Course detail

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.

Learning outcomes of the course unit

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.

Prerequisites

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

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

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)

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

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

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.

Classification of course in study plans

• Programme MPC-EKT Master's, 1. year of study, winter semester, 5 credits, compulsory-optional

#### Type of course unit

Lecture

26 hours, optionally

Teacher / Lecturer

Exercise in computer lab

26 hours, compulsory

Teacher / Lecturer