Line 9: Line 9:
 
3. Practice problems on Nyquist rate have been added below. (Two of them will help you practice convolving two window functions, as discussed in class on Monday).  
 
3. Practice problems on Nyquist rate have been added below. (Two of them will help you practice convolving two window functions, as discussed in class on Monday).  
  
−
4. A list of supplementary problems for Chapter 9 and Chapter 10 has been added below.  
+
4. A list of supplementary problems for Chapter 9 and Chapter 10 has been added below.
−
</div>  
+
</div>
 
----
 
----
  
Line 17: Line 17:
 
*Instructor: [[User:Mboutin|Prof. Mimi]]  
 
*Instructor: [[User:Mboutin|Prof. Mimi]]  
 
**Office: MSEE 342  
 
**Office: MSEE 342  
−
**[[Open office hours mboutin|Office hours]] are listed [[Open office hours mboutin|here]].  
+
**[[Open office hours mboutin|Office hours]] are listed [[Open office hours mboutin|here]].
 
*Teaching Assistant: Imad Ahmad  
 
*Teaching Assistant: Imad Ahmad  
 
**Email: ahmadi@purdue.edu  
 
**Email: ahmadi@purdue.edu  
 
**Office: EE 238  
 
**Office: EE 238  
−
**Office Hours: TR 12:00-2:00  
+
**Office Hours: TR 12:00-2:00
 
*[[Lecture Schedule ECE301Spring11 Boutin|Schedule]]  
 
*[[Lecture Schedule ECE301Spring11 Boutin|Schedule]]  
 
*[[Media:SyllabusECE301S11boutin.pdf|Course Syllabus]]  
 
*[[Media:SyllabusECE301S11boutin.pdf|Course Syllabus]]  
Line 28: Line 28:
 
**Test 2, Friday March 25, 2011  
 
**Test 2, Friday March 25, 2011  
 
**Test 3, Friday April 22, 2011  
 
**Test 3, Friday April 22, 2011  
−
**Final, TBD  
+
**Final, TBD
 
*What previous students have to say about this course:  
 
*What previous students have to say about this course:  
 
**[[Peer Legacy ECE301|Peer Legacy for EE301]]
 
**[[Peer Legacy ECE301|Peer Legacy for EE301]]
Line 61: Line 61:
 
**[[Magnitude complex numbers ECE301S11|Compute the magnitude of these three complex numbers]]  
 
**[[Magnitude complex numbers ECE301S11|Compute the magnitude of these three complex numbers]]  
 
**[[Magnitude complex CT signals ECE301S11|Compute the magnitude of these two CT signals]]  
 
**[[Magnitude complex CT signals ECE301S11|Compute the magnitude of these two CT signals]]  
−
**[[Magnitude complex DT signals ECE301S11|Compute the magnitude of these three DT signals]]  
+
**[[Magnitude complex DT signals ECE301S11|Compute the magnitude of these three DT signals]]
 
*Signal Power and Energy  
 
*Signal Power and Energy  
 
**[[Signal power energy exercise CT ECE301S11|Compute the power and energy of the following CT signal]]  
 
**[[Signal power energy exercise CT ECE301S11|Compute the power and energy of the following CT signal]]  
−
**[[Signal power energy exercise DT ECE301S11|Compute the power and energy of the following DT signal]]  
+
**[[Signal power energy exercise DT ECE301S11|Compute the power and energy of the following DT signal]]
 
*Transformation of the independent variable  
 
*Transformation of the independent variable  
−
**[[Cascade time delay and time scaling CT ECE301S11|Cascade the following time delay and time scaling]]  
+
**[[Cascade time delay and time scaling CT ECE301S11|Cascade the following time delay and time scaling]]
 
*Basic Signal Properties <br>Comment: can you add an example of a memoryless system? Also a causal system?- a student <br>Sure. Here they are. -pm  
 
*Basic Signal Properties <br>Comment: can you add an example of a memoryless system? Also a causal system?- a student <br>Sure. Here they are. -pm  
 
**[[Invertibility of a system ECE301S11|Is the following system invertible?]]  
 
**[[Invertibility of a system ECE301S11|Is the following system invertible?]]  
 
**[[Stability of a system ECE301S11|Is the following system stable?]]  
 
**[[Stability of a system ECE301S11|Is the following system stable?]]  
 
**[[Memoryless system question ECE301S11|Is the following system memoryless?]]  
 
**[[Memoryless system question ECE301S11|Is the following system memoryless?]]  
−
**[[Causal system question ECE301S11|Is the following system causal?]]  
+
**[[Causal system question ECE301S11|Is the following system causal?]]
 
