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
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:
Speci
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 ques
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
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
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 t
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 quest
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) =
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 impu
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.
Yo
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 ques
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 impu
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. Y
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) =
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 f
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.
Yo
EEE2035F: Signals and Systems I
1. (5 marks) Suppose x(t) is as shown below:
1
x(t)
Class Test 1
t
0
11 March 2013
1
Sketch the following signals:
(a) y1 (t) = x(2 t)
SOLUTIONS
(b) y2 (t) = x(t 2)
(c)
EEE2035F: Signals and Systems I
1. (5 marks) Suppose x(t) is as shown below:
1
x(t)
Class Test 1
t
0
11 March 2013
Sketch the following signals:
(a) y1 (t) = x(2 t)
(b) y2 (t) = x(t 2)
Name:
(c) y3 (t
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
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.
Yo
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 numbe
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) = co
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 ha
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)
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.
Yo
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:
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) Pl
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.
Yo