EE344 - Signals and Systems I - Fall 2005

 Lecture-by-Lecture Overview

Date
Topics 
Keywords
Reading Assignment
HW
 Aug 24
introduction


 
 Aug 26 signal classes
continuous-time (CT) and discrete-time (DT) signals; signal energy and power
 1-14; 71
Ex: 1.1
  
 Aug 29
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
Aug 31
signal properties; common signals
complex exponentials; (angular) frequency; fundamental period
Ex: 1.4, 1.5;
HW 1 Solution
Sep 2
difference between CT and DT complex exponentials
harmonically related complex exponentials
38-43
Practice 1
 HW 2 due
Sep 5
(no class)



Sep 7
QUIZ 1
system properties
unit impulse and unit step signals; sifting property; memoryless systems; invertibility 44-56
Quiz 1

Sep 9
system properties causality; stability; time invariance; linearity; LTI systems 44-56

Sep 12
DT convolution impulse response; convolution sum
74-90;
HW 3 due
Sep 14
CT convolution;
system properties expressed by the impulse response
convolution integral
90-111;
Java applet

Sep 16
QUIZ 2
differential and difference equations
homogeneous and particular solutions; natural response and forced response
112-116
Ex: 2.2, 2.5;
Quiz 2
LTI systems

Joy of convolution
Sep 19
differential and difference equations
infinite impulse response (IIR) and finite impulse response (FIR) systems; recursive system; feedback; feedforward
116-127
HW 4 due
Sep 21
QUIZ 3
Fourier series representation
eigenfunction, eigenvalue; Laplace transform; z-transform; Fourier series representation; first and second harmonic components
177-186
Quiz 3

Sep 23
determination of Fourier series

analysis equation, synthesis equation;
Fourier series coefficient; spectral coefficient
186-195;
211-220;
Ex: 3.1;
Java applet
Practice exam
HW 5 due
Sep 26
QUIZ 4
properties of Fourier series
Gibbs phenomenon
195-211;
221-226
Quiz 4

demo2.m
conv. practice
Quiz 4 practice

Sep 28
 discussion of practice exam


FS practice
Sep 29
EXAM 1
8:00-9:15am, DBRT 138



Sep 30
(no class)



Oct 3
Fourier series and LTI systems
system function; frequency response
226-231;
Ex: 3.2

Oct 5
properties of CT and DT FS
Parseval's relationship
--

Oct 7
filters described by differential and difference equations
lowpass (LP) filter, highpass (HP) filter, bandpass (BP) filter 231-250
HW 6 due
Oct 10
filters described by differential and difference equations moving-average filter


Oct 12
QUIZ 5
introduction to the CT Fourier transform
CT Fourier transform (CT FT) 284-290;
Ex: 4.1
Quiz 5

Oct 14
Fourier transform of periodic signals; FT properties
290-308

HW 7 due

FALL BREAK



Oct 24
FT properties
duality 308-330
Oct 26
FT properties and examples;
proof of integration property
sign function 330-333
 
Oct 28
FT transform properties and examples

Practice 6
HW 8 due
Oct 31
QUIZ 6
systems characterized by differential equations; introduction to the DT Fourier transform

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

Nov 2
DT FT of periodic signals; properties of the DT FT
372-396
demo3.m

Nov 4
properties of the DT FT
---
HW 9 due
Nov 7
systems characterized by difference equations
396-400

Nov 9
QUIZ 7
DT FT properties; examples

Quiz 7

Nov 11
DT FT properties; examples
allpass filter

HW 10 due
Practice exam
Nov 14
discussion of practice exam

Problem 5.50

Nov 15
EXAM 2
8:00-9:15am, DBRT 138



Nov 16
discussion of exam 2;
introduction to the Laplace transform



Nov 18
introduction to the Laplace transform bilateral Laplace transform, region of convergence (ROC), pole-zero plot 654-670;
Ex: 9.1

Nov 21
properties of the ROC
670-682
Nov 23
QUIZ 8
inverse Laplace transform; geometric evaluation of the FT
system function, transfer function 683-698
Quiz 8
HW 11 due

THANKSGIVING


Nov 28 properties of the Laplace transform
698-713
Nov 30
(no class)



Dec 2
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 5
QUIZ 9
unilateral Laplace transform
unilateral Laplace transform
Quiz 9

Dec 7
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
  DBRT 215
 
 
 
Dec 16
FINAL EXAM
8:00-10:00am, DBRT 215















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