Cork Institute of Technology
Bachelor of Engineering (Honours) in Electronic Engineering- Award
(NFQ Level 8)
January 2007
Mathematics And Digital Signal Processing
(Digital Signal Processing)
(Time: 1.5 Hours)
Answer ONE question from EACH section.
All questions carry equal marks.
Examiners: Dr. J. Connell
Prof. G. Hurley
Dr. S. Foley
Section A
Q1.
a) Outline how the processes of sampling and quantisation can result in the loss of
information during analogue-digital conversion. (8 marks)
b) An analogue signal is given by the expression: )
3
28sin(23)(
π
π
−−−= ttx V.
It is sampled at Hzfs100=.
After how many samples will the sequence repeat itself? What is
ω
for each
component in
x
? What do these values mean?
Calculate )2(x.
Write out an expression for a signal in the frequency range 10050
<
<
a
fHz
which would produce an identical stream of samples for the same Hzfs100
=
.
(9 marks)
c) Discuss the operation of the zero-order hold DAC. Include reference to the spectrum of its
output signal. (8 marks)
