Czech

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Students after completing the course should be able to solve problems associated with verification and testing assumptions and properties of the investigated phenomena and data files in the telecommunications field. The student is able to: (a) quantifying the probability of the event; (b) distinguishing between the random variables and describe their characteristics; (c) to test the hypothesis; (d) analyse and describe measurements; (e) estimating the shape of the spectrum and identify the spectral components; (f) identify and test the presence of a signal in noise; (g) evaluate the classification and construct the ROC curve.

A student who register the course should be able to: i) To compose a simple program in Matlab; ii) Practicing a mathematical calculation procedures.

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1. Introduction to probability theory.
2. One random variable. Complete characterisation.
3. Random vectors.
4. The Central Limit Theorem.
5. Confidence intervals and hypothesis testing.
6. Random processes.
7. Correlation analysis
8. Spectrum estimation techniques.
9. MMSE estimation
10. Classification and ROC curve.
11. Detection of signals hidden in noise.
12. Modelling of signals
13. Filtering of signals

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The goal of the subject is to present students specialized mathematical-statistical apparatus, which is essential to understanding the principles of modern wireless communications.

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CYHELSKÝ, L. Úvod do teorie statistiky. 2. upr. Praha: SNTL, 1981, 347 s. (CS)
STEHLÍKOVÁ, B., TIRPÁKOVÁ, A., POMĚNKOVÁ, J., MARKECHOVÁ, D. Metodologie výzkumu a statistická inference. 9. vyd. Brno: Folia univ. agric. et silvic. Mendel. Brun., 2009. II. ISBN 978-80-7375-362-7. (CS)

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