*Linearity and time invariance  
 
*Linearity and time invariance  
 
**[[Time invariance of a system ECE301S11|Is the following system time-invariant?]]  
 
**[[Time invariance of a system ECE301S11|Is the following system time-invariant?]]  
 
**[[Linearity of a system ECE301S11|Is the following system linear?]]  
 
**[[Linearity of a system ECE301S11|Is the following system linear?]]  
 
***Please comment on the following solution to a related problem  
 
***Please comment on the following solution to a related problem  
−
****[[Answer from a previous student Time invariance of a system please comment ECE301S11|Time-invariance of a system proved by a previous student]]  
+
****[[Answer from a previous student Time invariance of a system please comment ECE301S11|Time-invariance of a system proved by a previous student]]
 
*Computing the output of an LTI system by convolution  
 
*Computing the output of an LTI system by convolution  
 
**[[Output of LTI DT system by convolution ECE301S11|Compute the output of the following DT LTI system]]  
 
**[[Output of LTI DT system by convolution ECE301S11|Compute the output of the following DT LTI system]]  
Line 85: Line 85:
 
***[[Output of LTI DT system by convolution no6 ECE301S11|And another one]]  
 
***[[Output of LTI DT system by convolution no6 ECE301S11|And another one]]  
 
***[[Output of LTI DT system by convolution no7 ECE301S11|And another one]]  
 
***[[Output of LTI DT system by convolution no7 ECE301S11|And another one]]  
−
***[[Output of LTI DT system by convolution no8 ECE301S11|And another one]]  
+
***[[Output of LTI DT system by convolution no8 ECE301S11|And another one]]
 
**[[Output of LTI CT system by convolution ECE301S11|Compute the output of the following CT LTI system]]  
 
**[[Output of LTI CT system by convolution ECE301S11|Compute the output of the following CT LTI system]]  
 
***[[Output of LTI CT system by convolution no2 ECE301S11|Another one like this]]  
 
***[[Output of LTI CT system by convolution no2 ECE301S11|Another one like this]]  
 
***[[Output of LTI CT system by convolution no3 ECE301S11|And another one]]  
 
***[[Output of LTI CT system by convolution no3 ECE301S11|And another one]]  
−
***[[Output of LTI CT system by convolution no4 ECE301S11|And another one]]  
+
***[[Output of LTI CT system by convolution no4 ECE301S11|And another one]]
 
*Computing the Fourier series coefficients of a CT signal  
 
*Computing the Fourier series coefficients of a CT signal  
 
**[[Fourier series coefficients sinusoidal CT ECE301S11|Obtain the Fourier series coefficients of this CT sinusoidal]]  
 
**[[Fourier series coefficients sinusoidal CT ECE301S11|Obtain the Fourier series coefficients of this CT sinusoidal]]  
−
**[[Fourier series coefficients pulse train CT ECE301S11|Obtain the Fourier series coefficients of this CT pulse-train]]  
+
**[[Fourier series coefficients pulse train CT ECE301S11|Obtain the Fourier series coefficients of this CT pulse-train]]
 
*Computing the Fourier series coefficients of a DT signal  
 
*Computing the Fourier series coefficients of a DT signal  
 
**[[Fourier series coefficients sinusoidal DT ECE301S11|Obtain the Fourier series coefficients of this DT sinusoidal]]  
 
**[[Fourier series coefficients sinusoidal DT ECE301S11|Obtain the Fourier series coefficients of this DT sinusoidal]]  
−
**[[Fourier series coefficients pulse train DT ECE301S11|Obtain the Fourier series coefficients of this DT pulse-train]]  
+
**[[Fourier series coefficients pulse train DT ECE301S11|Obtain the Fourier series coefficients of this DT pulse-train]]
 
