Course detail

Statistics in Telecommunications

FEKT-GSTKAcad. year: 2019/2020

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 with master's degree program Electronics and Communication Engineering 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: (1) quantifying the probability of the event, (2) distinguishing between the random variables and describe their characteristics, (3) to test the hypothesis by parametric and non-parametric way, (4) describe the probability density by Gaussian mixture models, (5) estimating the shape of the spectrum and identify the spectral components, (6) identify and test the presence of a signal in noise.

Prerequisites

A student who register the course should be able to: - To compose a simple program in Matlab - Practicing a mathematical calculation procedures

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

GOPI, E.S. Algorithm Collections for Digital Signal Processing Applications Using Matlab, Springer, 2007. (EN)
KAY, S. Intuitive Probability and Random Processing using MATLAB, Springer 2005. (EN)
KOBAYASHI, H. et al. Probability, random processes, and statistical analysis, Cambridge University Press, 2012. (EN)

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations. Techning methods include lectures, computer laboratories.

Assesment methods and criteria linked to learning outcomes

Requirements for completion of a course are specified by a regulation issued by the lecturer responsible for the course and updated for every. Test written during semester (30 points), final oral+ writting test exam (70 points).

Language of instruction

English

Work placements

Not applicable.

Course curriculum

Lectures:
1. Calculations on the discrete and the continuous distribution of random variables. Simulation in Matlab.
2. The simulation of the distribution of the data set and its estimation in Matlab.
3. Calculation of confidence intervals, the derivation of system reliability.
4. Testing the significance of the estimates, the parametric and the nonparametric approach.
5. Examples of Gaussian mixed models.
6. Calculation and testing for the presence of signal in the channel, goodness of fit tests.
7. Spectrum estimation techniques (parametric and nonparametric methods).
8. Gaussian mixed models.
9. Random processes.
10. Spectrum estimation techniques (parametric and nonparametric methods).
11. Detection of hidden signals in noises. ROC curve.
12. Applications - time-frequency analysis.
13. 10. Orthogonal transformation, Karhunen-Loev transformation, PCA.

Computer exercises:
1. Calculations on the discrete and the continuous distribution of random variables. Simulation in Matlab.
2. The simulation of the distribution of the data set and its estimation in Matlab.
3. Calculation of confidence intervals, the derivation of system reliability.
4. Testing the significance of the estimates, the parametric and the nonparametric approach.
5. Examples of Gaussian mixed models.
6. Calculation and testing for the presence of signal in the channel, goodness of fit tests.
7. Application of estimation methods on simulated signal spectrum.

Aims

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 with master's degree program Electronics and Communication Engineering specialized mathematical apparatus, which is essential to understanding the principles of modern wireless communications.

Specification of controlled education, way of implementation and compensation for absences

Evaluation of activities is specified by a regulation, which is issued by the lecturer responsible for the course annually.

Classification of course in study plans

  • Programme TECO-G Master's

    branch G-TEC , 1. year of study, winter semester, 4 credits, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

Exercise in computer lab

13 hours, compulsory

Teacher / Lecturer

eLearning