Information theory and coding

LINGI2348  2018-2019  Louvain-la-Neuve

Information theory and coding
5.0 credits
30.0 h + 15.0 h
2q

Teacher(s)
Language
Anglais
Main themes
  • Information representation: decorrelation coding and entropic coding.
  • Information security: cryptographic coding.
  • Information correction: channel coding theory and error-correcting codes.
Aims

Given the learning outcomes of the "Master in Computer Science and Engineering" program, this course contributes to the development, acquisition and evaluation of the following learning outcomes:

  • INFO1.1-3
  • INFO2.2
  • INFO5.2
  • INFO6.4

Given the learning outcomes of the "Master [120] in Computer Science" program, this course contributes to the development, acquisition and evaluation of the following learning outcomes:

  • SINF1.M1
  • SINF2.2
  • SINF5.2
  • SINF6.4

Students completing this course successfully will be able to

  • explain the notions, methods and results that are used in the analysis and design of information representation, protection and correction systems.
  • present not only general results that determine the possibilities offered by information theory, but also effective compression, security and correction methods.
  • provide some design tools for multimedia (image, sound, data) information coding.

The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.

Content
  • Basic notions in information theory; mutual information and entropy.
  • Discrete source coding by fixed length-codes and variable-length codes.
  • Decorrelation coding and coding gain notions.
  • Basic notions in cryptology; secret-key and public-key cryptographic coding systems.
  • Discrete memoryless channel; capacity notion; noisy channel coding theorem.
  • General block coding theory; role of the minimum distance.  
  • Linear codes: generator matrix and parity-check matrix; syndrome decoding.
  • Study of certain classes of linear block codes: cyclic codes and Reed-Solomon codes.
  • Introduction to convolution codes.
Teaching methods

The course consists of magistral courses as well as exercice sessions to explore the different aspects of the theory.

Evaluation methods

Written examination covering both theory and exercises.

Other information

Background:

  • LFSAB1402 : solid basic knowledge in computer science
  • LFSAB1103 : solid basic knowledge in mathematics
Online resources

Moodle

https://moodleucl.uclouvain.be/course/view.php?id=5483

Bibliography
  • R.G. Gallager, "Information Theory and Reliable Communication" , John Wiley, 1968.
  • F.J. MacWilliams and N.J.A. Sloane, "The Theory of Error-Correcting Codes" , North-Holland, 1977.
Faculty or entity


Programmes / formations proposant cette unité d'enseignement (UE)

Program title
Sigle
Credits
Prerequisites
Aims
Master [120] in Electrical Engineering
5
-

Master [120] in Mathematical Engineering
5
-

Master [120] in Computer Science and Engineering
5
-

Master [120] in Computer Science
5
-

Master [120] in Data Science Engineering
5
-

Master [120] in data Science: Information technology
5
-