*Computing the Fourier transform of a continuous-time signal:  
 
*Computing the Fourier transform of a continuous-time signal:  
 
**[[Fourier transform etu CT ECE301S11|Compute the Fourier transform of e^-t u(t)]]  
 
**[[Fourier transform etu CT ECE301S11|Compute the Fourier transform of e^-t u(t)]]  
Line 101: Line 101:
 
**[[Fourier transform cosine no2 CT ECE301S11|Compute the Fourier transform of cos(2 pi t + pi/12).]]  
 
**[[Fourier transform cosine no2 CT ECE301S11|Compute the Fourier transform of cos(2 pi t + pi/12).]]  
 
**[[Fourier transform periodic rectangular pulse train CT ECE301S11|Compute the Fourier transform of a rectangular pulse-train]]  
 
**[[Fourier transform periodic rectangular pulse train CT ECE301S11|Compute the Fourier transform of a rectangular pulse-train]]  
−
**[[Fourier transform periodic triangular pulse train CT ECE301S11|Compute the Fourier transform of a triangular pulse-train]]  
+
**[[Fourier transform periodic triangular pulse train CT ECE301S11|Compute the Fourier transform of a triangular pulse-train]]
 
*Properties of the Fourier transform of a continuous-time signal:  
 
*Properties of the Fourier transform of a continuous-time signal:  
−
**[[Problem on time shifting and time scaling property of Fourier transform ECE301S11Boutin|Derive a relationship between the FT of x(3t+7) and that of x(t)]]  
+
**[[Problem on time shifting and time scaling property of Fourier transform ECE301S11Boutin|Derive a relationship between the FT of x(3t+7) and that of x(t)]]
 
*Computing the Fourier transform of a discrete-time signal:  
 
*Computing the Fourier transform of a discrete-time signal:  
 
**[[Fourier transform 3numinusn DT ECE301S11|Compute the Fourier transform of 3^n u[-n]]]  
 
**[[Fourier transform 3numinusn DT ECE301S11|Compute the Fourier transform of 3^n u[-n]]]  
 
**[[Fourier transform cosine DT ECE301S11|Compute the Fourier transform of cos(pi/6 n).]]  
 
**[[Fourier transform cosine DT ECE301S11|Compute the Fourier transform of cos(pi/6 n).]]  
−
**[[Fourier transform window DT ECE301S11|Compute the Fourier transform of u[n+1]-u[n-2]]]  
+
**[[Fourier transform window DT ECE301S11|Compute the Fourier transform of u[n+1]-u[n-2]]]
 
*Causal LTI systems defined by linear, constant coefficients difference equations:  
 
*Causal LTI systems defined by linear, constant coefficients difference equations:  
−
**[[Causal LTI System Difference Equation no1 ECE301S11|Example of "typical" questions on causal LTI systems defined by difference equations]]  
+
**[[Causal LTI System Difference Equation no1 ECE301S11|Example of "typical" questions on causal LTI systems defined by difference equations]]
 
*Nyquist theorem  
 
*Nyquist theorem  
 
**[[Nyquist rate for a sinc function|What is the Nyquist rate for this signal?]]  
 
**[[Nyquist rate for a sinc function|What is the Nyquist rate for this signal?]]  
−
**[[Nyquist rate for a signal ECE301S11|What is the Nyquist rate for this other signal?]]<span style="color:red"> Please look at the solution for this one prof. mimi, -ss </span>
+
**[[Nyquist rate for a signal ECE301S11|What is the Nyquist rate for this other signal?]]<span style="color: red"> Please look at the solution for this one prof. mimi, -ss </span>
  
 
:::Done. You were right. I added a few comments. I hope everything is clear now. -pm
 
:::Done. You were right. I added a few comments. I hope everything is clear now. -pm
Line 121: Line 121:
 
***And [[Samping and reconstruction of sinc multiplied by exponential no1 ECE301S11|another one]].  
 
***And [[Samping and reconstruction of sinc multiplied by exponential no1 ECE301S11|another one]].  
 
***And [[Samping and reconstruction of sinc multiplied by exponential no2 ECE301S11|another one]].  
 
***And [[Samping and reconstruction of sinc multiplied by exponential no2 ECE301S11|another one]].  
−
***And [[Samping and reconstruction of sinc multiplied by cosine ECE301S11|another one]].  
+
***And [[Samping and reconstruction of sinc multiplied by cosine ECE301S11|another one]].
 
