Professor Gerald Cook Science & Technology II - 255 (703) 993-1699GEORGE MASON UNIVERSITYSCHOOL OF INFORMATION TECHNOLOGY AND ENGINEERINGDEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERINGECE 220 Signals and Systems I Fall 2004Professor Gerald Cook Science & Technology II - 255 (703) 993-1699OFFICE HOURS: Tuesday: 3:00- 4:30, Wednesday: 3:00-4:30, Other times as necessary by appointmentGTA for Homework: Swethana Pagadala [email protected] for Labs: Vamsi Krishna Teladevalapalli [email protected] (2 sections) and Shyam Pandula, [email protected] (2 sections)GTA for Recitations: Shyam Pandula [email protected] (sections 301 and 303 ) Swethana Pagdala [email protected] (section 302)Lab Web address: http://ece.gmu.edu/~gbeale/ece_220/labs/lab_220_f02.htmlREQUIRED Linear Dynamic Systems and Signals by Zoran Gajic, PrenticeTEXT: Hall, 2003, Chapters 1-4, 6-7.HONOR CODE AND EXAM POLICY: All students are expected to abide by the George Mason University Honor Code. Sharing of ideas and comparison of answers on homework is acceptable and encouraged, but copied work will not be accepted. All tests and the final exam will be closed book and closednotes unless specifically stated otherwise by the Instructor. All work must be your own. Any reasonable suspicion of an honor violation will be reported. Students must arrive in class within 15 minutes of the scheduled starting time for all tests and exams. Students arriving later than 15 minutes after the scheduled starting time will not be allowed to take the test/exam and will receive a grade of 0 for the test/exam.OBJECTIVES:1. Introduce the students to the basic types of signals and systems encountered in engineering and to the important properties of these systems.2. Introduce the students to methods of characterizing and analyzing continuous-time signals and systems in the frequency domain.3. Introduce the students to methods of characterizing and analyzing continuous-time signals and systems in the time domain.GRADING: 2 Tests 40%Homework 15%Lab 20%Final Exam 25% TEST SCHEDULE Test 1 Thursday, Oct. 7Test 2 Thursday, Nov 18Final Exam Tuesday, Dec 14, 10:30 a.m. - 1:15 p.m. No class October 12th, Monday classes meet this day.COURSE OUTLINE Chapter 1 Introduction to signals and systems, overview and outline of the course, signals and systems -- their definitions and mathematical representations - 1 class period. Chapter 2 Basic waveforms, impulse function, step function, ramps, parabolas. Derivative/integral relationships between certain signals, representation of various waveforms using the basicsignals as building blocks. - 1 class period.Chapter 3 Periodic signals and their representation as a sum of sinusoids or a sum of complex exponentials, i.e., the Fourier Series. One-sided and two-sided frequency spectrum of periodic signals.-3 class periods. Transition from periodic signals to aperiodic signals and the derivation of the Fourier Transform from the Fourier Series. Frequency spectrum for aperiodic signals. System transfer functions.-5 class periodsChapter 4 Laplace transforms, transforms of signals, inverse transforms of signals, partial fraction expansion, transfer functions of systems-6 class periodsNotes Steady-state response of systems to sinusoidal inputs using Laplace Transform- 1 class Notes Bode plots for systems and asymptotic approximations- 2 class period.Chapter 6 Convolution methods.-1 class periodChapter 7 Time domain methods for system response to signals. .-2 class periods System stability –2 class periodsChapter 8 State-Space Methods for systems analysis -2 class periodsHomework AssignmentsHomework Solutions: http://ece.gmu.edu/courses/ECE220/HWsolutions.htmHomework Assignments: Homework is due on Tuesday of the week following the assignment date 1. Reading: pages 1-27, 33-58 Problems 2.1a, 2.5 a,c 2.6, 2.7 a,b, 2.8, 2.22 a,b, 2.33, 2.34 2. Reading: pages 73-84 Problems 3.1, 3.3, 3.4, 3.5 3. Reading: pages 85-102 Problems 3.7 a,b,c, 3.8 a,b,c, 3.9 a,b, 3.14 b, 3.16 4. Reading: pages 103-118 Problems 3.18b, 3.19, 3.20, 3.26, 3.30, 3.32 5. Reading: pages 119-127, 143-148 Problems 3.41, 3.44, 3.48, 3.59, 4.1, 4.7a, 4.8d 6. Reading: pages 148-153, Test 1 Problems 4.9b, 4.11a,b,d, 4.13, 4.14a,b, 4.16, 4.17, 4.20 c,d 7. Reading: pages 153-165 Problems 4.25 a,d, 4.26 a,b, 4.30b, 4.36 8. Reading: pages 165-181 Problems 4.38a, 4.39, 4.45, 4.50, 4.51 9. Reading: pages 181-189, Notes Problems 4.52, 4.54, 4.56, To be assigned, sinusoidal response10. Reading: Notes, pages 279-287 Problems to be assigned on Bode plots 11. Reading: pages 288-295, Test 2 Problems 6.2, 6.3, 6.8b12. Reading: pages 318-349 Problems 7.3a, 7.6a, 7.7a, 7.10a13. Reading: pages 352-398 Problems 7.35 a,c,e, 7.36 a,b,d, 7.39a,c14. Reading: pages 398-411 No homework