ELEC 310: Digital Signal Processing, Spring 2010

 

Instructor: Dr. Alexandra Branzan Albu email: aalbu at uvic dot ca

 

Lectures: Tuesday, Wednesday, Friday, 10:30-11:20 am ECS 125

Office hours: Mondays and Wednesdays, 2:00-3:00 pm ECS 631 or by appointment

 

Course Outline

 

News

Office hours for final exam: Tuesday April 13 9:30 am-12:00 am.

 

Assignments and exams

Assignment 1 (posted on January 15, due January 22nd)

Assignment 2 (posted on February 9, due February 24)

Assignment 3 (posted on February 26, due on March 5)

Assignment 4 (posted on March 18, due on March 25)

Assignment 5 (posted on April 1, due on April 8)

 

Tables to be provided for the final exam

 

Marks

All marks

 

Solutions and solved examples

 Quiz 1 solution

 Assignment 1 solution

 Assignment 2 solution

 Assignment 3 solution

 Assignment 4 solution

 Assignment 5 solution

 Midterm part A

 Midterm part B

 Midterm solution(both parts)

 

 Solutions to selected problems from Chapter 2.

2.2, 2.29 convolution

2.7 periodicity analysis

2.18, 2.19 properties of LTI systems

2.20 connections of LTI systems and examples of convolutions computed with 2nd graphical method

            Quiz review examples

            Moving average filter (example from L12)

            Solutions to selected problems from Chapter 3 (3.1 to 3.20)

            Example 2 from L19

            Examples from the midterm review lecture

            Solutions to selected problems from Chapter 6

            Solutions to selected problems from Chapter 4

  

           Additional materials

               Excerpt from IEEE Potentials (Jan 2010) about Signals and Systems

           Engineering Math First Aid Kit (contains explanations and examples regarding Partial Fraction Expansion)

 

Calendar (subject to change)

 

Week

Lecture Notes

1. Jan 4–10

L1. Introduction

L2. Review of complex numbers

L3. Discrete-time signals

 

Additional readings:

Review of complex numbers (excerpt from 2004 MIT Tutorial 1, Signals and Systems)

Signal energy and power (excerpt from Oppenheim and Willsky, Signals and Systems)

Transformations of the independent variable (multiple transformations)

2. Jan 11-17

L4. Discrete-time signals and systems.

L5. LTI systems. The convolution sum.

L6. Properties of LTI systems.

 

Additional readings: example of convolution computation using the 2nd method

 

Assignment 1posted on Jan 15.

3. Jan 18-24

L7. Properties of LTI systems (cont’d)

L8. Linear Constant-Coefficient Difference Equations (LCCDE)

L9. Eigenfunctions of LTI systems

Assignment 1 due on Jan 22.

4. Jan 25 – 31

L10. Quiz review

L11. QUIZ (Jan 27, in-class).

L12. Frequency domain representation of DT signals and systems

5. Feb 1-7

L13. Representation of sequences by Fourier Transforms (section 2.7)

L14. Fourier Transform Computations

L15. Properties of the Fourier Transform

 

6. Feb 9-15

L16. Properties of the Fourier Transform (cont’d)

L17. Solving difference equations with the Fourier transform

L18. The Z-Transform. Definition and convergence

 

Assignment 2 posted on Feb 9.

 

7. Feb 15-21

Reading break

8. Feb 22-28

L19. The Z-Transform. ROC properties.

L20. The inverse Z-Transform. Z-Transform properties

Assignment 3 posted on Feb 26.

9. March 1-7

L21: Z transform and LTi systems

L22: Sampling.

L23. Midterm review

 

10. March 8-14

L24. Midterm part A (March 9, in-class)

L25. Midterm part B (March 10, in-class)

L26. Sampling. Reconstruction of a CT signal from its samples.

 

11. March 15-21

L27. Discrete-time processing of CT signals (no slides)

L28. Discrete-Time processing of CT signals (cont’d)

L29. Sampling of Discrete-Time Signals

Reading for L29.

Assignment 4 posted on March 16

12. March 22-28

L30.Structures for DT Systems. Block diagrams.

L31. Block diagrams (cont’d)

L32. Invited Lecture on audio signal processing: Dr. George Tzanetakis

From rat laughter to speed metal: a personal history of phase vocoding

Assignment 4 due on March 24, 4:00 pm

13. March 29- April 4

L33. Signal flow graphs.

L34. Signal flow graphs (cont’d)

Assignment 5 posted on April 1.

14. April 5-9

L35-36. Final course review.

Assignment 5 due on April 8 4 pm.