EEE2035F: Signals and Systems I
1. (5 marks) Sketch the following signals, where u.t / is the unit step function:
(a) x1 .t / D u.t /
u.t
Class Test 1
(b) x2 .t / D u.2t /
12 March 2010
(d) x4 .t / D u.t
/
(e) x5 ./ D u.t
/.
Name:
Student number:
Informat
EEE2035F: Signals and Systems I
1. (5 marks) Consider the two signals below:
1
Class Test 2
22 April 2013
0
1
x(t)
1
t
2
0
y(t)
1
2
The convolution v(t) = x(t) y(t) is as follows:
c
v(t)
a
Name:
Specify a, b, and c.
Student number:
Information
The test i
EEE2035F: Signals and Systems I
Class Test 2
22 April 2013
SOLUTIONS
Name:
Student number:
Information
The test is closed-book.
This test has four questions, totalling 20 marks.
Answer all the questions.
You have 45 minutes.
1. (5 marks) Consider the
EEE2035F: Signals and Systems I
1. (5 marks) Consider the two signals below:
x(t)
1
Class Test 2
22 April 2013
0
1
t
2
y(t)
1
0
1
t
2
The convolution v(t) = x(t) y(t) is as follows:
c
v(t)
SOLUTIONS
a
t
b
Specify a, b, and c.
The picture for the graphical
EEE2035F: Signals and Systems I
Class Test 1
16 March 2015
Name:
Student number:
Information
The test is closed-book.
This test has four questions, totaling 20 marks.
Answer all the questions.
You have 45 minutes.
1. (5 marks) Suppose
p (t) =
1
0
|t|
EEE2035F: Signals and Systems I
1. (5 marks) Suppose
p (t) =
Class Test 1
16 March 2015
(b) x2 (t) = p1 (2t + 4)
(c) x3 (t) = 2u(t)u(2 t).
Student number:
Information
The test is closed-book.
This test has four questions, totaling 20 marks.
Answer all
EEE2035F: Signals and Systems I
Class Test 1
16 March 2015
SOLUTIONS
Name:
Student number:
Information
The test is closed-book.
This test has four questions, totaling 20 marks.
Answer all the questions.
You have 45 minutes.
1. (5 marks) Suppose
p (t)
EEE2035F: Signals and Systems I
1. (5 marks) Suppose
p (t) =
Class Test 1
16 March 2015
1
|t| /2
0
otherwise
and u(t) is the unit step. Sketch the following signals over the range 3 t 3:
(a) x1 (t) = cos(4t )
SOLUTIONS
(b) x2 (t) = p1 (2t + 4)
(c) x3 (t)
EEE2035F: Signals and Systems I
1. (5 marks) The step response of a linear time-invariant system is given by
g(t) = [2 + 3e4(t+1) ]u(t + 1).
Class Test 2
(a) Plot g(t).
20 April 2015
(b) Find the impulse response of the system.
(c) Is the system causal or
EEE2035F: Signals and Systems I
Class Test 2
20 April 2015
Name:
Student number:
Information
The test is closed-book.
This test has four questions, totalling 20 marks.
Answer all the questions.
You have 45 minutes.
1. (5 marks) The step response of a
EEE2035F: Signals and Systems I
Class Test 2
20 April 2015
SOLUTIONS
Name:
Student number:
Information
The test is closed-book.
This test has four questions, totalling 20 marks.
Answer all the questions.
You have 45 minutes.
1. (5 marks) The step resp
EEE2035F: Signals and Systems I
1. (5 marks) The step response of a linear time-invariant system is given by
g(t) = [2 + 3e4(t+1) ]u(t + 1).
Class Test 2
(a) Plot g(t).
20 April 2015
(b) Find the impulse response of the system.
(c) Is the system causal or
EEE235F EXAM
SIGNALS AND SYSTEMS I
University of Cape Town
Department of Electrical Engineering
June 2005
2 hours
Information
The exam is closed-book.
There are eight questions totalling 90 marks. You must answer all of them.
