EE422G - SIGNALS AND SYSTEMS II

 

CATALOG DATA:

EE 422G - Signals and Systems II: 3 Credits

A continuation of the analysis of signals and linear systems, with an emphasis on feedback and discrete-time systems. Topics include the Laplace and Z-transforms, frequency domain modeling techniques, feedback principles, state variables,  sampling and digital filter design.  Prereq:  EE 421G.

 

TEXTBOOK:

R. E. Ziemer, W. H. Tranter, and D. R. Fannin.  Signals & Systems: Continuous and Discrete.  4th Edition, Prentice  Hall, 1998

 

COORDINATOR:

Dr. YuMing Zhang, Associate Professor

 

GOALS:

The objective of the course is to familiarize students with analysis techniques for discrete-time signals and (linear) systems using time and frequency domain approaches such as Convolution, Transfer function, Laplace and Z-transforms, Discrete and Fast Fourier Transforms, State-Variable Modeling and Analysis

 

PREREQUISITE:

EE421G and Electrical Engineering Standing

 

COURSE DESCRIPTION:

  1. Laplace transform (Chapter 5)
    1. Introduction
    2. Examples of evaluating Laplace transforms
    3. Some Laplace transform theorems
    4. Inversion of Rational Functions
  2. Applications of the Laplace Transform (Chapter 6)
    1. Introduction
    2. Network analysis using the Laplace transform
    3. Loop and nodal analyses of circuits by means of the Laplace transform
    4. Transfer functions
    5. Stability and the Routh array
    6. Bode plots
    7. Block diagrams
  3. State-variable techniques (Chapter 7)
    1. Introduction
    2. State-variable concepts
    3. Form of the state equations
    4. Time-domain solution of the state equations
    5. Frequency-domain solution of state equations
    6. Finding the state transition matrix
    7. State equations from electric networks
    8. State equations from transfer functions
  4. Discrete-time signals and systems (Chapter 8)
    1. Introduction
    2. Analog-to-digital conversion
    3. The z-transform
    4. Difference equations and discrete-time system
  5. Analysis and Design of Digital Filters (Chapter 9)
    1. Introduction
    2. Structures of digital processors
    3. Discreet-time integration
    4. Infinite impulse response (IIR) filter design
    5. Design of finite-duration impulse response (FIR)
    6. Computer-aided design of digital filters
  6. The Discrete Fourier Transform and Fast Fourier Transform Algorithms
    1. Introduction
    2. Error sources in the DFT
    3. Examples illustrating the computation of the DFT
    4. Mathematical derivation of the FFT

OUTCOMES:

Upon completion of this course students should demonstrate the ability to:

  1. Analyze discrete-time signals with the (discrete) Fast Fourier transform.
  2. Analyze discrete-time systems with the difference equations and z-transforms.
  3. Characterize input-output relationships of linear time-invariant discrete-time systems using impulse responses, transfer functions, and state-variable representations.
  4. Analyze linear continuous-time systems with the Laplace transforms and solve their state-equations.
  5. Design basic digital filters and feedback control systems.

COMPUTER USAGE:

MATLAB or other mathematical software (MATHEMATICA/MAPLE)

 

CLASS SCHEDULE:

Lecture 3 hours per week.

 

PROFESSIONAL CONTRIBUTION:

Engineering Science: 3 credit

Engineering Design 1 credit

 

RELATION OF COURSE TO PROGRAM OUTCOMES:

These course outcomes fulfill the following Program Outcomes:

(a)     An ability to apply knowledge of mathematics, science, and engineering.

(c)     An ability to design a system, component, or process to meet desired needs.

(k)     An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice.

(l)       breadth of knowledge over all areas within electrical engineering (electromagnetics, power, electronics, signals and systems, and computer engineering)

(o)     knowledge of mathematics through differential and integral calculus

(p)     knowledge of 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

(q)     knowledge of advanced mathematics, linear algebra, complex variables, and discrete mathematics.

 

PREPARED BY: YuMing Zhang 3/11/2004