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 applicational 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:
Aquire 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.
Aquirement of Matlab skills
Kursusindhold:
The main content is divided into four parts: A, B, C and D:
A. Discrete time Fourier analysis:
Discrete time Fourier transform (DTFT) and inverse (IDTFT).
Discrete Fourier transform (DFT/FFT) and inverse (IDFT/IFFT).
Practical spectral analysis: Spectrum analysers, frequency
resolution, amplitude precision, window functions, leakage, zero
padding.
B. Probability and stochastic signals:
Probability: definitions, calculus and Probability Functions.
Stochastic Signals. Elementary Information Theory and Source
Coding.
C. Speech Coding in telecommunication:
Quantization noise, linear Pulse Code Modulation (PCM) and
companding. Differential PCM (DPCM) and linear prediction, adaptive
DPCM (ADPCM), Pitch-excited linear predictictive coding (LPC).
Possibly modern speech coding principles and standards (GSM , CELP
etc).
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.
