EEC150B - Introduction To Signals And Systems II

4 units -Fall Quarter

Lecture: 3 hours

Discussion: 1 hour

Prerequisite: Course 150A

Grading: Letter

Catalog Description: Characterization and analysis of discrete time systems. Difference equation models. Z-transform analysis methods. Discrete and fast Fourier transforms. Introduction to digital filter design.

Relationship to Outcomes:
Students who have successfully completed this course should have achieved:

Course Outcomes ABET Outcomes
An ability to apply knowledge of mathematics, science, and engineering A
An ability to design and conduct experiments, as well as to analyze and interpret data B
An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice. K

Expanded Course Description

  1. Discrete Signals, Difference Equations, and System Description
    1. Introduction
    2. Discrete signals
    3. System classification
    4. Difference equations
    5. Impulse response and convolution
    6. Frequency response
  2. The Z-Transform
    1. Definitions
    2. Properties and examples of the Z-transform
    3. The inverse Z-transform
    4. The transfer function and stability
    5. Solving difference equations
  3. Discrete Transforms
    1. Discrete-time Fourier transform (DTFT)
    2. Discrete Fourier transform (DFT)
    3. The fast Fourier transform (FFT)
  4. Elements of Digital Filter Design
    1. Introduction
    2. Finite impulse response (FIR) filters
    3. Infinite impulse response (IIR) filters
    4. The Bilinear transformation
    5. Frequency transformations for digital filters (OPTIONAL)
Textbook: Strum and Kirk, First Principles of Discrete Systems and Digital Signals, Addison-Wesley

Computer Use: Digital filters are designed and simulated using the Matlab Signal Processing Toolbox.

Engineering Design Statement:
The course devotes 8 hours (27%) explicitly to digital filter design (Section VI in expanded course description) in addition to other design material. Matlab is employed in a series of design exercises culminating in an open-ended project concerned with the design of FIR and IIR digital filters. The software permits the student to deal with realistic design problems.

Professional Component: Engineering Breadth, Depth
Engineering Science: 3 units
Engineering Design: 1 unit

Update: 7/09