E4A (tirs 13-17) og E1B (tors 13-17)
F1A (man 8-12) og F4B (fre 8-12)
Undervisningens placering:
Campus Ballerup
Undervisningsform:
A mixture of classroom lecturing and problem work solving,
partly based on MATLAB as the simulation tool. In relation to the
contents of items A and B, 2 course assignments have to be carried
out and documented in writing. In relation to the content of item C
a large course assignment involving speech coding practise and
design has to be carried out and documented in a report.
Purpose:
Development of mathematical key competences of digital signal
processing for electronic and IT engineers. The course mixes a
theoretical and applicable aim with emphasis on problem-orientation
and the use of Matlab to support the learning.
Læringsmål:
En studerende, der fuldt ud har opfyldt kursets mål, vil kunne:
Acquire mathematical key competences for electronic and IT
engineers.
Analyse discrete-time linear time invariant systems in the time
domain.
Analyse discrete-time signals and systems in the frequency
domain.
Apply elementary definitions, concepts and calculation methods
concerning probability and statistics.
Ability to make descriptions and analysis of stochastic
signals.
Evaluate the possibility for data compression of a signal
source on basis of the source’s statistical properties.
Explain the fundamental principles for speech coding and
evaluate different standards.
Work out, elaborate and defend the documentation of the
compulsory group assignments of the course.
Acquirement of Matlab skills
Kursusindhold:
Hovedindholdet er inddelt i tre dele: A, B og C :
A. Diskret-tids transformationer:
z-transform. Diskret-tids Fourier transformation (DTFT) og inverse
(IDTFT). Diskret Fourier transform (DFT/FFT) and inverse
(IDFT/IFFT). Praktisk spektral analyse: frekvensopløsning,
amplitude præcision, vinduesfunktioner, spektral udsivning, zero
padding.
B. Sandsynlighedsteori og stokastiske signaler:
Sandsynlighedsteori: definitioner og grundlæggende sætninger,
stokastiske variable, Fordelings -og tæthedsfunktioner for
stokastiske variable. Stokastiske processer. Elementær
Informationsteori og kildekodning.
C. Talekodning i telekommunikation:
Kvantiseringsstøj, linear Pulse Code Modulation (PCM) og
companding. Differential PCM (DPCM) og lineær prædiktion, adaptiv
DPCM (ADPCM), Pitch-excited linear predictictive coding (LPC).
Talekodningsprincipper og -standarder.
Litteraturhenvisninger:
James McClellan, Ronald Schafer, Mark Yoder: Signal Processing
First. (Prentice Hall 2003). ISBN 0-13-120265-0.
Glyn James: Modern Engineering Mathematics (Addison Wesley)
Electronic notes available on the Campusnet fileshare and printed
handouts.
Bemærkninger:
- Oral examination based on the compulsory assignments and a
theoretical subject with grading - Scale of 7 stages:
12 is rewarded for a brilliant performance demonstrating knowledge,
routine, professional depth.
7 is rewarded for a more average performance demonstrating
knowledge, routine and depth with respect to almost all of the
learning outcomes- but with some more essential flaws.
2 is rewarded for a performance just acceptable in terms of basic
knowledge and routine.
