Secure Transmission of a Gaussian Source over Gaussian Channels with Side Information

Joffrey Villard (1) , Pablo Piantanida (1) , S. Shamai (2)

1 E3S - Supélec Sciences des Systèmes
2 Department of Computer Science [Haifa]

This paper investigates the problem of source-channel coding for secure transmission of a Gaussian source over a Gaussian wiretap channel in presence of arbitrarily correlated side informations at both receivers. By means of an appropriate coding scheme (either hybrid digital/analog or pure digital), the optimal rate-distortion-equivocation region is characterized for most of the scenarios. These results provide the best achievable tradeoff between the requirement on the distortion level at the legitimate receiver and the equivocation rate at the eavesdropper.

Domaines: Théorie de l'information et codage [math.IT]; Théorie de l'information [cs.IT]

Joffrey Villard, Pablo Piantanida, S. Shamai. Secure Transmission of a Gaussian Source over Gaussian Channels with Side Information. 2012 IEEE International Symposium on Information Theory Proceedings , Jul 2012, Cambridge, MA, United States. pp.1177 - 1181, ⟨10.1109/ISIT.2012.6283040⟩. ⟨hal-00749313⟩