Course detail

Analysis of Radiocommunication Signals

FEKT-MPC-ARSAcad. year: 2023/2024

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.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

doc. RNDr. Jitka Poměnková, Ph.D.

Department

Department of Radio Electronics (UREL)

Entry knowledge

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

Rules for evaluation and completion of the course

Not applicable.

Aims

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

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

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)
CYHELSKÝ, L. Úvod do teorie statistiky. 2. upr. Praha: SNTL, 1981, 347 s. (CS)

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme MPC-EKT Master's, 1. year of study, winter semester, compulsory-optional

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

doc. RNDr. Jitka Poměnková, Ph.D.

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

26 hours, compulsory

Teacher / Lecturer

doc. RNDr. Jitka Poměnková, Ph.D.

Syllabus

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