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Digital signal processing and mathematics 3 (Fall 2005)

Course code : IDSM3A-U01
ECTS Credits : 10 Status : Compulsory
Revised : 25/02 2005 Written : 06/12 2001
Placement : 3. semester Hours per week : 8
Length : 1 semester Teaching Language : Danish

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 : Oral examination based on assignments
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: Signal Processing First. (Prentice Hall 2003). ISBN 0-13120265-0.

Croft, Davison, Hargreaves: Engineering Mathematics (Addisson Wesley)
Responsible teacher : Keld Baden-Kristensen , keba@dtu.dk