Course detail
Information Theory and Encoding
FSI-VTI Acad. year: 2022/2023 Winter semester
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
4
Supervisor
Department
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.
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.
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.
The study programmes with the given course
Programme N-AIŘ-P: Applied Computer Science and Control, Master's, compulsory
Programme N-MAI-P: Mathematical Engineering, Master's, elective
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.