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ELEC201 Signals and Systems
Fall 2012
Midterm Exam 2
December 25th , 2012
5 Problems, 120 Minutes
Closed-book and closed-notes 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
Closed-book and closed-notes 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
ELEC201 Signals and Systems
Fall 2012
Midterm Exam 2
December 25th , 2012
5 Problems, 120 Minutes
Closed-book and closed-notes exam; calculators, cellphones, PDAs are NOT allowed!
Clearly show all your work! Answers without justification will not receive
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) =e-jwo
x(t) = cos (wot)
x(t) = [e-t cos (wot)]u(t)
y(t) = x(t)*h(t) where x(t) = e-tu(t), h(t) = etu(-t)
2) Consider a continuous-t
ELEC201 Signals and Systems
Fall 2013
Midterm Exam 2
November 29th , 2013
4 Problems, 100 Minutes
Closed-book and closed-notes 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
In-class Quiz 1
Section 2
Q1. Determine if the system defined by the following input-output relationship is linear, time-invariant, 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
Closed-book and closed-notes exam; calculators, cellphones, PDAs are NOT allowed!
Clearly show all your work! Answers without justification will not receive
ELEC201 Signals and Systems
Fall 2015
HOMEWORK 2
1. Power and Energy Signals
State whether the following is a power or energy signal. Note that it can be neither.
x(t) = 2t
z(t) = cos tsin2t
r(t) = ln t
y(t) = et cos t
q(t) = et sin t
s(t) = x(t) +
ELEC201 Signals and Systems
Fall 2014
HOMEWORK 7
Problem 1. Given the relationships
y(t) = x(t) h(t)
and
g(t) = x(3t) h(3t)
and given that x(t) has Fourier transform X(j) and h(t) has Fourier transform H(j), use Fourier transform properties to show that g
Name:
December 15, 2010
ELEC-401
MIDTERM II
1. (25pts) For the transmission line circuit given below
a. at t=0+, what is the voltage and current in the voltage and current waves that
start to travel down the line?
b. at t=T/3, when the wave reaches the 30
Name:
Dee. 13, 2005
ELEC-401
MIDTERM-2
1.
For a TEM supporting lossless transmission line, as shown below,
x
)
x=O
(\)
x=/
dV
dx
=-z
dI = -YV
dx
Name:
2.
Based on the following circuit,
L
Vg =2 V(peak); Z =50n
:33
i
~ . R
z, = 50n; L=2 nH;gC=LpF;
R=75 n ;
Name:
May 13, 2011
ELEC 401
Midterm II
Some useful vector identities:
1.
, where A is a vector function.
2.
, where f is a scalar function, and A is a vector function.
3.
4.
5.
, where k and r are vector quantities
;
1. (20pts)
A radio transmitter is capa
Name:
November 5, 2012
ELEC-401
MIDTERM-1
Some useful vector identities:
1.
, where A is a vector function.
2.
, where f is a scalar function, and A is a vector function.
3.
4.
5.
1.
, where k and r are vector quantities
;
a. Show the steps of writing the
ELEC 401 Microwave Electronics
ELEC 401
MICROWAVE ELECTRONICS
Lecture 3
Instructor: M. radi Aksun
Acknowledgements:
1. Animation on the visualization of EM waves was taken from the following
web page:
http:/web.mit.edu/~sdavies/MacData/afs.course.lockers/
Name:
April 11, 2011
ELEC-401
MIDTERM-1
1.
a) Show the steps of writing the differential form of Faradays law in time-harmonic
form (phasor form) for the time dependence of
, starting from its time-dependent form.
Then, write down the rest of Maxwells equ
ELEC 401 Microwave Electronics
ELEC 401
MICROWAVE ELECTRONICS
Instructor: M. radi Aksun
E-mail: [email protected]
Phone: 0212 338 1539
Textbooks:
1. Microwave Engineering by D. M. Pozar, 2nd Edition, John Wiley & sons,
Inc. 1998.
2. Modern Microwave Circui
Name:
October 31, 2011
ELEC-401
MIDTERM-1
Some useful vector identities:
1.
, where A is a vector function.
2.
, where f is a scalar function, and A is a vector function.
3.
4.
5.
1.
, where k and r are vector quantities
;
(10pts) a) Show the steps of wri
Name:
Jan. 5, 2013
ELEC-401
Make-up exam for MIDTERM-1
Duration: 90 Mins.
Some useful vector identities:
1.
, where A is a vector function.
2.
, where f is a scalar function, and A is a vector function.
3.
4.
5.
1.
, where k and r are vector quantities
;
ELEC 401 Microwave Electronics
ELEC 401
MICROWAVE ELECTRONICS
Lecture 1
Instructor: M. radi Aksun
Acknowledgements:
1. Two animations on Faradays law were taken from the following web page:
http:/web.mit.edu/jbelcher/www/inout.html
2. Artworks used to dis
February 2012
ECE 232 Advanced Electrical Circuit Analysis
Lab2 - Second Order Circuits
Preliminary Work:
1a.
C = 4.7 nF
L = 0.1 H
Vin(t) =Vpeak. u(t) volts
,
KVL around the loop gives;
,
,
or we can write this equation in the operator format
which has th