# 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

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%

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