Catalog Data 
ECEN 3300 (3). Linear Systems. Characterization
of linear and timeinvariant systems in time and frequency domains.
Continuous time systems are analyzed using differential equations and
Laplace and Fourier transforms. Discrete time systems, which can be
implemented using a modern digital signal processing framework, use
difference equations, ztransforms and discrete time Fourier transforms
for their analysis and design. Applications of linear systems include
communications, signal processing, and control systems. 
Credits and Design 
3 credit hours. Required core course for EE
program, selected elective course for ECE program. 
Prerequisite(s) 
ECEN 2260,
Circuits as Systems

Corequisite(s) 
None. 
Instructor(s) 
John Hauser, Peter Mathys, David Meyer,
Francois Meyer. 
Textbook 
Alan V. Oppenheim, Alan S. Willsky, with
S. Hamid Nawab, Signals & Systems,
Second Edition, Prentice Hall, 1997, ISBN 0138147574. 
 

Course Objectives 
For students to:
 Understand and use the benefits of analyzing and designing
systems at a higher level that is independent of a particular
hardware implementation.
 Understand how mathematical transformations can yield insight
and simplify the design and analysis of linear systems.
 Understand the differences, similarities, limitations, and
benefits of continuous and discrete time systems.

Learning Outcomes 
After taking this course students will be able to recognize and use
the following concepts, ideas, and/or tools:
 Linearity and timeinvariance, including impulse
response, step response, and convolution.
 Continuoustime (CT) versus discretetime (DT),
including CT and DT signals and systems, differential and difference equations,
and sampling and interpolation.
 Time domain versus transformed domain, including
Laplace and ztransforms, system functions,
Fourier transforms, frequency response, and filter analysis/design.

Student Outcomes Addressed 
3a 
3b 
3c 
3d 
3e 
3f 
3g1 
3g2 
3h 
3i 
3j 
3k 
Math /Sci 
Exper iments 
Design 
Teams 
Engr Problems 
Respon sibility 
Oral 
Written 
Engr Solns Impact 
LL Learning 
Contem porary 
Tools 
H 

M 

M 






M 

Topics Covered 
 Continuous time (CT) and discrete time (DT) signals
 CT and DT linear and timeinvariant (LTI) systems
 Time domain analysis of CT LTI systems
 Differential equations
 Unit impulse/step response
 Convolution
 Transformed domain analysis of CT LTI systems
 Laplace transform, pole/zero plots
 Fourier transform, Fourier series
 System function and frequency response
 Time domain analysis of DT LTI systems
 Difference equations
 Unit impulse/step response
 Convolution
 Transformed domain analysis of DT LTI systems
 ztransform, pole/zero plots
 DT Fourier transform, discrete Fourier series
 System function and frequency response
 Relationship between CT and DT signals, sampling theorem
 Relationship between CT and DT systems, step invariance,
bilinear transformation
