Linear Systems

EE 3317  
Spring 2009


1. Instructor and TAs Dan Popa / See information on TA's
2. Office Location: NH 525
3. Office Hours: Monday/Wednesday 10:30-12:30 or by appointment
4. Phone: 817-272-5982, 817-272-3342
5. Fax: 817-272-5952
6. Email: popa@uta.edu
Course venue: NH 106, MW 9:00-10:20 am

7. Course Prerequisites:

EE 3317 prerequisite: EE 2446 and MATH 3319. MAE 3317 prerequisite: MAE 3360.Please come see me or email me if you have additional questions prior to signing up for the course.

8. Required Readings/Materials:

Textbook:

  • B.P. Lathi, Linear Systems and Signals, 2nd ed. (required), Oxford Press, ISBN-13: 978-0-19-515833-5.

Other materials (on library reserve)

  • Student Edition of MATLAB Version 5 for Windows by Mathworks, Mathworks Staff, MathWorks Inc.
  • R.D. Strum, D.E. Kirk, Contemporary Linear Systems using MATLAB, PWS Publishing, 1994, ISBN: 0-534-93273-8.
  • B.W. Dickinson, Systems: Analysis, Design and Computation, Prentice Hall, 1991, ISBN: 0-13-338047-5.
  • G.F. Franklin, J.D. Powell, A. Emami-Naeni, Feedback Control of Dynamic Systems, 5th edition, Prentice Hall, 2006, ISBN: 0-13-149930-0.


9. Course Description:
Catalog description: EE 3317. LINEAR SYSTEMS (3-0) Time-domain transient analysis, convolution, Fourier Series and Transforms, Laplace Transforms and applications, transfer functions, signal flow diagrams, Bode plots, stability criteria, and sampling.

This is an introductory signal and systems course. It presents a broad overview of continuous linear systems concepts and techniques, and focuses on fundamentals such as time-domain and frequency domain analysis, stability, and discretization (sampling)..
The course material is divided between several areas:

  • Signals and systems: classification, manipulation, modeling
  • Continuous time-domain analysis of systems
  • Continuous frequency domain analysis of systems
  • Sampling and Fourier analysis of signals
  • Programming excercises using MATLAB
10. Course Learning Goals/Objectives:
The goals of the course are as follows:
  1. Ability to analyze systems using time-domain methods including impulse response and convolution.
  2. Ability to analyze systems using Laplace-domain methods including transfer function and related concepts.
  3. Ability to analyze systems using frequency-domain methods including frequency response of a system and Bode plots.
  4. Ability to analyze signals using Fourier series and Fourier transform.
  5. Ability to appliy systems analysis tools to solve engineering problems.
  6. Ability to use MATLAB as an engineering tool.

11. Tentative Lecture/Topic Schedule:
  • Week 1 - January 21, Lecture 1
    • Introduction to signals and systems, syllabus and examples.
    • Online material
  • Week 2 - January 26, 28, Lecture 2
    • Review of basics: Matrix and vector algebra, complex numbers, integrals and series. (Background)
    • Online materials:
  • Week 3 - February 2, 4, Lectures 3,4
    • Review of basics: Matrix and vector algebra, complex numbers, integrals and series. (Background)
    • MATLAB Programming
    • Online materials:
    • Signals: classification, operations, standard signals, programming using MATLAB (Chapter 1)
      • Notes for lecture 4
      • Summary of lectures 4-5
      • Operations: Time Shifting, Scale, Reversal
      • Classification: analog, digital, periodic, aperiodic, finite, infinite, causal, anticausal, energy and power signals, deterministic and stochastic.
      • Measures: Power, Energy
      • Examples and plotting of signals using MATLAB
      • Signal spaces
    • Homework #1 handed out on Feb 2
  • Week 4 - February 9,11, Lectures 5,6
    • Signals: classification, operations, standard signals, programming using MATLAB (Chapter 1))
    • Homework #1 due Feb 9, Homework #2 handed out
  • Week 5 - February 16,18, Lectures 7,8
    • Systems: properties and classification (Chapter 1)
    • Homework #2 due Feb 18, Homework #3 handed out
  • Week 6 - February 23,25, Lectures 9, 10
  • Week 7 - March 2, 4, Lectures 11, 12
  • Week 8 - March 9, 11, Lectures 13, 14
  • Week 9 - March 16, 18, Spring Break
  • Week 10 - March 23, 25, Lectures 15, 16
  • Week 11 - March 30, April 1, Lectures 17, 18
    • Frequency domain analysis of systems:
    • Homework #6 due on April 1, Homework #7 handed out.
  • Week 12 - April 6, 8, Lectures 19, 20
  • Week 13 - April 13, 15, Lectures 21, 22
    • State space analysis of systems: (Chapter 10)
      • State equations
      • Time domain and frequency domain solutions
      • Linear tranaformations of state
      • Controllablity and Observability
    • Midterm II (Take-home) handed out April 13, covers frequency domain and state-space analysis.
  • Week 14 - April 20, 22, Lectures 23, 24
    • Fourier analysis of signals (Chapter 6)
    • Homework #8 due April 22, Homework #9, handed out on April 22.
    • Midterm #2 due April 20 in class. Midterm 2 grades will be returned only by appointment (see instructions).
  • Week 15 - April 27, 29, Lectures 25, 26
    • Fourier analysis of signals (Chapter 6)
      • Fourier series: convergence
      • Lecture 25 notes
      • LTI system response to periodic inputs
    • Fourier analysis of systems (Chapter 7)
    • Homework #9 due April 29, Homework #10 handed out.
  • Week 16 - May 4, 6, Lectures 27, 28
    • Fourier analysis of systems (Chapter 7)
      • Connection between Laplace and Fourier Transform
      • Application to signal processing: filters and window functions
      • Application to signal processing: filters and window functions
      • Parseval's Theorem
      • Lecture 28 notes
    • Course recap and exam preparation
    • Homework #10 due May 6.
  • Week 17 - May 11
    • Final exam (in-class) (comprehensive)
    • May 11, 8am-10:30am, NH 202
    • Bring a 5-page, double-sided cheat sheet, handwriting only


12. Specific Course Requirements:
  • Homeworks: 10
  • Examinations: Two midterms (one in-class, one take-home) and one final
  • Final Examination: Final Exam Comprehensive
  • Missed deadlines for take-home exams and homeworks: Maximum grade drops 15% per late day
  • Grading Format Weighting: 30% - Homeworks, 20% - Midterm 1, 20% - Midterm 2, 30% - Final. Grading will be curved based on class average, generally >90% will be an A, 75-90% B, 60-75% C, 50-60% D, <50% F.
  • Academic Dishonesty will not be tolerated. All homeworks and exams are individual assignments. Discussing homework assignments with your classmates is encouraged, but the turned-in work must be yours. Discussing exams with classmates is not allowed. Your take-home exams and homeworks will be carefully scrutinized to ensure a fair grade for everyone.
  • Random quizzes on turned-in work: Every student will be required to answer quizzes in person at least twice during the semester for homework and take home exam. You will receive invitations to stop by during office hours. Credit for turned in work may be rescinded for lack of familiarity with your submissions.
  • Attendance and Drop Policy: Attendance is not mandatory but highly encouraged. If you skip classes, you will find the homework and exams much more difficult. Assignments, lecture notes, and other materials re going to be posted here, however, due to the pace of the lectures, copying someone else's notes may be an unreliable way of making up an absence. You are responsible for all material covered in class regardless of absences.
  • Syllabus Summary

13. Online Assignment Materials