EE344 - Signals and Systems I - Fall 2004

 Lecture-by-Lecture Overview

Date
Topics 
Keywords
Reading Assignment
HW
 Aug 25
introduction


 
 Aug 27 signal classes
continuous-time (CT) and discrete-time (DT) signals; signal energy and power
 1-14; 71
Ex: 1.1
  
 Aug 30 signal transformations
time shift, reversal, and scaling; periodic signals; even and odd signals
15-38;
Ex: 1.2, 1.3
Unit circle

Quiz 0
HW 1 due
Sep 1
signal properties; common signals
complex exponentials; (angular) frequency; fundamental period;
Ex: 1.4, 1.5;

Sep 3 difference between CT and DT complex exponentials
harmonically related complex exponentials
38-56
Practice 1
 HW 2 due
HW 1 solution
Sep 6
QUIZ 1
system properties
unit impulse and unit step signals; sifting property; memoryless systems; invertibility
Quiz 1

Sep 8
system properties
causality; stability; time invariance; linearity; LTI system
74-90

Sep 10
DT convolution
impulse response; convolution sum
90-102;
Java applet
HW 3 due
Sep 13
CT convolution;
system properties expressed by the impulse response
convolution integral
103-111;
Java applet
Joy of convolution
Sep 15
QUIZ 2
differential and difference equations
homogeneous and particular solutions; natural response and forces response
112-116
Ex: 2.2, 2.5;
Quiz 2
LTI systems

Sep 17
differential and difference equations
infinite impulse response (IIR) and finite impulse response (FIR) systems; recursive system; feedback; feedforward
116-127
HW 4 due
Sep 20
QUIZ 3
Fourier series representation
eigenfunction, eigenvalue; Laplace transform; z-transform; Fourier series representation; first and second harmonic components
177-186
Quiz 3

Sep 22
determination of Fourier series

analysis equation, synthesis equation;
Fourier series coefficient; spectral coefficient
186-195;
211-220;
Ex: 3.1;
Java applet
Practice exam
Sep 24
properties of Fourier series

Gibbs phenomenon
195-211;
221-226
HW 5 due
conv. practice
Sep 27
QUIZ 4
Fourier series and LTI systems
(Daniele Puccinelli)
system function; frequency response
226-231;
Ex: 3.2
Quiz 4

Sep 29
 discussion of practice exam
(Daniele Puccinelli)



Sep 30
EXAM 1
8:00-9:15am, DBRT 129


Solution
Oct 1
(no class)



Oct 4
properties of CT and DT FS
Parseval's relationship
--

Oct 6
filters described by differential and difference equations
lowpass (LP) filter, highpass (HP) filter, bandpass (BP) filter 231-250

Oct 8
filters described by differential and difference equations CT Fourier transform (CT FT)

HW 6 due
Oct 11
introduction to the CT Fourier transform
284-290;
Ex: 4.1

Oct 13
QUIZ 5
Fourier transform of periodic signals; FT properties

290-308
Quiz 5
HW 7 due
Oct 15
(no class)




FALL BREAK



Oct 25
FT properties
(Daniele Puccinelli)
duality 308-330
Oct 27
FT properties and examples;
proof of integration property
(Daniele Puccinelli)
sign function 330-333
 
Oct 29
FT transform properties and examples

Practice 6
HW 8 due
Nov 1
QUIZ 6
systems characterized by differential equations; introduction to the DT Fourier transform

358-372;
908-916
(Appendix A)
Quiz 6

Nov 3
DT FT of periodic signals; properties of the DT FT
372-396
Nov 5
properties of the DT FT
---
HW 9 due
Nov 8
systems characterized by difference equations
396-400

Nov 10
QUIZ 7
DT FT properties; examples

Quiz 7
HW 10 due
Nov 12
DT FT properties; examples
allpass filter

Practice exam
Nov 15
discussion of practice exam

Problem 5.50

Nov 16
EXAM 2
8:00-9:15am, DBRT 129



Nov 17
discussion of exam 2;
introduction to the Laplace transform



Nov 19
introduction to the Laplace transform bilateral Laplace transform, region of convergence (ROC), pole-zero plot 654-670;
Ex: 9.1

Nov 22
properties of the ROC
670-682 HW 11 due
Nov 24
(no class)




THANKSGIVING


Nov 29 inverse Laplace transform; geometric evaluation of the FT
683-698
Dec 1
QUIZ 8
properties of the Laplace transform
system function, transfer function 698-713
Quiz 8

Dec 3
characterization of LTI systems using the Laplace transform; LTI systems characterized by linear constant-coefficient differential equations initial- and final-value theorems 714-720 HW 12 due
Dec 6
QUIZ 9
unilateral Laplace transform
unilateral Laplace transform
Quiz 9

Dec 8
first- and second-order CT systems; Bode plots
  zero-state response, zero-input response; break point 448-460
HW 13 
Practice Final


 
 

Dec 13
discussion of practice exam
6:00-7:30pm
118 DBRT
 
 
 
Dec 16
FINAL EXAM
8:00-10:00am, 120 DBRT















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