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.
E. W. Kamen, B. S. Heck, Fundamentals of Signals and Systems, Prentice Hall 2000, ISBN 0-13-017293-6
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 |
Assigned weekly, usually on Thursdays, due the following Thursday unless otherwise posted.
Regular Exam (theory): 24%
Take-home exam administered late during semester and due at Regular Exam time: 12%
Total for Final is 36%
Three quizzes total 3 x 18=54%, Homework 10%, Final Exam 36%
(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 |