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02451 Digital Signal Processing

Danish title: 


Digital signalbehandling

Language:


Point (ECTS )


10

Course type:   

Advanced course
Taught under open university


Schedule:

E5

 

Scope and form:

The activities alternate between lectures, problem classes and hands-on Matlab exercises. Exercises are carried out in teams of 2-3 students.

Duration of Course:

13 weeks

Date of examination:

E5B,   F5B 

Type of assessment:

Exam duration:

Aid:

Evaluation:

Not applicable together with:

Qualified Prerequisites:


General course objectives:

To provide the participants knowledge of
* Fundamental and widely applied digital signal processing methods,
* Matlab as a tool for development of signal processing algorithms,
The course thus enables the participants to construct a digital signal processing system.


Learning objectives:

A student who has met the objectives of the course will be able to:
  • Describe different signal classes and identify the relevant spectral representation
  • Explain and apply properties of discrete time signal processing systems
  • Apply Fourier transform properties to compute the spectrum of a signal
  • Analyze a discrete time signal processing system and calculate associated transfer functions
  • Explain sampling and reconstruction processes and determine the relevant parameters in specific applications
  • Deduce and determine how the discrete and fast Fourier transform can be applied for computation of signal spectra and in filtering operations
  • Deduce and apply correlation functions and power spectra for various signal classes, in particular for stochastic signals
  • Construct and apply simple multi-rate signal processing systems
  • Analyze adaptive filtering problems and demonstrate the application of Wiener or adaptive filter components
  • Solve and interpret the result of signal processing problems by use of Matlab
  • Design of simple, specific signal processing systems based on an analysis of involved signal characteristics, the objective of the processing system, and utility of methods presented in the course
  • Describe a number of signal processing applications and interpret the result of using specific signal processing methods

Content:

Signals and systems; signals with finite energy and finite power; signal sampling and reconstruction; frequency analysis of signals; the discrete Fourier transform and FFT; stochastic signals; correlation functions and power spectra; multirate signal processing; the Wiener filter; adaptive filters.


Course literature:

Textbook: J.G. Proakis and D.G. Manolakis: Digital Signal Processing: Principles, Algorithms, and Applications, Printice-Hall 2007, 4th Edition. Additional course material is provided at the course homepage.


Remarks:

This course and 02453 are basic courses in digital signal processing. Advanced courses are 02457, 02459. The subject of the written exam will be closely linked with topics considered in exercises and problem classes.


Responsible:

Jan Larsen, 321, 015, (+45) 4525 3923,  

Department:

02 Department of Informatics and Mathematical Modeling

Home page:

http://www.imm.dtu.dk/courses/02451

Registration Sign up:

At CampusNet

Keywords:

Signal processing, Adaptive filters, Fourier transform, Stochastic signals, Correlation functions
Last updated: April 19, 2012

See course in DTU Course base


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