**[[Nyquist rate after squaring sinc signals ECE301S11|What is the Nyquist rate of a sinc function multiplied by itself?]]  
 
**[[Nyquist rate after squaring sinc signals ECE301S11|What is the Nyquist rate of a sinc function multiplied by itself?]]  
−
**[[Nyquist rate after multiplicating sinc signals ECE301S11|What is the Nyquist rate of the multiplication of two sinc functions?]]  
+
**[[Nyquist rate after multiplicating sinc signals ECE301S11|What is the Nyquist rate of the multiplication of two sinc functions?]]
 
*Modulation  
 
*Modulation  
 
**[[Signal modulation with exponential ECE301S11|Demodulation of signal modulated with exponential]]  
 
**[[Signal modulation with exponential ECE301S11|Demodulation of signal modulated with exponential]]  
−
**[[Signal modulation with cosine ECE301S11|Demodulation of signal modulated with cosine]]  
+
**[[Signal modulation with cosine ECE301S11|Demodulation of signal modulated with cosine]]
 
*Z-transform  
 
*Z-transform  
 
**[[Compute z-transform u n ECE301S11|Computation of the z-transform]]  
 
**[[Compute z-transform u n ECE301S11|Computation of the z-transform]]  
Line 142: Line 142:
 
*Chapter 10: 10.1, 10.3, 10.4, 10.6, 10.7, 10.8, 10.9, 10.10, 10.11, 10.13, 10.15, 10.21, 10.22, 10.23, 10.24, 10.25, 10.26, 10.27, 10.30, 10.31, 10.32, 10.33, 10.43, 10.44.
 
*Chapter 10: 10.1, 10.3, 10.4, 10.6, 10.7, 10.8, 10.9, 10.10, 10.11, 10.13, 10.15, 10.21, 10.22, 10.23, 10.24, 10.25, 10.26, 10.27, 10.30, 10.31, 10.32, 10.33, 10.43, 10.44.
  
−
*[[ECE301_S11_Exam_3_more_practice|Student Made Problems for Final]]
+
*[[ECE301 S11 Exam 3 more practice|Student Made Problems for Final]]
 +
 
 
----
 
----
  
Line 152: Line 153:
 
**[[Media:Midterm1_ECE301_Fall06.pdf|Fall 2006]]  
 
**[[Media:Midterm1_ECE301_Fall06.pdf|Fall 2006]]  
 
**[[Media:Midterm1_ECE301_Spring07.pdf|Spring 2007]]  
 
**[[Media:Midterm1_ECE301_Spring07.pdf|Spring 2007]]  
−
***[[Media:Scan0003_ECE301Fall2008mboutin.pdf|A student solution]]  
+
***[[Media:Scan0003_ECE301Fall2008mboutin.pdf|A student solution]]
 
**[[Media:Midterm1_ECE301_Fall07.pdf|Fall 2007]]  
 
**[[Media:Midterm1_ECE301_Fall07.pdf|Fall 2007]]  
−
***[[Media:Fall20070001_ECE301Fall2008mboutin.pdf|A student solution]]  
+
***[[Media:Fall20070001_ECE301Fall2008mboutin.pdf|A student solution]]
−
**[[Media:Midterm1_ECE301_Fall08.pdf|Fall 2008]]  
+
**[[Media:Midterm1_ECE301_Fall08.pdf|Fall 2008]]
 
*Midterm 2  
 
*Midterm 2  
 
**[[Media:Midterm2_ECE301_Fall06.pdf|Fall 2006]]  
 
**[[Media:Midterm2_ECE301_Fall06.pdf|Fall 2006]]  
 
***[[Midterm Exam Div 2 Fall 2006 Solution ECE301Fall2008mboutin|A student solution with instructor's comments]]  
 
***[[Midterm Exam Div 2 Fall 2006 Solution ECE301Fall2008mboutin|A student solution with instructor's comments]]  
−
***[[Midterm Exam Div 2 Fall 2006 scanned Solution ECE301Fall2008mboutin|Another student solution (scanned)]]  
+
***[[Midterm Exam Div 2 Fall 2006 scanned Solution ECE301Fall2008mboutin|Another student solution (scanned)]]
 