The last two pages of this
EEE235F EXAM
SIGNALS AND SYSTEMS I
1. Consider the signal x(t) below:
2
x(t)
1
4
0
2
t
Sketch the following:
(a) y(t) = 2 2x(t)
University of Cape Town
Department of Electrical Engineering
(b) y(t) = x(t + 1)
(c) y(t) = x(t + 2)
(d) y(t) = x(t/2)
(e) y( )
EEE235F EXAM
SIGNALS AND SYSTEMS I
HINTS: June 2005
1. Fundamental. Part (e) is a bit tricky: is the variable and t a constant in this case, so the
shift is to the right by t. Remember the two delta functions in (g).
2. In the rst part we are looking for
EEE2035F: Signals and Systems I
Class Test 2
22 April 2013
Name:
Student number:
Information
The test is closed-book.
This test has four questions, totalling 20 marks.
Answer all the questions.
You have 45 minutes.
1. (5 marks) Consider the two signal
EEE2035F: Signals and Systems I
1. (5 marks) Sketch the following signals, where u.t / is the unit step function:
(a) x1 .t / D u.t /
u.t
Class Test 1
12 March 2010
(d) x4 .t / D u.t
/
(e) x5 ./ D u.t
1/
(b) x2 .t / D u.2t /
/.
(c) x3 .t / D u.2.t
1/
SOLU
EEE2035F: Signals and Systems I
Class Test 2
16 April 2010
Name:
Student number:
Information
The test is closed-book.
This test has four questions, totalling 20 marks.
Answer all the questions.
You have 45 minutes.
1. (5 marks) Find the complex expone
EEE2035F: Signals and Systems I
1. (5 marks) Find the complex exponential Fourier series representation of the periodic
signal below:
Class Test 2
(1)
16 April 2010
8 7 6 5 4 3 2 1
Name:
Student number:
Information
The test is closed-book.
This test has
EEE2035F: Signals and Systems I
1. (10 marks) Plot the signals given below. Where appropriate, assume that s(t) is the signal
1
Class Test 1
s(t)
0
11 March 2011
1
(a) x1 (t) = cos(t).
(b) x2 (t) = cos(t)u(t + 1).
(c) x3 (t) =
Name:
(d) x4 (t) =
(e) x5 (t
EEE2035F: Signals and Systems I
1. (5 marks) Find the complex exponential Fourier series representation of the periodic
signal below:
Class Test 2
(1)
16 April 2010
8 7 6 5 4 3 2 1
SOLUTIONS
Signal has period T = 6 so 0 =
2
6
=
3
(1)
1
x(t)
2
3
4
5
6
7
8
EEE2035F: Signals and Systems I
1. (10 marks) Plot the signals given below. Where appropriate, assume that s(t) is the signal
1
Class Test 1
s(t)
1
0
11 March 2011
t
3
(a) x1 (t) = cos(t).
(b) x2 (t) = cos(t)u(t + 1).
SOLUTIONS
(c) x3 (t) =
(d) x4 (t) =
d
EEE2035F: Signals and Systems I
Class Test 2
21 April 2011
Name:
Student number:
Information
The test is closed-book.
This test has four questions, totalling 20 marks.
Answer all the questions.
You have 45 minutes.
1. (5 marks) suppose x(t) is the sig
EEE2035F: Signals and Systems I
1. (5 marks) suppose x(t) is the signal below
1
x(t)
Class Test 2
2
21 April 2011
1
1
0
and let
(t nT )
p(t) =
n=
Name:
be an impulse train with T = 5.
Student number:
(b) Find and plot y(t) = p(t) x(t).
(a) Plot p(t) in th
EEE2035F: Signals and Systems I
1. (5 marks) suppose x(t) is the signal below
1
x(t)
Class Test 2
2
21 April 2011
1
1
0
and let
2
p(t) =
SOLUTIONS
t
3
(t nT )
n=
be an impulse train with T = 5.
(a) Plot p(t) in the time domain.
(b) Find and plot y(t) = p(
EEE2035F: Signals and Systems I
Class Test 2
23 April 2012
Name:
Student number:
Information
The test is closed-book.
This test has four questions, totalling 20 marks.
Answer all the questions.
You have 45 minutes.
1. (5 marks) For the following signa