System Properties: 1. Determine if the following systems are time-invariant, linear, causal, and/or memoryless? dy a) + 6y( t ) = 4 x ( t ) dt dy b) + 4 ty( t ) = 2 x( t ) dt c) y[ n] + 2 y[ n 1] = x[ n + 1] d) e) y(t) = sin(x(t)
dy + y 2 ( t ) = x( t ) d
Fourier Series 1. For the following signal: x(t) 2 -7 -6 -4 -3 -2 -1 2 3 5 6 8 9 time
a) Find the Fourier series b) Plot the spectra versus frequency, = n 0 . 2. Repeat problem 1 for the following signal: x(t) cos(t)
-10 3. Compute the Fourier series for
ECE 308
SIGNALS AND SYSTEMS
Examination #2
21 October 2014
FALL 2014
Name:
Instructions:
The examination lasts for 75 minutes and is closed book, closed notes. No electronic devices
are permitted, including but not limited to calculators, cellphones, and
ECE 308
SIGNALS AND SYSTEMS
Examination #3
20 Nov 2014
FALL 2014
Name:
Instructions:
The examination lasts for 75 minutes and is closed book, closed notes. No electronic devices
are permitted, including but not limited to calculators, cellphones, and othe
ECE 308 SIGNALS AND SYSTEMS FALL 2015
Examination #1
29 September 2015
Name: _L0 t, Us 0 S IA _
Instructions:
The examination lasts for 75 minutes and is closed book, closed notes. No electronic devices
are permitted, including but not limited to calculat
ECE 308
SIGNALS AND SYSTEMS
Examination #1
21 February 2011
SPRING 2011
Name:
Instructions:
The examination lasts for 75 minutes and is closed book, closed notes. No electronic devices
are permitted, including but not limited to calculators, cellphones, a
ECE 308
SIGNALS AND SYSTEMS
HOMEWORK ASSIGNMENT #8
Due: 17 November 2015
1. An ideal linear-phase lowpass filter has the frequency response function
j
e , 2 < < 2
H() =
0,
all other
(a) Find Y () and y(t) if
x(t) = 5 sinc(3t/2),
< t <
(b) Find Y () an
ECE 308
SIGNALS AND SYSTEMS
HOMEWORK ASSIGNMENT #9
Due: 24 November 2015
1. Text problem 6.1
2. Text problem 6.2
3. Text problem 6.4(a)(d)(e)
FALL 2015
ECE 308
SIGNALS AND SYSTEMS
HOMEWORK ASSIGNMENT #7
Due: 10 November 2015
FALL 2015
1. (a) Calculate by hand the 4-point DFT Xk for k = 0, 1, 2, 3 when x[0] = 1, x[1] = 1,
x[2] = 1, x[3] = 1. Notice that this is a constant signal. How is this reflected in
ECE 308
SIGNALS AND SYSTEMS
Examination #1
23 September 2014
FALL 2014
Name:
Instructions:
The examination lasts for 75 minutes and is closed book, closed notes. No electronic devices
are permitted, including but not limited to calculators, cellphones, an
ECE 308
SIGNALS AND SYSTEMS
Examination #2
14 March 2013
SPRING 2013
Name:
Instructions:
The examination lasts for 75 minutes and is closed book, closed notes. No electronic devices
are permitted, including but not limited to calculators, cellphones, and
ECE 308
SIGNALS AND SYSTEMS
Examination #1
19 February 2013
SPRING 2013
Name:
Instructions:
The examination lasts for 75 minutes and is closed book, closed notes. No electronic devices
are permitted, including but not limited to calculators, cellphones, a
ECE 308
SIGNALS AND SYSTEMS
Examination #2
23 October 2012
FALL 2012
Name:
Instructions:
The examination lasts for 75 minutes and is closed book, closed notes. No electronic devices
are permitted, including but not limited to calculators, cellphones, and
ECE 308
SIGNALS AND SYSTEMS
Final Examination
8 December 2011
FALL 2011
Name:
Instructions:
The examination lasts for 120 minutes. The exam is open book (you can bring your textbook
and use it during the exam), and you are allowed to use in the exam two s
ECE 308
SIGNALS AND SYSTEMS
FALL 2012
Exam #1
25 September 2012
Name:
The examination lasts for 75 minutes and is closed book, closed notes. No electronic devices
are permitted, including but not limited to calculators, cellphones, and other handheld
devi
ECE 308
SIGNALS AND SYSTEMS
Final Examination
8 December 2014
FALL 2014
Name:
Instructions:
The examination lasts for 120 minutes and is closed book, closed notes. No electronic devices
are permitted, including but not limited to calculators, cellphones,
ECE308 Signals and Systems (Spring 2017)
Homework2
Reading assignment: Chapter 2 (Oppenheim and Willsky)
1. Compute the output
response
(a)
(b)
(c)
(d)
for a continuous-time LTI system whose impulse
and the input
,
,
,
0,
0
1, 0
0,
,
2
1 ,
ECE 308
Signals and Systems
Chapter 1. Signals and Systems
Dr. Joohee Kim
ECE Signals and Systems Spring 2017
Course Overview
Instructor
Dr. Joohee Kim (Siegel Hall 329, joohee@ece.iit.edu)
Office hours: Tue/Thu 10:00-11:00 AM
TA
Zhengyu Xia (zxia@hawk.
