Engineering Systems Analysis
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.
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:
- Distinguish between models for Continuous-time and Discrete-time Systems.
- Distinguish between models for Linear and Nonlinear Systems.
- Distinguish between models for Static and Dynamic Systems.
- Distinguish between model for time-invariant (Stationary) and Time-varying (Non-stationary) Systems.
- Distinguish between models for Causal and Non-casual Systems.
- Obtain Fourier Series for periodic signals.
- Sketch the magnitude and phase spectra for periodic signals and identify the discrete frequency components.
- Obtain Fourier Transform for aperiodic signals and use it to sketch magnitude and phase spectra.
- Use Fourier Transform theorems to describe frequency-domain effects of specific operations in the time-domain (such as, time-shift, scaling, convolution, etc.).
- Obtain Laplace Transform for signals described in time-domain.
- Use Laplace Transform to perform convolution, to solve differential equations, and to perform circuit analysis.
- Obtain Differential Equation (DE), Transfer Function (TF), Impulse Response (IR), and State Models for systems.
- Describe a sampled signal in time-domain (by pulse and impulse sampling) and obtain corresponding frequency-domain descriptions.
- 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].
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)