San José State University Department of Electrical Engineering EE 112, Linear Systems, Spring 2010

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1 San José State University Department of Electrical Engineering EE 112, Linear Systems, Spring 2010 Instructor: Robert H. Morelos-Zaragoza Office Location: ENGR 373 Telephone: (408) Office Hours: TuW 14:30-17:00 Class Days/Time: MW 18:00-19:15 Classroom: Clark Building 234 Prerequisites: EE98 with a grade of C or better, EE101, Math133A Course Description Advanced study of linear discrete-time and continuous-time systems. Laplace transforms and Z transforms. Convolution. System functions and frequency response, Fourier series and Fourier transforms. Discrete and fast Fourier transforms. Course Goals and Student Learning Objectives This course provides an introduction to linear time-invariant (LTI) systems. It introduces signals and systems, both discrete and continuous, for representing and manipulation in the time domain. Laplace and Z-transforms are covered as analytical tools to solve linear systems using a characterization in the frequency domain as well as for computing time-domain responses to input signals. Fourier series and the Fourier transform are covered, to understand the relationship between the time-domain and the frequency-domain representation of LTI systems. GE/SJSU Studies Learning Outcomes (LO) Upon successful completion of this course, students will be able to: LO1 Demonstrate an understanding of the fundamentals of Electrical Engineering, including its mathematical and scientific principles, analysis and design. LO2 Demonstrate the ability to apply the practice of Engineering in real-world problems. Course Content Learning Outcomes Upon successful completion of this course, students will be able to: LO3 Analyze a system and determine if it is linear, time-variant, causal, and/or stable (a) LO4 Perform convolution in the time domain to compute the response of an LTI system (c) LO5 Apply the Laplace transform to solve linear differential equations (a, k) LO6 Apply Z-transform to solve linear difference equations (a, k) LO7 Analyze a periodic signal, using the Fourier series, to determine its frequency content (a, k)

2 LO8 Analyze a signal, using the Fourier transform, to determine its frequency content (a, k) LO9 Analyze a linear system transfer function using its poles and zeros (a, k) LO10 Determine the frequency response of a system (a, k) LO11 Use MATLAB to analyze a system both in the time and in the frequency domains, to do convolution for time domain response of a system, determine frequency response of a system, and analyze a signal in terms of its frequency content (k) ABET outcomes The letters in parentheses in each of the course learning objectives above refer to ABET (Accreditation Board for Engineering and Technology) criterion 3 outcomes satisfied by the objective. These are listed below as a reference: (a) An ability to apply knowledge of mathematics, science, and engineering (b) An ability to design and conduct experiments, as well as to analyze and interpret data (c) An ability to design a system, component, or process to meet desired needs (d) An ability to function on multi-disciplinary teams (e) An ability to identify, formulate, and solve engineering problems (f) An understanding of professional and ethical responsibility (g) An ability to communicate effectively (h) The broad education necessary to understand the impact of engineering solutions in a global and societal context (i) A recognition of the need for, and an ability to engage in life-long learning (j) A knowledge of contemporary issues (k) An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice (l) Specialization in one or more technical specialties that meet the needs of companies (m) Knowledge of probability and statistics, including applications to electrical engineering (n) Knowledge of advanced mathematics, including differential and integral equations, linear algebra, complex variables, and discrete mathematics (o) Basic sciences, computer science, and engineering sciences necessary to analyze and design complex electrical and electronic devices, software, and systems containing hardware and software components Required Texts/Readings Textbook Haykin and Van Veen, Signals and Systems, 2nd Ed., John Wiley, Other readings Lathi, Linear Systems and Signals, Oxford, 2004.

3 Other material Handouts either posted in the web page or distributed in class. Classroom Protocol Students are expected to participate actively in class. Students will turn their cell phones off or put them on vibrate mode while in class. They will not answer their phones in class. Dropping and Adding Students are responsible for understanding the policies and procedures about add/drops, academic renewal, etc. Information on add/drops are available at Information about late drop is available at Students should be aware of the current deadlines and penalties for adding and dropping classes. Assignments and Grading Policy There will be two midterm exams and a final exam. Exams cover the assigned reading materials and class lecture notes. All exams are open book and open notes. There will be absolutely no make-up exams (only in very special circumstances extraordinary exams can be given, requiring both written excuse and official proofs). Exam solutions will be discussed in class after the exam dates and posted in the web site of the course. Some homework problems will require the use of a computer to perform system simulations and signal analysis. Grades Assignments 25% Exam 1 20% Exam 2 20% Final exam 35% Total 100% Grading Percentage Breakdown 90% and above A 89% - 85% A- 84% - 82% B+ 81% - 79% B 78% - 75% B- 74% - 72% C+ 71% - 69% C 68% - 65% C- 64% - 62% D+ 61% - 59% D 58% - 55% D- below 55% F

4 Table 1 Course Schedule (Subject to change with fair notice as announced in class) Week Date Topics, Readings, Assignments, Deadlines 1 1/28 Introduction to signals and systems. 2 2/1 Classification of signals, signal operations and elementary signals. (Chapter 1) 3 2/8 Systems and their properties. Using Matlab (Chapter 2) 4 2/17 Convolution sum and integral (Chapter 2) 5 2/24 LTI systems, impulse and step response, system representation using differential and difference equations, block diagrams (Chapter 2) 6 3/1 Midterm exam 1 (Monday 3/1) 7 3/8 Laplace transform (Chapter 6) 8 3/15 Transfer function, poles and zeros and frequency response (Chapter 6) 9 3/22 Fourier Series (Chapter 3) 10 4/5 Fourier transform (Chapter 3) 11 4/12 Discrete-time Fourier transform and FFT (Chapter 4) 12 4/19 Midterm exam 2 (Wednesday 4/21) 13 4/26 Z transform (Chapter 7) 14 5/3 Applications in filters (Chapter 8) 15 5/10 Final Exam Applications in control and communication Systems (Chapters 9 and 5) 5/24 Comprehensive final exam. 17:15-19:30 Other Notes: MATLAB will be used to demonstrate some of the concepts discussed in class and also to solve some homework problems. Students are responsible for self-learning and purchasing the software if necessary. The Student Version of MATLAB and the Signal Processing Toolbox are available from the bookstore or directly from the Mathworks, Inc. ( MATLAB and many toolboxes are also available on many PCs in rooms ENG387 and ENG405. MATLAB has a good help facility that the student can invoke to learn more about specific commands or functions.

5 University Policies Academic integrity Students should know that the University s Academic Integrity Policy is availabe at Your own commitment to learning, as evidenced by your enrollment at San Jose State University and the University s integrity policy, require 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 website for Student Conduct and Ethical Development is available at 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 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 in your assignment any material you have submitted, or plan to submit for another class, please note that SJSU s Academic Policy F06-1 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 requires that students with disabilities requesting accommodations must register with the DRC (Disability Resource Center) 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.

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