ECE 220 – Signals and Systems I
Fall 2014
Lecture: Tuesday/Thursday, 4.30-5.45 PM, Planetary Hall 131
Course Instructor: Janos Gertler
ENGR, Room 3211, jgertler@gmu.edu, 993-1604
Office hours: Tuesday, Thursday, 3.00-4.00 PM.
Lab: four sections
Recitation: three sections
Grader: TBA
Lab Instructors: TBA
Recitation Instructors: TBA
Prerequisite: C or better in ECE 201
Corequisites: MATH 203 and 214
Textbooks:
1. Lecture Notes by Janos Gertler
2. Signals and Systems (Second Edition), by Alan V. Oppenheim and Alan S. Willsky,
Prentice-Hall, 1997. (This same book will be used in ECE 320.)
3. Introduction to Electric Circuits (8th Edition), Dorf and Svoboda, Wiley, 2010 (This same
book is used in ECE 280.)
Goals: the course introduces the students to some of the basic concepts and mathematical
techniques of signals and systems, that provide the foundations to further studies and practice in
various areas of electrical engineering, including circuit analysis, signal processing, communication
and control. Theoretical work is supplemented with hands-on laboratory exercises in MATLAB.
Subjects:
Part I. (book: Oppenheim and Willsky, chapters 1 and 2)
Basic signal and system properties
Linear time-invariant systems, convolution, impulse response and properties
Differential equation description of time-invariant systems
Part II (book: Dorf and Svoboda, chapter 14)
Laplace transformation, definition, properties
Inverse Laplace transformation
Convolution property
Laplace transform solution of differential equations
Part III (book: Oppenheim and Willsky, chapters 3 and 4)
Fourier series expansion of periodic signals
Frequency response
Basic filtering
Fourier transform of continuous-time signals
Course work:
Lecture, two 75 minute sessions per week
Recitation, one 50 minute session per week
Laboratory, one 110 minute session per week
Homework, assigned every week, collected one week later
6 laboratory assignments
Two midterm exams and a final, in-class, 75 minutes each, covering Part I, II and III.
Exams are closed book/notes. One sheet of notes (8.5”x11”, one sided) may be used for formulas
(no worked-out examples), and must be attached to the test. Calculators, in general, are not
allowed (exception will be announced). George Mason’s Honor Code is to be observed.
Open laptops/tablets are not allowed during the lectures.
Course grade:
Exams 3x20%
Lab projects 6x5%
Homework
60%
30% (individual work required!)
10% (individual work required!)
Lab projects:
1.
2.
3.
4.
5.
6.
Basic signals and signal manipulations
Convolution
Analysis of first-order system
Analysis of second-order system
Periodic signals, Fourier series
Frequency response, filtering
Week-by-week lecture schedule (tentative):
Aug.
Sep.
26 and 28
2 and 4
9 and 11
16 and 18
23 and 25
Sep. 30 and Oct and 2
Oct. 7 and 9
14 and 16
21 and 23
Oct. 28 and 30
Nov. 4 and 6
11 and 13
18 and 20
25 and 27
Dec. 2 and 4
Basic signal properties
Basic system properties
Impulse response, convolution
Convolution, differential equations
Differential equation solution. Laplace transform definitions
Laplace transform properties. Inverse Laplace transform
Midterm I (0ct. 7). Inverse Laplace transform
Columbus Day recess (Oct. 14). Convolution property
Laplace transform solution of differential equations
Periodic signals, Fourier series
Frequency response
Midterm II (Nov.11), Filtering
Fourier transform basics. Fourier transform properties
Transform of periodic signals. Thanksgiving recess (Nov. 22)
Parseval’s relation. Convolution and multiplication properties
Dec. 16, 4.30-7.15 PM
Final exam