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FEKT-MPC-ARSAcad. year: 2024/2025
The proposed structure of the subject focuses on the use of selected mathematical techniques in modern communication signal processing and wireless communication theory. The goal is to present students specialized mathematical apparatus, which is essential to understanding the principles of modern wireless communications.
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Lecture
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Syllabus
1. Introduction to probability theory. 2. Random variable. 3. Central limit theorem. 4. Random vectors. 5. Estimation: theory and applications 6. Random processes I. 7. Random processes II. 8. Correlation of stochastic signals 9. Spectra of stochastic signals 10. Criteria and parameter estimation. 11. Detectors and classification. 12. Detection of signals hidden in noise. 13. Gaussian mixture models. PCA.
Exercise in computer lab
1. Introduction to the course 2. Probability in examples 3. Discrete RV modelling 4. Modeling continuous RV 5. CLV 6. Estimation and testing in Matlab 7. Testing random processes 8. Correlation of stochastic processes 9. Spectrum estimation of stochastic processes 10. ROC curve 11. Detectors and detection 12-13. Individual project presentation