_fe6902bcec3641528921625e1150caac,properties_folder_fe6902bcec3641528921625e1150caac,itemcarot_managerecord_fe6902bcec3641528921625e1150caac,comments_tool_fe6902bcec3641528921625e1150caac,subscriptions_list_fe6902bcec3641528921625e1150caac,content_readfile_fe6902bcec3641528921625e1150caac,content_overwrite_fe6902bcec3641528921625e1150caac,passes_tool_fe6902bcec3641528921625e1150caac,permissions_tool_fe6902bcec3641528921625e1150caac,content_add_alignment_fe6902bcec3641528921625e1150caac,content_tracking_fe6902bcec3641528921625e1150caac,content_versions_fe6902bcec3641528921625e1150caac,*separator*,*separator*,bookmarkId_fe6902bcec3641528921625e1150caac,itemsId_fe6902bcec3641528921625e1150caac,packagesId_fe6902bcec3641528921625e1150caac,emailId_fe6902bcec3641528921625e1150caac,removeContentFolderId_fe6902bcec3641528921625e1150caac,*separator*,copyContentId_fe6902bcec3641528921625e1150caac,moveContentId_fe6902bcec3641528921625e1150caac,*separator*,removeContentId_fe6902bcec3641528921625e1150caac,*separator*,Metadata_General_fe6902bcec3641528921625e1150caac,Metadata_Dublin_Core_fe6902bcec3641528921625e1150caac,Metadata_IMS_fe6902bcec3641528921625e1150caac,Metadata_Full_IMS_fe6902bcec3641528921625e1150caac,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_fe6902bcec3641528921625e1150caac\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_fe6902bcec3641528921625e1150caac',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_fe6902bcec3641528921625e1150caac',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n  </span> \n \n \n \n \n \n&nbsp;</li> \n </ul> \n</div>\n  "
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Module 12 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 12 Discussion" link above and creating a new thread. Please contribute to the class discussion with your discussion about:

Question:

Thread 12.1

  • Give an example (search the web if you don’t know) where aliasing error created a completely false conclusion as to the underlying signal.
  • What did you think about time-delayed signal control as proposed in the Murray et al paper?
  • Describe a system that you’ve worked with (or that you’d like to explore working with) where you should be concerned about signal reconstruction error and how you’d like to handle the issue.

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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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=\"margin-left: 30px;\">Check the rubric above to ensure you understand the expectations and how you will be assessed on these important assignments.&nbsp;</p> \n <p style=\"margin-left: 30px;\">There is one discussion thread in this module. Submit your posts by clicking on the \"Module 12 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 12.1</strong></p> \n <ul style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\"> \n  <li>Give an example (search the web if you don’t know) where aliasing error created a completely false conclusion as to the underlying signal.</li> \n  <li>What did you think about time-delayed signal control as proposed in the Murray et al paper?</li> \n  <li>Describe a system that you’ve worked with (or that you’d like to explore working with) where you should be concerned about signal reconstruction error and how you’d like to handle the issue.</li> \n </ul> \n <p style=\"margin-left: 30px;\">For responses to classmates' posts, please realize that just posting ‘I agree’ or ‘I disagree’ is not sufficient.</p> \n <p style=\"margin-left: 30px;\">Don’t be afraid to share your insights and discoveries. 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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 style=\"margin-left: 30px;\">Check the rubric above to ensure you understand the expectations and how you will be assessed on these important assignments.&nbsp;</p> \n <p style=\"margin-left: 30px;\">There is one discussion thread in this module. Submit your posts by clicking on the \"Module 12 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 12.1</strong></p> \n <ul style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\"> \n  <li>Give an example (search the web if you don’t know) where aliasing error created a completely false conclusion as to the underlying signal.</li> \n  <li>What did you think about time-delayed signal control as proposed in the Murray et al paper?</li> \n  <li>Describe a system that you’ve worked with (or that you’d like to explore working with) where you should be concerned about signal reconstruction error and how you’d like to handle the issue.</li> \n </ul> \n <p style=\"margin-left: 30px;\">For responses to classmates' posts, please realize that just posting ‘I agree’ or ‘I disagree’ is not sufficient.</p> \n <p style=\"margin-left: 30px;\">Don’t be afraid to share your insights and discoveries. 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Module 12 Assignment

Cell description

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

  • Chaparro: problems  8.16, 8.17, 8.18, 8.19

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 12 Assignment" link above.

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

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Module 12 Personal Learning Journal

Cell description

In your learning journal entries for this week comment about:

  • How can a knowledge of sampling errors (reconstruction, quantization, aliasing, contribute to your project and/or your long-term goals?
  • Work more on your project ideas and how they might best be implemented.

Click on the “Module 12 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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        "title": "Module 12 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=\"_5740890_1\">\n\n <h3 id=\"anonymous_element_17\">\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=_5740890_1&amp;mode=view\"><span style=\"color:#0067ac;\">Module 12 Personal Learning Journal</span></a>\n      </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_5740890_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n            Module 12 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 can a knowledge of sampling errors (reconstruction, quantization, aliasing, contribute to your project and/or your long-term goals?</li> \n  <li>Work more on your project ideas and how they might best be implemented.</li> \n </ul> \n <p>Click on the “Module 12 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  </div>\n\n <div id=\"_5740890_1previewModule\" class=\"moduleSample\">\n </div>\n",
    "url": "https://blackboard.jhu.edu/webapps/blackboard/content/launchLink.jsp?course_id=_169707_1&content_id=_5740890_1&mode=view",
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        "title": "Module 12 Personal Learning Journal",
        "body": "\n    <div> \n <p>In your learning journal entries for this week comment about:</p> \n <ul> \n  <li>How can a knowledge of sampling errors (reconstruction, quantization, aliasing, contribute to your project and/or your long-term goals?</li> \n  <li>Work more on your project ideas and how they might best be implemented.</li> \n </ul> \n <p>Click on the “Module 12 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  "
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}