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EEC250 – Linear Systems And Signals

4 units – Fall Quarter

Lecture: 4 hours

Prerequisite: EEC 150A

Grading: Letter; homework, classwork, and exams as determined by instructor.

Catalog Description:

Mathematical description of systems, selected topics in linear algebra. Solution of the state equations and an analysis of stability, controllability, observability, realizations, state feedback and state estimation. Discrete-time signals and system, and the Z-transform.

Expanded Course Description:

  1. Mathematical Description of Systems
    1. The Input-Output Description
    2. The State-Variable Description
    3. Frequency Domain Representation
  2. Selected Topics in Linear Algebra
    1. Representation and similarity transformation
    2. Eigenvalues, eigenvectors, and Jordan form
    3. Functions of a square matrix
  3. Analysis of Continuous-Time Systems
    1. Solutions of linear time-invariant dynamic equations
    2. Equivalent Systems
    3. Controllability and Observability
  4. State Feedback and State Estimation
    1. State Feedback
    2. State Estimators
    3. Connections of State Feedback and State Estimators
  5. Analysis of Discrete-Time Systems
    1. Sampling of Continous-time Signals
    2. The Z-transform and its Inverse Transform
    3. Introduction to the Stability Analysis

Textbook/reading:

  1. Linear System Theory and Design, by Chi-Tsong Chen, Holt, Rinehart and Winston, 1984.
  2. Chapters 1, 2, and 3 of Digital Signal Processing, by Alan V. Oppenheim and Ronald W. Schafer, Prentice-Hall, Inc., 1975.

ABET Category Content:

Engineering Science: 3 credits
Engineering Design: 1 credit

Instructors: Wang, Chang, Levy, Gündes

Course Overlap:

MAT 22A: Linear Algebra, ECH 267: Advanced Process Control, MAE 272: Theory and Design of Control Systems.

Last revised: Fall 2002