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Digital signal processing and mathematics 1 (Spring 2004) |
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| Course code : | EDSM1-U01 | ||
| ECTS Credits : | 10 | Status : | Compulsory |
| Revised : | 20/02 2004 | Written : | 22/06 2000 |
| Placement : | 1. semester | Hours per week : | 8 |
| Length : | 1 semester | Teaching Language : | Danish and English |
| Objective : | The objective of the course is to enable the student: To apply complex numbers in the description of sinus formed signals. To apply vectors and matrices e.g. in the description and solution of systems of linear equations. Have knowledge of numeric methods used in the solution of systems of linear equations and comprehend numeric problems related to these methods. To apply differential equations in the description and solution of simple electrical networks. Comprehend the idea of a series and in simple cases analyse the convergence properties of a series. Apply power series and Fourier series for the analysis and synthesis of functions (signals). Apply MATLAB for simulation and analysis of signals and systems. | ||
| Principal Content : | The course is organized into two halves with equal emphasis: Introductory mathematics and Digital signal processing. Teaching digital signal processing has the objective of supporting the learning and application of mathematical topics. Through digital signal processing mathematics can easily be related to the "real world". Main contents of introductory mathematics: -Complex numbers. -Linear algebra (vectors and matrices). -Differential equations (second order with constant coefficients) -Sequences and series. -Power, Taylor and Maclaurin series Main contents of digital signal processing: -Representation of sinusoidal signals using real and complex form. -Spectrum of signals. Continuous-time Fourier series. MATLAB is used as simulation tools with the goal of supporting the learning process. | ||
| Teaching method : | Classroom teaching, exercise solving and simulation using MATLAB. | ||
| Required prequisites : | None | ||
| Recommended prerequisites : | None | ||
| Relations : | The compulsory exercises are a part of the semester project. | ||
| Type of examination : | Look under remarks | ||
| External examiner : | Internal | ||
| Marking : | Passed/Not passed | ||
| Remarks : | A number of the exercises are compulsory and must be approved in order to enter the exam. The oral exam is individual. The student will be given a case study 3 days before the examination, which covers the curriculum. The case study will be used as a starting point at the oral exam. | ||
| Teaching material : | James McClellan, Ronald Schafer, Mark Yoder: DSP First - a multimedia approach, 1/e (Prentice Hall 1997). Anthony Croft, Robert Davison, Martin Hargreaves: Engineering Mathematics, 3rd ed. 2001. Notes. Supplementary literature: The MathWorks Inc.: Getting started with MATLAB 6.(Print of MATLAB online documentation) Duane C. Hanselman & Bruce Littlefield: Mastering MATLAB 6, A comprehensive tutorial and reference. (Prentice Hall) Biran and Breiner: MATLAB6 for Engineers, Prentice Hall. ISBN 0-13-033631-9. |
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| Responsible teacher : | Halfdan Larsen
, halla@dtu.dk |
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