ELEC201 Signals and Systems
Fall 2012
Midterm Exam 1
November 14th , 2012
4 Problems, 100 Minutes
Closedbook and closednotes exam; calculators, cellphones, PDAs are NOT allowed!
Clearly show all your work! Answers without justication will not receive an
ELEC 201 HW #1
October 6th, 2011
Problem 1 Transformations
Transform (if applicable!) the following CT and DT signals using time shift, time
reversal and time scaling properties and plot the resulting signals.
I.
a)
b)
II.
a)
b)
c)
c)
Problem 2 Periodicit
ELEC201 Signals and Systems
Fall 2013
Midterm Exam 2
November 29th , 2013
4 Problems, 100 Minutes
Closedbook and closednotes exam; calculators, cellphones, PDAs are NOT allowed!
Clearly show all your work! Answers without justification will not receive
ELEC201 Signals and Systems
Name:
Id:
Fall 2014
Inclass Quiz 1
Section 2
Q1. Determine if the system defined by the following inputoutput relationship is linear, timeinvariant, casual, stable,
memoryless. (Justify shortly!)
y(t) = x(2 t)
Linear.
Let x1
ELEC201 Signals and Systems
Fall 2014
Midterm Exam 2
December 23nd , 2014
4 Problems, 120 Minutes
Closedbook and closednotes exam; calculators, cellphones, PDAs are NOT allowed!
Clearly show all your work! Answers without justification will not receive
ELEC201 Signals and Systems
4 Problems, 90 Minutes
Midterm Exam 1
November 8th, 2010
Fall 2010
Closed—book and closednotes exam; calculators, cellphones, PDAs NOT allowed!
Clearly show all your work! Answers Without justiﬁcation will not receive any cred
ELEC 201
FALL 2014
PS Questions of Week 17th Nov.
1)
a.
b.
c.
d.
Find the Fourier transforms of the following signals:
x(t) =ejwo
x(t) = cos (wot)
x(t) = [et cos (wot)]u(t)
y(t) = x(t)*h(t) where x(t) = etu(t), h(t) = etu(t)
2) Consider a continuoust
ELEC201 Signals and Systems
Fall 2012
Midterm Exam 2
December 25th , 2012
5 Problems, 120 Minutes
Closedbook and closednotes exam; calculators, cellphones, PDAs are NOT allowed!
Clearly show all your work! Answers without justification will not receive
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ELEC201 Signals and Systems
Fall 2012
Midterm Exam 2
December 25th , 2012
5 Problems, 120 Minutes
Closedbook and closednotes exam; calculators, cellphones, PDAs are NOT allowed!
Clearly show all your work! Answers without justification will not receive
ELEC201 Signals and Systems
PS Questions
Week of Nov. 10th 2014
1) Determine the Fourier series representation of x(t ) for each of the following cases:
a) x(t ) 3 cos 4t
e t ,
0,
b) x(t )
sin10t
4
3
0 t 1
and x(t ) x(t 2)
1 t 2
c) () = 1.2 + 2+1 + (
ELEC201 Signals and Systems
Fall 2013
Midterm Exam 1
November 2nd , 2013
4 Problems, 100 Minutes
Closedbook and closednotes exam; calculators, cellphones, PDAs are NOT allowed!
Clearly show all your work! Answers without justification will not receive a
ELEC201 Signals and Systems
Fall 2014
PS Questions
Week of 15 December
1. Modulation
(a) For the given input signal below, find the minimum carrier frequency which provides demodulated signal to be
recovered perfectly.
(b) For the given input signal and S
ELEC201 Signals and Systems
Fall 2014
PS Questions
Week of 1 December
1. Parsevals Theorem
If the signals x(t) and y(t) have the CT Fourier transform pairs such that
FT
x(t) X(w)
FT
y(t) Y (w)
Then show that the following relationship holds:
Z
Z
1
X(w)Y
Due: Oct. 13th, 2011  17:00
ELEC 201 HW #2
Problem 1 Transformations
Apply the following transformations to the given signals and plot the results without
evaluating analytical expressions of the given signals.
I.
II.
a)
b)
c)
a)
b)
c)
Problem 2 System P
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Due Date: 20th of October, 2011 05.00 PM
ELEC 201 HW # 3
Question 1: Discrete Time Convolution
Determine the output of the LTI system,
whose impulse response h[n] is given on the
right, using DT convolution, if the input is:
a)
b)
[]
[]
[]
[
]
[
]
[
]
Que
Due Date: 27th of October, 2011 05.00 PM
ELEC 201 HW # 4
Question 1: CT Convolution
Determine the CT convolution graphically for the following two cases:
a)
b)
Question 2: Differential and Difference Equations
For the following difference and differential
Due: Nov. 24th, 2011  17:00
ELEC 201 HW #6
Problem 1 Evaluate the Fourier transform for the following signals:
i)
ii)
iii)
iv)
as depicted in Figure 1.
et
x(t)
2
e t
0
t
2
Figure 1
v)
as depicted in Figure 2.
x(t)
1
2
2
t
0
1
Figure 2
Problem 2 Evalu
ELEC 201 HW # 10
Question 1: Nyquist Sampling Rate
For the following signals, calculate the maximum allowable sampling rate that does not
cause aliasing:
a)
b)
c)
()
()
()
(
(
(
)
)
)
(
(
)
)
Question 2: Sampling with Impulse Train
A signal x(t) is given
Due: Dec. 15th, 2011  17:00
ELEC 201 HW #9
[10P] Problem 1 Two sequences
and
interval
if they satisfy the condition
are called orthogonal sequences on an
where denotes conjugation. A set of signals forms an orthogonal set if all pairs of signals
within t
Due: Dec. 1st, 2011  17:00
ELEC 201 HW #7
Problem 1 Consider the modulated signal
demodulated by applying it to a synchronous detector.
. This modulated signal is
a) Determine the output of the demodulator if the local carrier frequency of the demodulato
Due: Nov. 17th, 2011  17:00
ELEC 201 HW #5
Problem 1 Determine whether the following signals are periodic. If they are periodic, find the
fundamental period.
i)
ii)
iii)
for w(t) depicted in Fig. 1.a.
for w(t) depicted in Fig. 1.a.
depicted in Fig. 1.b.
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