EEL 4102 - Linear Systems Analysis

Prerequisite: EEL 3100 - Network Analysis and Design

Catalog Description:

Provides further study in the analysis of linear networks and systems. Includes time and frequency domain points of view. Laplace, Fourier and superposition integrals. (3 credits)

This course will introduce you to the fundamental principles and concepts of system theory. Study time-domain analysis (convolution) and frequency-domain analysis (Fourier, Laplace, and Z-transforms) of linear systems (both continuous-time and discrete-time).

• Linear Systems and Signals, B. P. Lathi, Berkeley-Cambridge Press, 1992.
  ISBN 0-941413-34-9

• Continuous and Discrete Signals and Systems, Soliman and Srinath, Prentice-Hall, 1990.
• Continuous & Discrete Signal & System Analysis, 3rd Edition, McGillem and Cooper, HRW/Saunders College Publishing, 1991.
• Discrete-Time Signal Processing, A. V. Oppenheim and R. W. Schafer, Prentice-Hall, 1989.
• Engineering Circuit Analysis, 4th Edition., Hayt and Kemmerly, McGraw-Hill, 1986, (Chapters 17-19).
• Discrete-Time and Continuous-Time Linear Systems, R. J. Mayhan, Addison-Wesley, 1984.

• Office Phone: (813) 974-4769; Office Location: ENB 368
• E-mail: sankar@eng.usf.edu
• WWW: http://www.eng.usf.edu/~sankar/course/ee4102.html/

• Office Location/Phone:
• E-mail:
• Office Hours:

Office Hours: MW 11:00-12:30 pm; (Others by Appointment)

Topics to be covered:

INTRODUCTION AND REVIEW
Definitions for Linear Systems
Characteristics and properties of Linear Systems
Review of classical solutions of linear differential eqn.

FOURIER SERIES
Generalized signal representation
Trigonometric and Exponential Fourier Series
Parseval's power theorem
Convergence conditions and Gibb's phenomena
Signal spectrum
FOURIER TRANSFORM
Definitions and properties of Fourier transform
Rayleigh's energy theorem
Fourier transforms of energy and power signals
Singularity functions

LAPLACE TRANSFORM
Definition and properties of Laplace transform
Solution of differential equations
Inverse Laplace transform
Circuit analysis
Interrelations between Fourier and Laplace transforms
SAMPLING AND DFT
Sampling and reconstruction
Discrete Fourier transform (DFT)
Z-TRANSFORM
Discrete-time systems and difference equations
Z-transforms and discrete convolution
Inverse Z-transform
Solutions of difference equations using Z-transforms
Interrelations between continuous and discrete-time signals
DIGITAL FILTERS
Filter designs (recursive and nonrecursive filters)

Grading Policy:

• There will be three exams given during the semester and the best 2 out of 3 will count for 50% of the grade.
  (Exam dates will be announced at least one week ahead of time and there will be no make-up for a missed exam.
• Comprehensive Final Exam at the end of the semester will count for 35% of the grade.
• Homework will count for 5 % and Quizzes/Computer Exercises will count for 10% of the grade.
  Exercises will be assigned in class.

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