Livret pédagogique numérique 2018/2019
| 3EAH10 | Codes correcteurs d'erreur | Electronique et Physique appliquee | S9 | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Cours : 6 h | TD : 0 h | TP : 6 h | Projet : 0 h | Total : 12 h | |||||
| Responsable : Stephane Flament | |||||||||
| Pré-requis | |
|---|---|
| Linear Algebra, Vector space, Probability | |
| Objectifs de l'enseignement | |
| First objective is to show how the whole coding-decoding process allows reduction of the Bit Error Rate even if the coding process itself leads to a significant increase of the Bit Error Rate. Second objective is to show how it is possible to design an error correcting code for specific applications |
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| Programme détaillé | |
| Introduction : Compression, cryptography, error correctiion coding Proof of Bit Error Rate improvement provided by intoduction of error - correcting codes. Different kinds of errors : case of uniform bit error property and case of burst errors Matricial and polynomial representation of Block error correcting codes Polynomial Cyclic codes |
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| Applications (TD ou TP) | |
| Exemple of implementation of perfect codes like Hamming and Golay codes and burst error error correcting codes like Fire codes. |
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| Compétences acquises | |
| Selection and implementation of block error - correcting code Understanding of polynomial cyclic codes selection |
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| Bibliographie | |
| 1. Codes correcteurs, J. Badrikian, Ed. Ellipses (2002) 2. Théorie des codes, J.-G. Dumas, J-L. Roch, E. Tannier, S. Varrette, 2nd Edition, Ed. Dunod (2013) 3. Fundamentals in Information Theory and coding, M. Borda, Ed. Springer 2011 |
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