Course detail

Information Theory and Encoding

FSI-VTIAcad. year: 2018/2019

The course is aimed to basics in information theory (message, entropy, transfer of information, discrete and continuous channels) and signals (signal processing, modulation). Further the course includes basic overview of coding methods in areas: bar codes, compression codes, error correcting codes and cryptography. At the end of the course the modern trends in coding are presented (quantum error correction, quantum cryptography).

Language of instruction

Czech

Number of ECTS credits

Mode of study

Not applicable.

Guarantor

prof. Ing. Radomil Matoušek, Ph.D.

Department

Institute of Automation and Computer Science (ÚAI)

Learning outcomes of the course unit

The acquired knowledge will be sufficient for the good orientation in given principles of ICT.

Prerequisites

Basic mathematical knowledge is required.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.

Assesment methods and criteria linked to learning outcomes

The active participation and mastering the assigned task.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The course objective is to make students familiar with the basics of the Theory of information and Coding theory. A key measure in information theory is "entropy". Applications of fundamental topics of information theory include lossless data compression and channel coding. Codes are used for data compression, cryptography, error-correction and more recently also for network coding..

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

Solving an extra assignment can compensate absence.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

LUBBE J.C.A.: Information Theory, Cambridge University Press, 1997 (EN)
SCHNEIER, B. Applied Cryptography, John Wiley & Sons, Inc. 1996. (EN)

Recommended reading

Přibyl J.,Kodl J.: Ochrana dat v informatice. (CS)

Classification of course in study plans

  • Programme B3S-P Bachelor's

    branch B-AIŘ , 3 year of study, winter semester, compulsory

  • Programme M2A-P Master's

    branch M-MAI , 2 year of study, winter semester, compulsory-optional

  • Programme M2I-P Master's

    branch M-AIŘ , 1 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

prof. Ing. Pavel Ošmera, CSc.
prof. Ing. Radomil Matoušek, Ph.D.

Syllabus

1. Introduction to the information theory 1/2 (information, entropy, mutual information).
2. Introduction to the information theory 2/2 (channel capacity, noisy-channel coding theorem).
3. Basic principle of communication (model of discrete channel).
4. Introduction to encoding theory.
5. Bar Code. RFID technology.
6. Data compression I.
7. Data compression II.
8. Error detection and correction I.
9. Error detection and correction II.
10. Cryptogaphy I.
11. Cryptogaphy II.
12. Cryptogaphy III.
13. Advanced in encoding and cryptography theory (quantum cryptography).

Computer-assisted exercise

26 hod., compulsory

Teacher / Lecturer

prof. Ing. Radomil Matoušek, Ph.D.

Syllabus

Computer labs (exercises) are consistent with the content of lectures. The aim of the labs is to introduce students to practical part of the course above all using Matlab/Simulink system.
The labs are divided into six parts:
a) Bit rate, channel capacity, information ratio.
b) Signals, modulation methods.
c) Bar code.
d) Data compression.
e) Error detection and correction.
f) Cryptography.