elec 361 signals and systems - Department of ECE

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CONCORDIA UNIVERSITY

DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING

ELEC 361 SIGNALS AND SYSTEMS

FALL 2003

Lecture Information

Section U: Lecturer : Dr. Amir G. Aghdam

Lectures: Tues. & Thurs. 11:45-13:00, H-531

Email: aghdam@ece.concordia.ca, URL: www.ece.concordia.ca/~aghdam

Office Hours: Tuesdays and Wednesdays 15:30-17:00

Section W: Lecturer : Dr. Ali Ghrayeb

Lectures: Wed. & Fri. 11:45-13:00, H-407

Email: aghrayeb@ece.concorida.ca

Office Hours: Wednesdays and Fridays 10:30-11:30

Course Objectives

The objective of this course is to apply knowledge of mathematics (namely algebra and calculus, complex variables and series) and engineering (basic circuits) to make important insights on the signals (that is a stream of data) and the systems (that process signals). Various classes of signals and systems will be introduced with a special focus on the important subclasses.

This course is basic to the field of communications (ELEC 461 and subsequent courses), control (ELEC 372 and subsequent courses) and signal processing (ELEC

442).

Prerequisite

ELEC 261 Complex Variables.

Assignments

Homework is an essential part of this course. There will be eleven weekly assignments and the best ten marks you receive will form 10% of the final grade.

Homework will be assigned every Friday and will be collected the following Friday.

Late homework will not be accepted.

Each homework will consist of two sets of problems: required and optional. All problems will be corrected by the TA but only the required problems will be marked.

Exams

There will be one midterm in addition to the final comprehensive examination. There will be no make-up exams.

All exams will be closed book. However the students are permitted to bring in with them one 8.5*11 inch sheet of paper, written on both sides. Anything may be written on this paper. Students may photocopy things and tape/glue them to their crib sheet.

However the taping/gluing must be on all 4 corners so that the attachment is not a

"flap" that can be lifted up and more written underneath. The surface area available is only for the one 8.5*11inch piece of paper. Only non-programmable calculators are allowed.

Grading

Homework

Midterm

Final Exam

10%

25%

65%

Textbook

Signals and Systems by Alan V. Oppenheim, Alan S. Willsky and S. Hamid Nawab,

2 nd

Edition, Prentice-Hall, 1997

Other References

Signals, Systems, and Transforms by Charles L. Phillips, John M. Parr and Eve A.

Riskin, 3 rd

Edition, Prentice-Hall, 2003.

Signals and Systems by Simon Haykin and Barry Van Veen, 2 nd

Edition, Wiley,

2003.

Signals and Systems by M. J. Roberts, McGraw-Hill, 2004.

Course Schedule

DATE

Week 1

Ch. 1

Week 2

2.1-2.3

TOPIC

Signals, Continuous vs. discrete, Elementary signals. Systems, continuous vs. discrete. System properties.

Discrete and continuous convolution. Properties of LTI systems.

Assignment

Homework 1

Homework 2

Week 3

2.4, 3.0-3.3

Week 4

3.4-3.7

Week 5

Ch. 4

Week 6

Ch. 5

Difference equations and differential equations for causal LTI systems. Fourier series for continuous signals.

Fourier series for discrete signals.

Continuous-time Fourier transform. Properties of the Fourier transform.

Discrete-time Fourier transform.

Homework 3

Homework 4

Homework 5

Homework 6

Review and Midterm Exam

Sampling and reconstruction Homework 7 Week 8

7.1-7.4

Week 9

9.0-9.5

Week 10

9.6-9.10

Week 11

10.0-10.5

Week 12

10.6-10.10

Laplace transform. Region of convergence, inverse Laplace transform. Pole-zero plots and relationship with Fourier transform. Properties of Laplace transform.

Analysis of LTI systems using Laplace transform. Relationship to LCC differential equations, unilateral Laplace transform. z -Transform. Region of convergence, inverse z -transform. Pole-zero plots and relationship with Fourier transform. Properties of z -transform.

Analysis of LTI systems using z -transform. Relationship to LCC difference equations, unilateral z -transform.

Final Exam

Homework 8

Homework 9

Homework 10

Homework 11

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