Units: 4 (4 Lecture)
Prerequisites: EEC 100; (ENG 6 or MAT 22AL)
Catalog Description: Characterization and analysis of continuous-time linear systems. Fourier series and transforms with applications. Introduction to communication systems. Transfer functions and block diagrams. Elements of feedback systems. Stability of linear systems. GE Credit: QL, SE
ABET Student Outcomes:
1) This course covers the modeling, analyzing, and designing linear systems using ordinary differential equations (ODEs). Students will learn to model various systems (electrical, mechanical, cyber, etc.) using linear ODEs, analyze system behavior in response to known inputs, identify signals of interest within a system, and design filters and systems to extract features and meet specific objectives.
2) Students who have completed this course should have achieved: Student Outcome 1: an ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics.
Expanded Course Description:
I. Signals and Their Functional Representations
A. Some applications involving signals
B. Periodic continuous-time signals
C. Nonperiodic signals
D. The Delta function and its applications
II. Linear Continuous-Time Systems
A. System classification
B. Modeling simple systems
C. Systems defined by differential equations
D. The impulse response
E. The convolution integral
F. Block diagrams
III. Elements of Feedback Systems
A. Review of the Laplace transform
B. The transfer function and block diagrams
C. Feedback in control (plants, controllers, and error signals)
D. Stability and the s-plane
E. Routh-Hurwitz test (OPTIONAL)
F. The Nyquist criterion
G. Root-locus analyses
IV. Periodic Signals and Their Spectra
A. Representation of signals by orthogonal functions (OPTIONAL)
B. Periodic functions and Fourier series
C. Properties of Fourier series
D. Systems with periodic inputs
V. The Fourier Transform
A. Definition
B. Properties and examples of Fourier transforms
C. Introduction to filters
i. Linear time-invariant systems (filters)
ii. Butterworth, Chebyshev, and Elliptic filters
iii. Frequency transformations of analog filters (OPTIONAL)
D. Gibbs phenomenon (OPTIONAL)
VI. Elements of Communication Systems
A. Amplitude modulation
B. Frequency modulation
C. The sampling theorem
D. Pulse modulation techniques