**[[Media:Midterm2_ECE301_Spring07.pdf|Spring 2007]]  
 
**[[Media:Midterm2_ECE301_Spring07.pdf|Spring 2007]]  
 
**[[Media:Midterm2_ECE301_Fall07.pdf|Fall 2007]]  
 
**[[Media:Midterm2_ECE301_Fall07.pdf|Fall 2007]]  
 
***[[Media:Exam2_Fall07_Yimin.pdf|Current student solution: Can you grade it if you have time? Thanks!]]  
 
***[[Media:Exam2_Fall07_Yimin.pdf|Current student solution: Can you grade it if you have time? Thanks!]]  
−
****[[Media:Solution_Exam2_Fall07_Yimin.pdf|Yes, here is the greaded version. -pm]]  
+
****[[Media:Solution_Exam2_Fall07_Yimin.pdf|Yes, here is the greaded version. -pm]]
−
**[[Media:Midterm2_ECE301_Fall08.pdf|Fall 2008]]  
+
**[[Media:Midterm2_ECE301_Fall08.pdf|Fall 2008]]
 
*Midterm 3  
 
*Midterm 3  
 
**[[Media:Midterm3_ECE301_Fall06.pdf|Fall 2006]]  
 
**[[Media:Midterm3_ECE301_Fall06.pdf|Fall 2006]]  
 
**[[Media:Midterm3_ECE301_Spring07.pdf|Spring 2007]]  
 
**[[Media:Midterm3_ECE301_Spring07.pdf|Spring 2007]]  
 
**[[Media:Midterm3_ECE301_Fall07.pdf|Fall 2007]]  
 
**[[Media:Midterm3_ECE301_Fall07.pdf|Fall 2007]]  
−
**[[Media:Midterm3_ECE301_Fall08.pdf|Fall 2008]]  
+
**[[Media:Midterm3_ECE301_Fall08.pdf|Fall 2008]]
 
*Final  
 
*Final  
 
**[[Media:Final_ECE301_Fall06.pdf|Fall 2006]]  
 
**[[Media:Final_ECE301_Fall06.pdf|Fall 2006]]  
Line 197: Line 198:
  
 
*Midterm 1  
 
*Midterm 1  
−
**[[EXAM1 ECE301 Spring2011 Prof Boutin Statistics|Statistics]]  
+
**[[EXAM1 ECE301 Spring2011 Prof Boutin Statistics|Statistics]]
 
*Midterm 2  
 
*Midterm 2  
 
**[[EXAM2 ECE301 Spring2011 Prof Boutin Statistics|Statistics]]
 
**[[EXAM2 ECE301 Spring2011 Prof Boutin Statistics|Statistics]]
Line 264: Line 265:
 
|-
 
|-
 
| 12  
 
| 12  
−
|  
+
| [[Biomedical Applications of ECE301]]
−
Biomedical Applications of ECE301  
+
−
 
+
−
OR
+
−
 
+
−
Fourier Transform Extra Examples (emphasis on DT)
+
−
 
+
 
| Kara Ellspermann
 
| Kara Ellspermann
 
|-
 
|-
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|}
 
|}
  
−
 
+
<br>
  
 
----
 
----
  
−
 
+
<br>[[Course List|Back to semester/instructor specific course wiki lists]]  
−
[[Course List|Back to semester/instructor specific course wiki lists]]  
+
  
 
[[ECE301|Back to ECE301]]  
 
[[ECE301|Back to ECE301]]  
  
 
[[Category:ECE301Spring2011Boutin]]
 
[[Category:ECE301Spring2011Boutin]]

Revision as of 18:48, 29 April 2011

ECE301:"Signals and Systems", Spring 2011, Professor Boutin

Message Area:

1. The TA will be holding extra office hours today (Thursday) from 4:30-6:00 in EE 238.

2. Note the change in my office hours on Friday April 22 (day of the test).

3. Practice problems on Nyquist rate have been added below. (Two of them will help you practice convolving two window functions, as discussed in class on Monday).