% ECE 308 Spring 2015
% Homework Assignment #2
% Problem 3
% Problem 3(d) part (a)
n = 0:20 ;
v = 2.^n ;
x = ones(size(n) ;
y = conv(v,x) ;
y = y(1:length(n) ;
figure(1)
stem(n,y,'filled')
xlabel('n')
ylabel('x(n) * v(n)')
title('HW #2, problem 3(d) part
ECE 308
SIGNALS AND SYSTEMS
FALL 2011
Exam #1
22 September 2011
Name:
The examination lasts for 75 minutes and is closed book, closed notes. No electronic devices
are permitted, including but not limited to calculators, cellphones, and other handheld
devi
ECE 308
SIGNALS AND SYSTEMS
Examination #2
6 April 2011
SPRING 2011
Name:
Instructions:
The examination lasts for 75 minutes and is closed book, closed notes. No electronic devices
are permitted, including but not limited to calculators, cellphones, and o
% Homework #4, problem 2
t = [-6:0.001:6];
x = zeros(size(t);
x10t = x ;
x100t = x ;
x10e = x ;
x100e = x ;
N = 10 ;
for k=1:N,
x10t = x10t + (2/(k*pi)*(1+2*cos(k*2*pi/3)-3*(-1)^k)*sin(k*2*pi*t/3);
x10e = x10e + (-j/(k*pi)*(1+2*cos(k*2*pi/3)-3*(-1)^k)*exp
ECE 308
SIGNALS AND SYSTEMS
Final Examination
5 December 2012
FALL 2012
Name:
Instructions:
The examination lasts for 120 minutes and is closed book, closed notes. No electronic devices
are permitted, including but not limited to calculators, cellphones,
ECE 308
SIGNALS AND SYSTEMS
Examination #2
18 October 2011
FALL 2011
Name:
Instructions:
The examination lasts for 75 minutes and is closed book, closed notes. No calculators
permitted. A table of properties of the Fourier transform is attached for your c
%
%
%
%
ECE 308 Fall 2009
Homework Assignment #1
Problem 4
This m-file creates the plots for Problem 4
% Create time variable
t = -4:0.01:8;
% Problem 4(a)
x = 2*(t>=-1) - 4*(t>=0) + 3*(t>=1) - (t>=2) ;
figure(1)
plot(t,x,'linewidth',2)
xlabel('t')
ylabel
ECE 308
SIGNALS AND SYSTEMS
Examination #3
23 April 2013
SPRING 2013
Name:
Instructions:
The examination lasts for 75 minutes and is closed book, closed notes. No electronic devices
are permitted, including but not limited to calculators, cellphones, and
ECE 308 Signals and Systems (Spring 2016)
Instructor: Prof. Joohee Kim
Office: Siegel Hall 329
Phone: 312-567-8649
E-Mail: joohee@ece.iit.edu
Office hours: Tue/Thu 10:00~ 11:00 AM SH-329, or by appointment
Time and Place: Tue/Thu 1:50~3:05 Herman Hall 010
ECE 308
SIGNALS AND SYSTEMS
Examination #3
15 November 2012
FALL 2012
Name:
Instructions:
The examination lasts for 75 minutes and is closed book, closed notes. No electronic devices
are permitted, including but not limited to calculators, cellphones, and