System Properties: 1. Determine if the following systems are timeinvariant, 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[
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 sig
Periodic Signals: 1. For the following signals, (i) determine analytically which are periodic (if periodic, give the period) and (ii) sketch the signals. (Scale your time axis so that a sufficient amo
ECE 308 SIGNALS AND SYSTEMS FALL 2015
Examination #1
29 September 2015
Nam. M
Instructions:
The examination lasts for 75 minutes and is closed book, closed notes. No electronic devices
are permitted,
ECE 308
SIGNALS AND SYSTEMS
Examination #3
15 November 2011
FALL 2011
Name:
Instructions:
The examination lasts for 75 minutes and is closed book, closed notes. No calculators
permitted. A table of pr
ECE 308
SIGNALS AND SYSTEMS
Final Examination
8 May 2013
SPRING 2013
Name:
Instructions:
The examination lasts for 120 minutes. You are permitted use of the course textbook as
well as two pages of not
ECE 308 SIGNALS AND SYSTEMS FALL 2015
Examination #2
29 October 2015
So LmTlOMS
Name:
Instructions:
The examination lasts for 75 minutes and is closed book, closed notes. No electronic devices
are per
Some properties of the Fourier transform
Linearity
a x(t) + b v(t) a X() + b V ()
Time shift
Time scaling
x(t c) X()ejc
x(at) a1 X a , for a > 0
Time reversal
x(t) X()
Multiplication by a power of t
d
ECE 308
SIGNALS AND SYSTEMS
HOMEWORK ASSIGNMENT #10
Due: 4 December 2015
FALL 2015
1. Find the inverse Laplace transform of each of the following functions, computing the
partial fraction decompositio
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, in
ECE 308 Signals and Systems (Spring 2016)
Instructor: Prof. Joohee Kim
Office: Siegel Hall 329
Phone: 3125678649
EMail: [email protected]
Office hours: Tue/Thu 10:00~ 11:00 AM SH329, or by appoin
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ECE 308 Fall 2009
Homework Assignment #1
Problem 2
This mfile creates the plots for Problem 2
CORRECTED ON 15 SEP 2009 (minus sign inserted in first
line of the code Problem 2(a)
ECE 308
SIGNALS AND SYSTEMS
Final Examination
3 May 2011
SPRING 2011
Name:
Instructions:
The examination lasts for 120 minutes and is an open book, open notes exam. No electronic devices are permitted
% ECE 308, Fall 2015
% HW #7, problem 3 solution
clear
close all
load hw7p3
ound(x,fs)
X = fft(x) ;
N = length(X) ;
k = [0:N1] ;
figure(1)
plot(k,abs(X)
xlabel('index k')
ylabel('X_k')
title('Probl
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,
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 limi
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, inc
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, includi
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 devic
ECE 308
SIGNALS AND SYSTEMS
Answers to selected problems on prior years examinations
FALL 2012
Answers to problems on Midterm Examination #1, Spring 2009
1. x(t) = r(t + 1) r(t 1) u(t 1) 2 r(t 2) + 2
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,
ECE 308
SIGNALS AND SYSTEMS
HOMEWORK ASSIGNMENT #8
Due: 17 November 2015
1. An ideal linearphase lowpass filter has the frequency response function
j
e , 2 < < 2
H() =
0,
all other
(a) 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
t=[0:0.001:10];
function [xs,xr]=stepramp(t0,t1,delta)

cfw_Error: Function definitions are not permitted in this context.
x = 0.2*sin(2*t) + 0.4*sin(3.5*t) + 0.3*sin(5.5*t);
plot(t,x)
t0 = 0;
t1