Section: Research Program
Coding theory
OPTA limit (Optimum Performance Theoretically Attainable), Rate allocation, Rate-Distortion optimization, lossy coding, joint source-channel coding multiple description coding, channel modelization, oversampled frame expansions, error correcting codes.
Source coding and channel coding theory (T. M. Cover and J. A. Thomas, Elements of Information Theory, Second Edition, July 2006.) is central to our compression and communication activities, in particular to the design of entropy codes and of error correcting codes. Another field in coding theory which has emerged in the context of sensor networks is Distributed Source Coding (DSC). It refers to the compression of correlated signals captured by different sensors which do not communicate between themselves. All the signals captured are compressed independently and transmitted to a central base station which has the capability to decode them jointly. DSC finds its foundation in the seminal Slepian-Wolf (D. Slepian and J. K. Wolf, “Noiseless coding of correlated information
sources.” IEEE Transactions on Information Theory, 19(4), pp. 471-480,
July 1973.) (SW) and Wyner-Ziv (A. Wyner and J. Ziv, “The rate-distortion function for source coding
ith side information at the decoder.” IEEE Transactions on Information Theory, pp. 1-10, January 1976.) (WZ) theorems. Let us consider two binary correlated sources
In 1976, Wyner and Ziv considered the problem of coding of two correlated sources