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

Course Information

• Instructor: Prof. Mimi
  • Office: MSEE 342
  • Office hours are listed here.
• 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:
  • Peer Legacy for EE301

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

• Lecture notes by Ethan Hall
• Instructor's notes for Lecture 10 (online lecture due to bad weather)

Practice Problems

• Review of complex numbers
  • Compute the magnitude of these three complex numbers
  • Compute the magnitude of these two CT signals
  • Compute the magnitude of these three DT signals
• Signal Power and Energy
  • Compute the power and energy of the following CT signal
  • Compute the power and energy of the following DT signal
• Transformation of the independent variable
  • Cascade the following time delay and time scaling
• Basic Signal Properties
  Comment: can you add an example of a memoryless system? Also a causal system?- a student
  Sure. Here they are. -pm
  • Is the following system invertible?
  • Is the following system stable?
  • Is the following system memoryless?
  • Is the following system causal?
• Linearity and time invariance
  • Is the following system time-invariant?
  • Is the following system linear?
    • Please comment on the following solution to a related problem
      • Time-invariance of a system proved by a previous student
• Computing the output of an LTI system by convolution
  • Compute the output of the following DT LTI system
    • Another one like this
    • And another one
    • And another one
    • And another one
    • And another one
    • And another one
    • And another one
  • Compute the output of the following CT LTI system
    • Another one like this
    • And another one
    • And another one
• Computing the Fourier series coefficients of a CT signal
  • Obtain the Fourier series coefficients of this CT sinusoidal
  • Obtain the Fourier series coefficients of this CT pulse-train
• Computing the Fourier series coefficients of a DT signal
  • Obtain the Fourier series coefficients of this DT sinusoidal
  • Obtain the Fourier series coefficients of this DT pulse-train
• Computing the Fourier transform of a continuous-time signal:
  • Compute the Fourier transform of e^-t u(t)
  • Compute the Fourier transform of cos(2 pi t).
  • Compute the Fourier transform of cos(2 pi t + pi/12).
  • Compute the Fourier transform of a rectangular pulse-train
  • Compute the Fourier transform of a triangular pulse-train
• Properties of the Fourier transform of a continuous-time signal:
  • Derive a relationship between the FT of x(3t+7) and that of x(t)
• Computing the Fourier transform of a discrete-time signal:
  • Compute the Fourier transform of 3^n u[-n]
  • Compute the Fourier transform of cos(pi/6 n).
  • Compute the Fourier transform of u[n+1]-u[n-2]
• Causal LTI systems defined by linear, constant coefficients difference equations:
  • Example of "typical" questions on causal LTI systems defined by difference equations
• Nyquist theorem
  • What is the Nyquist rate for this signal?
  • What is the Nyquist rate for this other signal? Please look at the solution for this one prof. mimi, -ss

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

• • Can you post a question similar to number 2 on the homework?-mm
    • Here is one.
    • Here is another one.
    • And another one.
    • And another one.
    • And another one.
  • What is the Nyquist rate of a sinc function multiplied by itself?
  • What is the Nyquist rate of the multiplication of two sinc functions?
• Modulation
  • Demodulation of signal modulated with exponential
  • Demodulation of signal modulated with cosine
• Z-transform
  • Computation of the z-transform
  • Another computation of the z-transform
  • Computation of the inverse z-transform
  • Another computation of the inverse z-transform

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.

• Midterm 1
  • Fall 2006
  • Spring 2007
    • A student solution
  • Fall 2007
    • A student solution
  • Fall 2008
• Midterm 2
  • Fall 2006
    • A student solution with instructor's comments
    • Another student solution (scanned)
  • Spring 2007
  • Fall 2007
    • Current student solution: Can you grade it if you have time? Thanks!
      • Yes, here is the greaded version. -pm
  • Fall 2008
• Midterm 3
  • Fall 2006
  • Spring 2007
  • Fall 2007
  • Fall 2008
• Final
  • Fall 2006
  • Spring 2007
  • Fall 2007
  • Fall 2008

Homework

• HW1, due Wednesday January 19, 2011. Hw1 discussion page (Solutions) Grading
• HW2, due Wednesday January 26, 2011. hw2 discussion page (Solutions) Grading
• HW3, due Monday Feb. 7, 2011. hw3 discussion page (Solutions) Grading
• HW4, due Monday Feb. 14, 2011. hw4 discussion page (Solutions) Grading
• HW5, due by 6pm Wednesday March 2, 2011. hw5 discussion page (Solutions)
• HW6 (peer review of HW5), due by 6pm Friday March 11, 2011. hw6 discussion page
• HW7, due by 23:59:59 Wednesday March 16, 2011. hw7 discussion page, solutions
• HW8 (peer review of HW7), due by 6pm Wednesday March 23, 2011. hw8 discussion page
• HW9, due in class Wednesday April 6, 2011. hw9 discussion page (Solutions)
• HW10, due by 6pm Wednesday April 13, 2011. hw10 discussion page (Solutions)
• HW11 (peer review of HW10), due by 6pm Wednesday April 20, 2011. hw11 discussion page

Exams

• Midterm 1
  • Statistics
• Midterm 2
  • Statistics

Relevant Resources

• Rhea's Collective Table of Formulas.

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.

Professor Mimi, a few weeks ago we discussed both options on (12)^ above.  Let me know if either or both of these are acceptable... or I could even do FT examples to go with the BME applications. - Kara

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