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Digital signal processing and mathematics 3 (Spring 2007) |
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| Course code : | IDSM3A-U01 | ||
| ECTS Credits : | 10 | Status : | Compulsory |
| Revised : | 27/03 2006 | 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 : | Before the examination: A presentation by each group member of a self-chosen topic from the item C/D course assignment in prescence of the entire group. It is required that the topic selection is coordinated between group members to be non-overlapping and cover major points of the item C and D assignment with professional width and depth. Approximately 5 minutes per student is available for this presentation. Examination: Internal and external examiner ask supplementary questions to the presentation. After this the students are examined in a topic, drawn at random from a pool of topics originating from the course assignments and the teaching as a whole. Approximately 15 minutes per student is available for this examination. The grade is given on the basis of the quality of the report of the item C/D assignment and the presentation/defence of the self-chosen topic (50%) and the individual examination in the randomly drawn topic (50%). |
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| 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) |
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| Responsible teacher : | Keld Baden-Kristensen
, keba@dtu.dk |
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