ELEC242
Continuous-Time Signals and Systems
FULL NAME:
ID NUMBER:
Nick Name (maximum 8 characters):
If you provide a nick name, your grades will be announced using that nick
name, otherwise your ID number will be used.
=
Instructions for Examination
This

ELEC242-W
Available time: 75 minutes
CT Signals and Systems
Question 1 (5 marks):
Consider a continuous-time LTI system which has impulse response of h(t ) . The signal
x (t ) is applied at the input of this system. Draw the system output y (t ) versus ti

ELEC242
Assignment 4
CT Signals and Systems
Question 1:
Let x(t ) be a periodic signal as shown below:
x (t ) = 1 + sin t + 2 cos t + cos 2t +
4
a- Expand the sinusoidal signals directly in terms of complex exponentials and identify the Fourier
series co

ELEC242
Assignment 6
CT Signals and Systems
Question 1:
Find the Laplace transform and the corresponding ROC for each of the following signals:
d (t +1)
e
u (t + 1)
dt
(
)
a)
x (t ) = e t
b)
x(t ) = e 2 sin( )u ( )d
t
Solution 1:
a)
1
, Recfw_s > 1
s +1
e

ELEC242
Assignment 3
CT Signals and Systems
Question 1:
Consider an LTI continuous-time system which is characterized by the input/output relationship of
t 2
y (t ) =
(x( ) x( 2) )d .
a) Find the impulse response h (t ) of the system.
b) Using the impuls

ELEC-242/U Continuous-Time Signals and Systems:
Midterm Exam 1
M.A. Amer, Concordia University, Electrical & Computer Engineering
February 4, 2016
Q1
(20 marks)
Simplify theR following
expressions.
t cos (2t) (1 t)dt,
a) y(t) =
2
b) y(t) = (t 3) 4jt
, t

ELEC242
Continuous-Time Signals and Systems
Question 1:
Consider a continuous-time system which has input of x (t ) and output of y (t ) = x 2 (t ) .
a) Is this system linear? Why?
System is not linear as shown below:
Consider x1 (t ) y1 (t ) = x12 (t )
A

ELEC242
Assignment 5
CT Signals and Systems
Question 1: Use the defining equation for Fourier Transform to evaluate the frequency-domain
representations of the following three signals:
a) x(t ) = e 2t u (t 3) :
X ( ) = x(t )e
jt
X ( ) =
dt = e
2t
u (t 3

ELEC242-W
Continuous-Time Signals and Systems
Question 1: Consider a continuous-time system which has input of x(t ) and the output
of y (t ) =
e
2 t + jt
[x(t ) + x(t )]dt .
Evaluate the output signal y (t ) , if the input is x(t ) = (t ) .
Solution 1:
y

ELEC242-W
CT Signals and Systems
Question 1 (5 marks):
Consider a continuous-time LTI system which has impulse response of h(t ) . The signal
x (t ) is applied at the input of this system. Draw the system output y (t ) versus time t .
h (t )
x (t )
2
1
t

ELEC242
Assignment 4
CT Signals and Systems
Due Date and Time:
Tuesday March 8th at 5PM
Instructions:
Study sections 3.10 and 4.1-4.8 of the text book.
Solve following 3 questions. In solving these questions, consult the problems solved in
tutorial sessio

ELEC242
Assignment 1
CT Signals and Systems
Due Date and Time:
Thursday Jan. 21st at 11:45
Instructions:
Study parts of sections A.1-A.8, 1.1-1.4 and 2.1-2.5 of the text book.
Solve following 8 questions. In solving these questions, consult the problems s

ELEC242
Assignment 3
CT Signals and Systems
Due Date and Time:
Tuesday March 1st at 5PM
Instructions:
Study chapter 3.1 20 3.9 of the text book.
Solve following 5 questions. In solving these questions, consult the problems solved in
tutorial sessions.
Ass

ELEC242
Assignment 5
CT Signals and Systems
Due Date and Time: Wednesday April 6 at 5PM
Study sections 5.1-5.11 and 5.14 of the text book.
Solve following 6 questions. In solving these questions, consult the problems solved in
tutorial sessions.
Assignme

ELEC242
Assignment 6
CT Signals and Systems
Due Date and Time: Tuesday April 12 at 5PM
Study sections 6.1 up to 6.13 of the text book.
Solve following 6 questions. In solving these questions, consult the problems solved in
tutorial sessions.
Assignment sh

ELEC242
Assignment 2
CT Signals and Systems
Question 1
Consider a continuous-time system which has input of x(t ) and output of y (t ) = x (t ) x (t + 1) .
Find out the system properties from following points of view:
- Linearity
- Time-Invariance
- Causa

>
d ^ ^
Question 1:
Find value of complex number Z = X
2
X in polar form where X = 2.5 + j 3.5
Solution 1:
X
2
= (2.5 + j 3.5)(2.5 j 3.5) = 2.5 2 + 3.5 2 = 18.5
Z= X
2
X = 18.5(2.5 + j 3.5) = 46.25 + j 64.75 = a + jb
Z = re j = r (cos + j sin ) ) where

Continuous-Time Signals and Systems
ELEC 242-W, Winter 2016
Department of Electrical and Computer Engineering, Concordia University
Lectures: Tuesdays and Thursdays from 11:45 to 13:00 in room H-431
Tutorials: Fridays 11:45-13:25 in room H611 or 16:15-17:

ELEC-242/U Continuous-Time Signals and Systems:
Midterm Exam 1
M.A. Amer, Concordia University, Electrical & Computer Engineering
February 4, 2016
Q1
(20 marks)
Simplify the following expressions.
a) y(t) = t cos (2t) (1 t)dt,
2
b) y(t) = (t 3) 4jt , t
2t

ELEC242-W
Continuous-Time Signals and Systems
FULL NAME:
ID NUMBER:
Nick Name (maximum 8 characters):
If you provide a nick name, your grades will be announced using that nick
name, otherwise your ID number will be used.
=
Instructions for Examination
Th

ELEC242
Continuous-Time Signals and Systems
FULL NAME:
ID NUMBER:
Nick Name (maximum 8 characters):
If you provide a nick name, your grades will be announced using that nick
name, otherwise your ID number will be used.
=
Instructions for Examination
This

ELEC242
Assignment 4
CT Signals and Systems
Due Date and Time:
Tuesday March 8th Wednesday March 9th at 5PM
Instructions:
Study sections 3.10 and 4.1-4.8 of the text book.
Solve following 3 questions. In solving these questions, consult the problems solve

ELEC242
Assignment 3
CT Signals and Systems
Due Date and Time:
Tuesday March 1st at 5PM
Instructions:
Study chapter 3.1 20 3.9 of the text book.
Solve following 5 questions. In solving these questions, consult the problems solved in
tutorial sessions.
Ass

ELEC242
Sample Final Exam
CT Signals and Systems
Instructions for Examination
This is a closed book exam.
Standard type calculator may be used.
Cellular phones are not allowed.
Questions have equal weight.
Parts a and b of questions have equal weight

ELEC-242/U Continuous-Time Signals and Systems:
Midterm Exam 2
Maria A. Amer, Concordia University, Electrical & Computer Engineering
March 15th, 2016
Q1
(25 marks)
Convolution and LTI systems:
a) Compute the output y(t) of an LTI-system with the input x(

Lecture Slides for Signals and Systems
(Version: 2016-01-25)
Michael D. Adams
Department of Electrical and Computer Engineering
University of Victoria
Victoria, British Columbia, Canada
For additional information and resources related to these lecture sli