San José State University, College of Engineering, Electrical Engineering Department, EE210-2, Linear Systems Theory, Fall 2012 Instructor: Prof. Essam A. Marouf Office Location: ENG353 Telephone: (408) 924-3969 Email: essam.marouf@sjsu.edu Office Hours: M&W 2:00-4:00 pm Class Days/Time: M&W 6:00-7:15 pm Classroom: ENG341 Prerequisites: Graduate Standing EE210-2 Website There will be a website for this section of EE210 hosted by SJSU D2L (Desire-2-Learn). It’s accessible through your account on http://sjsu.desire2learn.com. Only formally registered students can access the D2L website. Course Description Comprehensive overview of signals and linear systems with discrete-time emphasis. System attributes. Time, frequency, and state space representation. Fourier transform families. Twosided Z-and Laplace transforms. Sampling. Filtering and realization structures. Efficient computation. Selected applications. Specific topics covered in EE210-2 include: 1- Discrete-time signals and systems 2- Linear and time-invariant (LTI) systems 3- Discrete-time Fourier transform & properties 4- Convolution and correlation 5- The Z-transform & properties 6- Frequency response and pole/zero relationship 7- Example FIR & IIR filters; linear-phase filters 8- Cascade, parallel, and state space filter realization 9- Fourier transform of continuous-time signals & properties 10- Sampling & reconstruction of continuous-time signals 11- The Discrete Fourier Transform (DFT) and fast implementations (FFT) 12- Continuous-time signals and systems in the complex frequency domain 13- Time, frequency, and state space representation of continuous-time systems 14- Selected applications EE210-2, F12: Greensheet 2 Course Goals and Student Learning Objectives (LO) LO1: To learn how to analytically and numerically calculate spectra of continuous-time and discrete-time signals from various Fourier transform definitions and transform properties. LO2: To learn how to infer from signals and their spectra basic attributes including energy, power, width, moments, among others. LO3: To learn how to analytically and numerically perform basic signal operations such as convolutions, and correlations in either the time or frequency domain and to relate such operations to real-life applications. LO4: To learn how to assess various system attributes such as linearity, shift invariance, causality, and stability, and to understand their relationship to the system function. LO5: To learn how to analyze the time and frequency responses of linear shift invariant systems to aperiodic and periodic temporal or spatial input signals both in the realfrequency and complex-frequency domains. LO6: To relate the developed analysis methodologies to real-life applications such as filtering, sampling, imaging, control, communications, bio, signal processing, among others. Required & Recommended Texts/Software Required: 1- Discrete-Time Signal Processing, 3rd Ed., by Oppenheim and Schafer, Pearson/Prentice-Hall 2010 (comprehensive coverage of discrete-time linear systems). This text is available at the Spartan Bookstore and from many online sites. The course covers selected sections of Chapters 2 to 9 (see reading assignments at the end of this handout). The 2nd Editions of the book overs most of the course material and should also be adequate. The homework problems are assigned from the 3rd Ed., however. 2- The textbook above will be supplemented by Chapters 4-9 of the textbook Signals and Systems: A Fresh Look, by Chi-Tsong Chen (review of the continuous-time linear systems part; not covered in the text above) . A free pdf version of the book is made available to students on the author’s website (http://www.ece.sunysb.edu/~ctchen/). A printed version is available from the Spartan Bookstore or from Amazon.com at a nominal cost (~$20). Software: None is required. The Student Version of Matlab is recommended for supporting numerical computations when needed. It’s available at the bookstore or directly from the Mathworks Inc (http://www.mathworks.com/academia/student_version/). Matlab and many of its “toolboxes” are available on the EE Department PC’s in room ENG387 (an open lab; open times are posted on the door). Matlab may be used to demonstrate some topics in the class. However, use of Matlab is optional; no Matlab-specific problems will be part of the homework or the exams (may change in future offerings). Dropping and Adding Students are responsible for understanding the policies and procedures about add/drop, grade forgiveness, etc. Refer to the current semester’s Catalog Policies section at EE210-2, F12: Greensheet 3 http://info.sjsu.edu/static/catalog/policies.html. Add/drop deadlines can be found on the current academic calendar web page located at http://www.sjsu.edu/academic_programs/calendars/academic_calendar/. The Late Drop Policy is available at http://www.sjsu.edu/aars/policies/latedrops/policy/. Students should be aware of the current deadlines and penalties for dropping classes. Information about the latest changes and news is available at the Advising Hub at http://www.sjsu.edu/advising/. Assignments and Grading Policy Grading: Homework Midterm Exam #1: (Wed 10/03/12, 6:00-7:15 pm) Midterm Exam #2: (Wed 14/09/12, 6:00-7:15 pm) Final Exam : (Mon 12/17/12, 5:15-7:30 pm) 5% 30% 30% 35% Exams: All exams are in-class. Two 8.5x11 front & back summary sheets in your own handwriting are allowed. No photocopied solutions of problems or any other course material is allowed. Your course letter grade (A, B, C, F) is assigned based on the class mean and standard deviation (curved grade). Your score relative to the mean in units of standard deviation determines your grade. Homework: Homework is crucial for understanding the course material. Homework will be assigned regularly. Part will be fully graded and the rest will be checked for completeness. Solutions will be provided. You’re welcome (and encouraged) to discuss homework problems with other students