| contributor |
Charbit, Maurice
|
| Rioul, Olivier
|
| creator |
Rodriguez, Georges
|
| date |
2005-11-02
|
| |
| description |
The course is divided in two parts.
The theory of digital communications constitute the first one. Digital modulations are defined from a finite set of signals. Their spectral properties are calculated following a review of continuous-time random processes. Signal design methods such as the Nyquist criterion and adaptive filtering are then presented using detection theory. The fundamental features of a digital transmission, spectral efficiency and error probability are analyzed for binary and M-ary baseband transmissions.
In the second part, fundamental aspects of information theory are introduced. The notions of entropy, mutual information and the data processing theorem will be presented. The fundamental limits associated to the notion of channel capacity are outlined and applied to digital communication system. The Shannon?s channel theorem is analyzed and as a consequences we introduce the theory of error-correcting codes. We will focus on results of asymptotic and algorithmic significance like the construction and existence results for error-correcting codes, the limitations on the performance of error-correcting codes and the complexity of the decoding algorithms. The whole is completed with several application examples.
|
| We live in the telecommunications era. In most modern communication systems, information is sent in digital form in accordance with Shannon's theory. This course is an introduction to digital communication techniques, information theory and error correcting codes.
|
| Level: Licence 3ème année
|
| Level: Ingénieur 1ère année
|
| Course: Ingénieur
|
| Duration of the course: 35h00
|
| format |
text/html
|
| identifier |
ENST_COM105
|
| language |
en
|
| publisher |
Institut Télécom
|
| rights |
http://formation.enst.fr/licences/prive.html |