ECE 3163

SIGNALS AND SYSTEMS

CATALOG DATA: ECE 3163. Signals and Systems. (3)

(Prerequisite: C or better in ECE 3153).

Three hours lecture. Modeling of analog and discrete-time signals and systems, time domain analysis, Fourier series, continuous and discrete-time Fourier transforms and applications, sampling, z-transform, state variables.

PREREQUISITES BY TOPIC:

1. Basic Circuit Analysis.
2. Frequency Response.
3. Calculus and differential equations

TEXTBOOK(S) AND OTHER REQUIRED MATERIAL:

1. Simon Haykin and Barry Van Veen, Signals and Systems, 2^nd Edition, Wiley, 2003.

GENERAL COURSE OBJECTIVES AND RELATIONSHIP TO PROGRAM OBJECTIVES:

1. To introduce the students to basic concepts of continuous and discrete signal and system modeling and system classifications. [1,2]
2. To develop the students' understanding of time domain and frequency domain approaches to continuous and discrete systems. [1,2]
3. To introduce the concept of sampling and sampling theorem to signal reconstruction. [1,2]
4. To introduce the concept of state variables representation and their applications to feedback control systems. [1,2]
5. To develop the students' ability to apply modern simulation software for system analysis. [1,2]

TOPICS COVERED:

1. Modeling Concepts. (5 classes)
2. Energy and Power signals (1 class)
3. Linear Time-Invariant Systems. (5 classes)
4. Fourier Series. (5 classes)
5. Continuous-Time Fourier Transform. (4 classes)
6. Discrete-Time Fourier Transform. (3 classes)
7. Sampling. (2 classes)
8. Laplace Transforms. (4 classes)
9. Z-Transform. (7 classes)
10. Controls. (3 classes)
11. State Variables. (3 classes)
12. Exams. (3 classes)

CONTRIBUTIONS TO PROFESSIONAL COMPONENT:

1. Engineering Science : 3 hours
2. Engineering Design : 0 hours
3. Basic Math and Science : 0 hours

ASSESSMENT:

1. Homework.
2. Tests.
3. Final exam.
4. Programming exercises.

SPECIFIC COURSE OBJECTIVES AND RELATIONSHIP TO MEASURABLE OUTCOMES:

Objective 1:

• Demonstrate a basic understanding of continuous and discrete signal and systems models, properties, and spectra representation. (1,2)

Objective 2:

• Demonstrate the ability to perform time domain system analysis using convolution integrals and convolution sum. (1,2)
• Demonstrate the ability to perform frequency domain continuous system analysis using Fourier series and Fourier transform. (1,2)
• Demonstrate the ability to perform frequency domain discrete system analysis using the discrete Fourier transform. (1,2)

Objective 3:

• Demonstrate a basic knowledge of sampling and the process of reconstructing a continuous signal from its sample values. (1,2)
• Demonstrate the ability to use the z-transform to perform discrete system analysis. (1,2)

Objective 4:

• Demonstrate a knowledge of concepts and formulation of state variables. (1,2)
• Demonstrate the ability to use state variables for the analysis and design of feedback control systems using time and frequency domain approaches. (1,2)

Objective 5:

• Demonstrate an understanding of using MATLAB for system analysis and design. (1,2,9)

PREPARED BY:

Dr. Georgios Y. Lazarou, Assistant Professor of Electrical and Computer Engineering, September 28, 2004.