4. A list of supplementary problems for Chapter 9 and Chapter 10 has been added below.

Course Information

  • Instructor: Prof. Mimi
  • Teaching Assistant: Imad Ahmad
    • Email: ahmadi@purdue.edu
    • Office: EE 238
    • Office Hours: TR 12:00-2:00
  • Schedule
  • Course Syllabus
  • Important Dates:
    • Test 1, Wednesday Feb 16, 2011
    • Test 2, Friday March 25, 2011
    • Test 3, Friday April 22, 2011
    • Final, TBD
  • What previous students have to say about this course:

News

  • As requested by some students, I added three problems to practice CT convlution, and two problems for practicing basic signal's properties. -pm
  • As you know, Purdue was closed today Wednesday February 2, 2011. The lecture for that day was given in electronic format. See this page. -pm

Lecture Blog

The lecture blog will be written by your instructor. Feel free to add comments, questions, relevant links, etc.

Lecture 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24 25, 26, 27, 28, 29, 30, 31, 32

Lecture Notes

Practice Problems

Done. You were right. I added a few comments. I hope everything is clear now. -pm

Supplementary Problems from the Course book (Oppenheim-Willsky-Nawab)

Note: these should only be attempted once you have completely solved and fully understood all the practice problems listed above and all the homework problems.

  • Chapter 9: 9.1, 9.2, 9.3, 9.4, 9.6, 9.7, 9.8, 9.9, 9.12, 9.13, 9.14, 9.15, 9.21, 9.22, 9.23, 9.26, 9.27, 9.29, 9.30, 9.31, 9.33, 9.34, 9.35, 9.41, 9.42, 9.43, 9.44a)b), 9.45, 9.46, 9.47, 9.48.
  • Chapter 10: 10.1, 10.3, 10.4, 10.6, 10.7, 10.8, 10.9, 10.10, 10.11, 10.13, 10.15, 10.21, 10.22, 10.23, 10.24, 10.25, 10.26, 10.27, 10.30, 10.31, 10.32, 10.33, 10.43, 10.44.

Practice Exams

Please feel free to scan and post your solutions. Your instructor will try to grade them and post the graded version.

Homework

Exams

Relevant Resources

Your turn! A bonus point opportunity

All ECE301 students in Prof. Mimi's section have the opportunity to earn up to a 3% bonus on their course grade by contributing a Rhea page on a subject related to signals and systems. Examples of subjects are listed below. Feel free to come up with your own. To pick a subject, write your name next to it in the table below. Then when you begin writing your page, also post a link to it in the appropriate space (where it says "put link to your page here"). Your page will be graded based on content as well as interactions with other people (page views, comments/questions on the page, etc.). The number of links to other courses and subjects will also be taken into account: the more the merrier! Please do not simply copy the lecture notes and do not plagiarize. Read Rhea's copyright policy before proceeding.

Topic Number Topic Description Student Name
1 Theory and Applications of Linearity (put link to your page here) your name
2 A video tutorial on convolution (put link to your page here) your name
3 Sound processing ECE301 techniques (put link to your page here) your name
4 Beyond complex exponentials: other series expansions for functions (put link to your page here) your name
5 Video Tutorial on How to Cascade Transformations of the Independent Variable Richard Gieseck
6 Lecture Notes Ethan Hall
7 Table of CT Fourier series coefficients and properties Carolyn McMican
8 Table of DT Fourier series coefficients and properties (include some computations and proofs if you are really brave Hale Petersen
9 A video lecture on the Fourier transform. What is the Fourier transform? What does it do? Why do we need it? etc. your name
10 Add onto our collective tables of CT Fourier transforms and DT Fourier transforms, and link formulas to related Rhea pages. David Baer
11 Review of an Alternate Textbook Carolyn McMican
12 Biomedical Applications of ECE301 Kara Ellspermann
13 Complex Exponential and Sinusoidal Amplitude Modulation Michael Gardner
14 Review of an alternate book Artyom Melanich



Back to semester/instructor specific course wiki lists

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