# ECE340

Engineering Systems Analysis
Fall 2012
Catalog Data:

ECE 340 -- Engineering Systems Analysis  (3 units)
Description:  Basic concepts in the modeling and analysis of engineering systems and fundamental topics in communications, controls, and signal processing. Includes classification of systems; signal characterization in frequency domain, Fourier and Laplace transforms; representation of continuous-time systems by I/O models; system diagrams; state variable models; stability analysis and Bode plots; feedback system characteristics; discrete-time systems; and digital signal processing.

Grading:  Regular grades are awarded for this course: A B C D E.

Special course fee required:  \$20.

Special exam:  course may be taken by special exam for credit (not for grade).

Usually offered:  Fall, Spring, Summer.

Prerequisite(s):
ECE 320A
Textbook(s):

Linear Systems and Signals, B.P. Lathi, Second Edition, Oxford University Press, 2005, ISBN:  978-0-19-515833-5

Course Learning Outcomes:

By the end of this course, the student will be able to:

1. Distinguish between models for Continuous-time and Discrete-time Systems.
2. Distinguish between models for Linear and Nonlinear Systems.
3. Distinguish between models for Static and Dynamic Systems.
4. Distinguish between model for time-invariant (Stationary) and Time-varying (Non-stationary) Systems.
5. Distinguish between models for Causal and Non-casual Systems.
6. Obtain Fourier Series for periodic signals.
7. Sketch the magnitude and phase spectra for periodic signals and identify the discrete frequency components.
8. Obtain Fourier Transform for aperiodic signals and use it to sketch magnitude and phase spectra.
9. Use Fourier Transform theorems to describe frequency-domain effects of specific operations in the time-domain (such as, time-shift, scaling, convolution, etc.).
10. Obtain Laplace Transform for signals described in time-domain.
11. Use Laplace Transform to perform convolution, to solve differential equations, and to perform circuit analysis.
12. Obtain Differential Equation (DE), Transfer Function (TF), Impulse Response (IR), and State Models for systems.
13. Describe a sampled signal in time-domain (by pulse and impulse sampling) and obtain corresponding frequency-domain descriptions.
Course Topics:
• Introduction to Systems, Classification of Systems – Continuous-time and Discrete-time, static and dynamic, Lumped and Distributed, Time-invariant and Time varying, casual and on-causal, Linear and Non-linear; Linearization and techniques [6 lectures].
• Characterization of continuous-time signals in frequency domain, Fourier Series and Discrete Spectra, Fourier Transforms and continuous spectra, Laplace Transforms and Applications to Circuit Analysis, Convolution Theorem [19 lectures].
• System modeling and analysis in time-domain, representations and properties of systems, convolution integral, impulse response and transfer function, system modeling and simulation [6 lectures].
• System analysis using Laplace transform methods, transfer function and frequency response [2 lectures].
• Introduction to state variable models, models for electrical and non-electrical systems, state transition matrix, relation to transfer function model [5 lectures].
• Discrete-time signals and systems, Analog-to-digital conversion, difference equations [4 lectures].
Class/Laboratory Schedule:

Two 75-minute lecture sessions per week.
Approximately ten homework problem sets during semester.
Three in-class examinations plus a final examination.

Relationship to Student Outcomes:

a)  an ability to apply knowledge of mathematics, science, and engineering (High)
e)  an ability to identify, formulate, and solve engineering problems (High)
i)   a recognition of the need for, and an ability to engage in life-long learning (Low)
k)  an ability to use the techniques, skills, and modern engineering tools necessary
for engineering practice. (High)

Prepared by:
Dr. Hal Tharp
Prepared Date:
1/17/13

University of Arizona College of Engineering