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                      | Detailed information |  
                      | Original study plan | Master's programme Mechatronics 2012W |  
                      | Objectives | This course aims to teach how to comprehend mathematical analysis of signal and systems where random is an issue, and to be able to digitally process information containing and therefore random signal sequences. |  
                      | Subject | This course covers the following topics:
Statistical properties of signals Basics of statistics and probability theory
 Statistical moments, Characteristic function, Likelihood
 Random processes, their characterisation and modelling
 Parameter estimation, Cramer-Rao-Lower-Bound, optimal estimator
 Signal detection, optimal reconstruction
 Application of statistical methods to problems in electro technics
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                      | Criteria for evaluation | Oral final exam - home exercises have to be handed in during the term |  
                      | Methods | Theory presented by lecturer, home exercises, oral final exam |  
                      | Language | German |  
                      | Study material | lecture notes: Statistische Signalverarbeitung William A. Gardner, Introduction to Random Processes, Mc Graw-Hill, Inc., ISBN: 0-07-022855-8.
 Steven M. Kay, Fundamentals of Statistical Signal Processing, Estimation Theory, Prentice Hall, ISBN: 0-13-345711-7
 Steven M. Kay, Fundamentals of Statistical Signal Processing, Detection Theory, Prentice Hall, ISBN: 0-13-504135-X
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                      | Changing subject? | No |  |