in the class but you have to submit your own independent solutions. Copied homework earn zero grade for all parties involved and could have more serious consequences. Doing the homework is crucial for understanding the lecture material and for doing well on the exams. Please note that the 5% for the homework can move your grade across grade boundaries (that is, from B to B+ or A- to A, … etc). No late homework will be accepted. University Policies Academic integrity Your commitment as a student to learning is evidenced by your enrollment at San Jose State University. The University’s Academic Integrity policy, located at http://www.sjsu.edu/senate/S07-2.htm, requires you to be honest in all your academic course work. Faculty members are required to report all infractions to the office of Student Conduct and Ethical Development. The Student Conduct and Ethical Development website is available at http://www.sa.sjsu.edu/judicial_affairs/index.html. Instances of academic dishonesty will not be tolerated. Cheating on exams or plagiarism (presenting the work of another as your own, or the use of another person’s ideas without EE210-2, F12: Greensheet 4 giving proper credit) will result in a failing grade and sanctions by the University. For this class, all assignments are to be completed by the individual student unless otherwise specified. If you would like to include your assignment or any material you have submitted, or plan to submit for another class, please note that SJSU’s Academic Policy S07-2 requires approval of instructors. Campus Policy in Compliance with the American Disabilities Act If you need course adaptations or accommodations because of a disability, or if you need to make special arrangements in case the building must be evacuated, please make an appointment with me as soon as possible, or see me during office hours. Presidential Directive 97-03 requires that students with disabilities requesting accommodations must register with the Disability Resource Center (DRC) at http://www.drc.sjsu.edu/ to establish a record of their disability. EE Department Honor Code The Electrical Engineering Department will enforce the following Honor Code that must be read and accepted by all students. “I have read the Honor Code and agree with its provisions. My continued enrollment in this course constitutes full acceptance of this code. I will NOT: Take an exam in place of someone else, or have someone take an exam in my place Give information or receive information from another person during an exam Use more reference material during an exam than is allowed by the instructor Obtain a copy of an exam prior to the time it is given Alter an exam after it has been graded and then return it to the instructor for re-grading Leave the exam room without returning the exam to the instructor.” Measures Dealing with Occurrences of Cheating Department policy mandates that the student or students involved in cheating will receive an “F” on that evaluation instrument (paper, exam, project, homework, etc.) and will be reported to the Department and the University. A student’s second offense in any course will result in a Department recommendation of suspension from the University. IMPORTANT NOTE: FRIDAY LECTURES In addition to my teaching duties, I am also involved in research projects related to planetary exploration by unmanned spacecraft. To be able to attend related technical meetings and conferences during the semester, some rescheduling of class time will be necessary. During one or more weeks of the semester the class may be taught M & F, W & F, or M & W & F to compensate for any sessions missed during travel. Please make sure that you are available to attend the lecture on Friday (6:00-7:15 pm), in addition to the regular times on M & W. Any Friday lectures will be announced in class ahead of time. A tentative time schedule is attached. EE210-2, F12: Greensheet 5 EE210, Fall 2012, Linear Systems Theory Class Schedule, Tentative Topics, and Reading Assignments Week Lec 1 Day W 8/22 1 2 Lecture Topics Reading Assignments from O & S + Chen ('C') Class organization & Introduction DT Signals and Systems 2.1-2.2 2 3 M 8/27 W 8/29 DT LTI Systems: properties DT Fourier transform (DTFT): definitions, symmetries 2.3-2.6 2.7-2.8 4 M 9/3 W 9/5 Labor Day DT Fourier transform (DTFT): properties 2.9 4 5 6 M 9/10 W 9/12 The z-transform & its inverse: definitions, example pairs The z-transform: properties, system function 3.1-3.3 3.4-3.5 5 7 8 M 9/17 W 9/19 DT LTI systems: frequency response DT LTI systems: poles/zeros 5.1-5.2 5.3-5.5 6 9 10 M 9/24 W 9/26 DT LTI systems: linear phase FIR filters 5.7 6.1-6.5 7 11 M 10/1 W 10/3 DT LTI Systems: state space representation MT #1 C 7.6 8 12 13 M 10/8 W 10/10 CT Signals & the CT Fourier series & transform CT Fourier transform & properties 1 C 2, 4.1-4.2 9 14 15 W 10/15 M 10/17 CT Fourier transform properties 2 Sampling of CT signals 1 C 4.3-4.6 4.1- 4.2, Chen 4.7, 5.1 10 16 17 W 10/22 M 10/24 Sampling of CT signals 2 The discrete Fourier series (DFS) 4.3, 4.8.2, 4.8.4 8.1-8.2 11 18 19 M 10/29 W 10/31 The discrete Fourier transform (DFT) 8.4- 8.6.4 8.6.5-8.7 20 21 M 11/5 W 11/7 Fast computation of the DFT: the DIT- FFT Practical considerations; computational examples M 11/12 W 11/14 Veteran's Day - Campus Closed MT #2 3 12 13 DT LTI Systems: cascade and parallel structures The DFT: circular and linear convolutions C 4.3-4.6 9.1.1, 9.2 9.4; C 5.3-5.7 14 22 M 11/19 W 11/21 CT LTI systems: Review of the 1- and 2-sided Laplace transform Thanksgiving (campus closed after 5 pm) C 9.3 15 23 24 M 11/26 W 11/28 CT LTI Systems: convolution and the transfer function C 8.1-8.2, 8.6-8.7 CT LTI Systems: State space modeling C 8.3-8.5, 8.9-8.12 EE210-2, F12: Greensheet 16 25 26 M 12/3 W 12/5 17 27 M 12/10 W 12/12 M12/17 6 Poles & zeros; Steady-state and transient responses Stability; frequency response 1 C 9.2, 9.6 C 9.5, 9.7 Frequency response 2 C 9.8, 9.10 Final Exam (5:15 to 7:30 pm)