Course detail
Information Theory and Encoding
FSI-VTI Acad. year: 2024/2025 Summer 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
Entry knowledge
Basic mathematical knowledge is required.
Rules for evaluation and completion of the course
The active participation and mastering the assigned task.
Solving an extra assignment can compensate absence.
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..
The acquired knowledge will be sufficient for the good orientation in given principles of ICT.
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
Programme C-AKR-P: , Lifelong learning
specialization CLS: , elective
Type of course unit
Lecture
26 hours, optionally
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
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.