This is supplemental course information, designed to give you a fuller picture of the course and an expanded look at the topics covered. This is an unofficial document. The USC Course Catalog is the binding description of all university courses. Information such as books, materials covered, and the order of topics is subject to change. Please consult instructor for this semseter to get more upto date course information.
2006-07 Catalog Data:
Representation and analysis of linear time-invariant systems primarily for the continuous time case. Convolution, Fourier series and transform, Laplace transform, controls and communications applications.
Prerequisite: EE 202
L;
corequisite: MATH 445.
Textbook:
Systems and Signals, 2/ e, Oppenheim, Willsky and Nawab. Prentice-Hall, 1997.
Coordinator:
Michael G. Safonov, Professor of Electrical Engineering
Topics:
1. Continuous-time signals and linear time-invariant systems; impulse and step responses; exponential and sinusoidal signals, convolution; system properties (linearity, time-invariance, memory, invertibility, causality, stability).
Properties of LTI systems, including commutative, associative, distributive; continuity, stability, invertibility; differential equation representations; response to sinusoids and complex exponentials.
2. Time and frequency characterization of LTI systems; first and second order
systems; Bode plots.
3. Fourier series and Fourier transform; frequency response; properties (associative,
linearity, etc.), convergence, duality; introduction to sampling; transform tables.
4. Laplace transforms, region of convergence; transfer functions, poles, zeros & stability; transform tables; differential equation solution.
5. Transfer functions, system analysis and block diagram algebra.
6. Continuous-time state-variable realizations.
Course Objectives:
To prepare the student for senior-level electives and design projects in communication, control and signal processing by giving the student a thorough working knowledge of discrete/ sampled-data transform techniques.
Course Outcomes:
The student will be able to:
1. Discuss the role and use of Fourier and Laplace transform theory, including some of the key engineering problems that have driven the evolution of the theory.
2. Classify and manipulate continuous-time signals and systems, differential equations and periodic signals.
3. Work with continuous-time impulse responses, convolution integrals, and time-invariant systems using Fourier series, transforms and experimental frequency-response measurement data.
4. Understand the Laplace transform and its derivation, inverse, and application to the analysis of linear systems and their stability.
5. Understand state-variable models and their relation to Laplace transform transfer functions.
6. Design and analyze ideal and non-ideal band-limited filters using transform methods; describe AM modulation/ demodulation using the Fourier transform.
7. Use Matlab and SimuLink to analyze and design linear systems.
8. Apply simulation and transform techniques to selected control, signal/ image processing, or communications systems problems and write a report describing results.
Laboratory Projects:
Homework involves extensive use of Matlab and SimuLink. A final project is required.
Prepared by: Michael G. Safonov Date: December 5, 2003
