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

Message Area:

1. Would any of the students who attended yesterday's office hour be interested in earning some extra credit for making a video of the trick I showed for remembering the values of sine and cosine of some angles? -pm

2. Check out these videos explaining signal modulation!

## 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:

## Relevant Resources

- Rhea's Collective Table of Formulas.
- Video Extract of a talk by Prof. Joe Havlicek explaining the meaning of the Fourier transform very clearly using music.

## 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)

## Discussions

- Suggested times for review session:

===

- I suggest Wednesday at 3:30 or any time on Tuesday --Kellsper 22:47, 1 May 2011 (UTC)
- Any time Tuesday or Wednesday after 4 works best for me --Ssanthak 10:46, 2 May 2011 (UTC)
- OK, thanks for the input. How about Wednesday 5-5:45. -pm?

- That sounds good for me and Kara --Ssanthak 19:03, 2 May 2011 (UTC)
- Ok, let's do it then. -pm

- Where would this review session be? --Srigney 18:41, 3 May 2011 (UTC)
- I will just hold it in my office (MSEE342). If too many people show up, we will go to my lab (MSEE393). This will not be a formal review session: I will answer all the questions you have and go over the material you ask me to go over. -pm

Can a problem similar to Exam 2, Question 2 be posted using a CT signal rather than a DT signal? Thanks -cp

## Practice Problems

- Review of complex numbers
- Signal Power and Energy
- Transformation of the independent variable
- Basic Signal Properties

Comment: can you add an example of a memoryless system? Also a causal system?- a student

Sure. Here they are. -pm - 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

- Computing the output of an LTI system by convolution
- Computing the Fourier series coefficients of a CT signal
- Computing the Fourier series coefficients of a DT signal
- Computing the Fourier transform of a continuous-time signal:
- Properties of the Fourier transform of a continuous-time signal:
- Computing the Fourier transform of a discrete-time signal:
- Causal LTI systems defined by linear, constant coefficients 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?

- Can you post a question similar to number 2 on the homework?-mm
- Modulation
- 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
- Midterm 2
- Midterm 3
- Final

## 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
- Midterm 2

## 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 | Kaylee Joseph |

2 | A video tutorial on convolution | Sachin Santhakumar |

3 | Sound processing ECE301 techniques (put link to your page here) | your name |

4 | Book Review of "Shaum's Outlines of Signals and Systems" | Bhakti Khandagale |

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 | Fourier Transform Video | Ben Winski |

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 |