Dr. Jacek M. Zurada, University of Louisville, KY

ECE 420 - Signals and Linear Systems

Analysis of continuous- and discrete-time linear systems based upon convolution integral, Fourier series and Fourier transforms, linear differential/difference equations, Laplace transform, and z-transform. Topics include pulse/impulse response, frequency response, transfer functions, sampling, and example applications in communications and control.

Prerequisite: ECE 320.

Textbook

E. W. Kamen, B. S. Heck, Fundamentals of Signals and Systems, Prentice Hall 2000, ISBN 0-13-017293-6

Reference

R. D. Strum, D. E. Kirk, Contemporary Linear Systems, BrooksCole 2000, ISBN 0-534-37172-8 (for additional reading, especially MATLAB illustrations)

B. P. Lathi, Signal Processing & Linear Systems, Berkeley Cambridge Press, 1998, ISBN 0-941413-35-7

Solved problems for most sections

TOPIC	SOURCE	CLASSES	HELPFUL LINKS
Introduction to MATLAB	Kamen-Heck Tutorial	2-3	MIT Signals and Systems Course MATLAB Tutorial Other Tutorials
Introduction to continuous-time (CT) and discrete-time (DT) signals	Ch. 1	2	Interesting sound & images site
Introduction to systems	Ch. 1	1-2
CT and DT systems analysis using differential and difference equations	Ch. 2.1-4	2	Modified Example 2.3 M-file for solving Difference Equation of N-th Order
Unit pulse response (for DT), unit impulse response (for CT), convolution integral	Ch. 3.1-5	2	DT and CT demos
Fourier series	Ch. 4.1-2	2	DT and CT demos
Fourier transform	Ch. 4.3-5	2
Frequency-domain analysis of systems, frequency response	Ch. 5.1-4	2.5	DT and CT demos
Sampling, Nyquist rate, aliasing	Ch. 5.5	1
Fourier analysis of DT signals and systems	Ch. 7.1-2,4	3	We replaced this part with discussion of AM, PM and FM signals, will come back to it if time permits
Laplace transform and transfer function concept, relation to unit impulse response	Ch. 8.1-5	2	Compacted coverage of LT since this material has been known from other subjects
Transfer function for system characterization, system eigenvalues (poles), more on frequency response, Bode plots, intro to root loci	Ch. 9.1,4,5 parts of Ch. 10	2
Z-transform for DT systems	Ch. 11	2.5
Three quizzes (each 18% of the total grade)		3	Closed books, notes

Homework

Assigned weekly, usually on Thursdays, due the following Thursday unless otherwise posted.

Final Exam

Regular Exam (theory): 24%
Take-home exam administered late during semester and due at Regular Exam time: 12%
Total for Final is 36%

Grading

Three quizzes total 3 x 18=54%, Homework 10%, Final Exam 36%

MATLAB Availability

(1) homer.louisville.edu, campus-wIde (very limited toolboxes only, and license problems reported at various times)
(2) PC cluster in WSS225 Lab, Windows-based
(3) WS221 (VLSI Lab) Unix Cluster
[both (2) and (3) are special suites including Toolboxes purchased for this class],
(4) Student version available for purchase, inexpensive

Date Assigned	Assignment	Comments
Jan 8	Homework 1	Review, due Jan 11, 4:30pm
Jan 14	1.3i, 1.4bce, 1.7abFigsa,b, 1.10ce, 1.14a	Due Jan 18, 4:30pm
Jan 17	1.16ac, 1.22ab, 1.24, 1.25, 1.34a-e	Due Jan 25, 4:30pm
Jan 24	2.1a, 2.13a, 2.21b, 3.1 ab, 3.4, 3.5ad	Due Fri Feb 1, 4:30pm
Jan 31	3.16bde (graph. and analyt.), 4.4, 4.7cd	Due Fri Feb 15, 4:30pm
Feb 7	4.6ab (i),(ii) only Figs ab, 4.13ef	Due Fri Feb 22, 4:30pm
Feb 21	4.15acd, 4.16b (use MATLAB to plot), 4.18c	Due Fri Mar 1, 4:30pm
Feb 28	5.1, 5.3, 5.25	Due Fri Mar 8, 4:30pm
Mar 7	5.31, 5.32	Due Fri Mar 22, 4:30pm
Mar 21	8.1abce, 8.10abde, 8.14 ad	Due Fri Mar 29, 4:30pm
Mar 28	8.30a, 8.34, 9.10 (no iv, and no separation of steady-state from transients)	Due Thu Apr 4, 4:30pm
Apr 11	9.35 ad, 11.3 abc, 11.14	Due Fri Apr 19, 4:30pm