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