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Digital signal processing and mathematics 4 (Fall 2003)

Course code : EDSM4-U01
ECTS Credits : 10 Status : Compulsory
Revised : 05/11 2003 Written : 06/12 2001
Placement : 4. semester Hours per week : 8
Length : 1 semester Teaching Language : Danish and English

Objective : The study module should make the student able to:

-analyze digital filters of the IIR type using the difference equation, the impulse response, the frequency response, the transfer function in the z-domain (the system function) and poles/zeroes

-design (synthezise) and simulate a frequency selective digital IIR filter using MATLAB

-understand elementary definitions, concepts and calculation methods concerning probability and statistics and to use these in the description of stochastic signals

-estimate 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 consider different standards

-work out, defend and elaborate the documentation of the problems carried during the course.
Principal Content : The main content is divided into three parts: A, B and C

A. Digital filters with infinite impulse response (IIR filters)
Z-transformation.
Analysis of IIR filters in time and frequency domain.
Design methods for IIR filters (using MATLAB)
Filter Structures.
Implementation on signalprocessors

B. Probability and signals:
Probability and Probability Distributions.
Stochastic Signal Models.
Elementary Information Theory and Source Coding.

C. Speech Coding in telecommunication.
Quantizing noise and companding.
DPCM and prediction, ADPCM
Pitch-excited LPC
Modern speech coding standards - principles. (GSM etc).
Teaching method : In the beginning of the semester the teaching will be a mixture of ordinary classroom teaching and problem work partly based on MATLAB as the simulation tool. This form makes up 50% to 75% of the scheduled time in the semester, distributed as 100% in the beginning of the semester and 0% at the end of the semester.

In relation to the contents items A and B two larger course assignments has to be carried out and documented in writing.

In relation to the contents item C a larger course assignment has to be carried out and documented in a report.
Required prequisites : Documented knowledge similar to DSM2
Recommended prerequisites : -
Relations : -
Type of examination : Look under remarks
External examiner : External
Marking : Scale of 13
Remarks : The examination is a group examination

The assignments must be approved in order to enter the exam.

The examination will take place in two fases:
NOT TRANSLATED - see danish version
Teaching material : James McClellan, Ronald Schafer, Mark Yoder:DSP First - a multimedia approach, 1/e (Prentice Hall 1997)

Croft, Davison, Hargreaves: Engineering Mathematics (Addisson Wesley)
Responsible teacher : Agnethe Knudsen , ak@ihk.dk