# EEC150A - Introduction To Signals And Systems I

4 units - Winter Quarter

Lecture: 4 hours

Prerequisites: EEC100, ENG 6 or MAT 22AL (may be taken concurrently)

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.

Relationship to Outcomes:
Students who have successfully completed this course should have achieved:

 Course Outcomes ABET Outcomes An ability to apply knowledge of mathematics, science, and engineering A An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice. K

Expanded Course Description

1. Signals and Their Functional Representations
1. Some applications involving signals
2. Periodic continuous-time signals
3. Nonperiodic signals
4. The Delta function and its applications
2. Linear Continuous-Time Systems
1. System classification
2. Modeling simple systems
3. Systems defined by differential equations
4. The impulse response
5. The convolution integral
6. Block diagrams
3. Elements of Feedback Systems
1. Review of the Laplace transform
2. The transfer function and block diagrams
3. Feedback in control (plants, controllers, and error signals)
4. Stability and the s-plane
5. Routh-Hurwitz test (OPTIONAL)
6. The Nyquist criterion
7. Root-locus analyses
4. Periodic Signals and Their Spectra
1. Representation of signals by orthogonal functions (OPTIONAL)
2. Periodic functions and Fourier series
3. Properties of Fourier series
4. Systems with periodic inputs
5. The Fourier Transform
1. Definition
2. Properties and examples of Fourier transforms
3. Introduction to filters
• Linear time-invariant systems (filters)
• Butterworth, Chebyshev, and Elliptic filters
• Frequency transformations of analog filters (OPTIONAL)
4. Gibbs phenomenon (OPTIONAL)
6. Elements of Communication Systems
1. Amplitude modulation
2. Frequency modulation
3. The sampling theorem
4. Pulse modulation techniques
Textbook: G. Carlson, Signals and Linear Systems Analysis, Wiley.