ECE 220 Signals and Systems I

ECE 220 – Signals and Systems I Fall 2011 Lecture: Tuesday, Thursday, 3.00-4.15, Lecture Hall 2 Lab: Monday, 9.30-11.20, 2.30-4.20, both in ENGR 1204 Recitation: Friday 11.30-12.20, 3.30-4.20, both in E121 Course Instructor: Janos Gertler ENG, Room 3211, [email protected], 993-1604 Office hours: Tuesday, Thursday, 1.30-2.30 Grader: TBA Lab Instructors: TBA Recitation Instructors: TBA

Prerequisite: C or better in ECE 201 Corequisites: MATH 203 and 214 Textbooks: 1. 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.) 2. 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, communications 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 half sheet of notes (5.5”x8.5”, 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 are not allowed during the lectures.

Course grade: Exams 3x20% 60% Lab projects 6x5% 30% (individual work required!) Homework 10% (individual work required!) Lab projects: 1. Basic signals and signal manipulations 2. Convolution 3. Analysis of first-order system 4. Analysis of second-order system 5. Periodic signals, Fourier series 6. Frequency response, filtering

Week-by-week lecture schedule (tentative): Aug. 30 and Sep. 1 Basic signal properties Sep. 6 and 8 Basic system properties 13 and 15 Impulse response, convolution 20 and 22 Convolution, differential equations 27 and 29 Differential equation solution. Laplace transform definitions Oct. 4 and 6 Laplace transform properties. Inverse Laplace transform Oct. 11 and 13 Columbus day recess (Oct. 11). Midterm I (0ct. 13), 18 and 20 Inverse Laplace transform. Convolution property 25 and 27 Laplace transform solution of differential equations Nov. 1 and 3 Periodic signals, Fourier series 8 and 10 Frequency response 15 and 17 Midterm II (Nov.15), Filtering 22 and 24 Fourier transform basics. Thanksgiving recess (Nov. 24) 29 and Dec. 1 Fourier transform properties. Transform of periodic signals Dec. 6 and 8 Parseval’s relation, Convolution and multiplication properties Dec. 15, 1.30-4.15 Final exam