EEE4001F: Digital Signal Processing
Class Test 1
20 March 2008
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) A sequenc
EEE4001F: Problem Set 1
1. For each of the following systems, determine whether the system is (1)
stable, (2) causal, (3) linear, (4) time-invariant, and (5) memoryless:
P
a. T (x[n]) = nk=n 0 x[k]
b. T (x[n]) = x[n n 0 ]
c. T (x[n]) = e x[n]
d. T (x[n])
EEE4001F EXAM
DIGITAL SIGNAL PROCESSING
University of Cape Town
Department of Electrical Engineering
June 2013
3 hours
Information
The exam is closed-book.
There are two parts to this exam.
Part A has six questions totalling 50 marks. You must answer a
EEE4001F: Digital Signal Processing
Class Test 2
1. (5 marks) An analog signal xa (t) is known to have no frequency content higher than 1000
Hz. We sample xa (t) at Fs = 3000 Hz, and the resulting magnitude spectrum, plotted
versus discrete frequency , is
EEE4001F: Digital Signal Processing
Class Test 2
20 April 2012
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) An analog
EEE4001F: Digital Signal Processing
Class Test 2
21 April 2011
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) Determine
EEE4001F: Digital Signal Processing
Class Test 2
22 April 2010
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
EEE4001F: Digital Signal Processing
Class Test 2
23 April 2009
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
EEE4001F: Digital Signal Processing
Class Test 2
30 April 2008
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) Find wn D
EEE4001F: Digital Signal Processing
Class Test 1
16 March 2012
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) For the s
PART A
Basic digital signal processing theory.
EEE4001F EXAM
DIGITAL SIGNAL PROCESSING
1. A sequence x[n] has a zero-phase DTFT X (ej ) given below:
1
University of Cape Town
Department of Electrical Engineering
/3
X (ej )
/3
Sketch the DTFT of the sequen
EEE4001F: Digital Signal Processing
Class Test 1
20 March 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) Given the
EEE4001F: Digital Signal Processing
Class Test 1
20 March 2013
1. (5 marks) Given the sequence
x[n] = 2 [n + 3] + (3 n)(u[n] u[n 3]),
sketch the following sequences (for 4 n 4):
(a) y1 [n] = x[n]
(b) y2 [n] = x[2n 3]
SOLUTIONS
(c) y3 [n] = x[|n|].
Plots a
EEE4001F: Digital Signal Processing
Class Test 1
17 March 2011
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) If x[n] i
EEE4001F: Digital Signal Processing
Class Test 1
11 March 2010
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) If xn is
EEE4001F: Digital Signal Processing
Class Test 1
18 March 2009
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) Find wn D