Course detail

# Information Theory and Encoding

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).

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.

Recommended optional programme components

Not applicable.

Přibyl J.,Kodl J.: Ochrana dat v informatice. (CS)
LUBBE J.C.A.: Information Theory, Cambridge University Press, 1997 (EN)
SCHNEIER, B. Applied Cryptography, John Wiley & Sons, Inc. 1996. (EN)

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.

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

1. Introduction to the information theory
2. Basic concepts of the information theory
3. Exercises to basic concepts
4. The discrete memoryless information source
5. Exercises to the discrete memoryless information source
6. The discrete information source with memory
7. The discrete communication channel
8. Network information theory
9. Error-correcting codes

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.

Classification of course in study plans

• Programme B3S-P Bachelor's

branch B-AIŘ , 3. year of study, winter semester, 5 credits, compulsory

• Programme M2I-P Master's

branch M-AIŘ , 1. year of study, winter semester, 5 credits, compulsory

• Programme M2A-P Master's

branch M-MAI , 2. year of study, winter semester, 4 credits, compulsory-optional

#### Type of course unit

Lecture

26 hours, optionally

Teacher / Lecturer

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 hours, compulsory

Teacher / Lecturer

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.