ECE 420  Signals and Linear Systems
Analysis of continuous and discretetime linear systems based upon convolution integral, Fourier series and Fourier transforms, linear differential/difference equations, Laplace transform, and ztransform. 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 0130172936
Reference
R. D. Strum, D. E. Kirk, Contemporary Linear Systems, BrooksCole 2000, ISBN 0534371728 (for additional reading, especially MATLAB illustrations)
B. P. Lathi, Signal Processing & Linear Systems, Berkeley Cambridge Press, 1998, ISBN 0941413357
Solved problems for most sections
TOPIC 
SOURCE 
CLASSES 
HELPFUL LINKS 
Introduction to MATLAB 
KamenHeck Tutorial 
23 
MIT Signals and Systems Course MATLAB Tutorial Other Tutorials 
Introduction to continuoustime (CT) and discretetime (DT) signals 
Ch. 1 
2 
Interesting sound & images site 
Introduction to systems 
Ch. 1 
12 

CT and DT systems analysis using differential and difference equations 
Ch. 2.14 
2 
Modified Example 2.3 Mfile for solving Difference Equation of Nth Order 
Unit pulse response (for DT), unit impulse response (for CT), convolution integral 
Ch. 3.15 
2 
DT and CT demos 
Fourier series 
Ch. 4.12 
2 
DT and CT demos 
Fourier transform 
Ch. 4.35 
2 

Frequencydomain analysis of systems, frequency response 
Ch. 5.14 
2.5 
DT and CT demos 
Sampling, Nyquist rate, aliasing 
Ch. 5.5 
1 

Fourier analysis of DT signals and systems 
Ch. 7.12,4 
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. 8.15 
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 

Ztransform 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% Takehome 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, campuswIde (very limited toolboxes only, and license problems reported at various times)
(2) PC cluster in WSS225 Lab, Windowsbased
(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, 1.34ae 
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 steadystate from transients) 
Due Thu Apr 4, 4:30pm 
Apr 11 
9.35 ad, 11.3 abc, 11.14 
Due Fri Apr 19, 4:30pm 
