On the capacity of the wiretap channel with generalized feedback

German Bassi (1) , Pablo Piantanida (1) , Shlomo Shamai (2)

1 L2S - Laboratoire des signaux et systèmes
2 EE-Technion - Department of Electrical Engineering - Technion [Haïfa]

It is well-known that feedback does not increase the capacity of point-to-point memoryless channels, however, its effect in secure communications is not fully understood yet. In this work, an achievable scheme for the wiretap channel with generalized feedback -based on joint source-channel coding- is presented. This scheme recovers previous results, thus it can be seen as a generalization and unification of several results in the field. Additionally, the Gaussian wiretap channel with noisy feedback is analyzed, and the scheme achieves positive secrecy rates even in unfavorable situations where the eavesdropper experiences a much better channel than the legitimate user.

Domaines: Théorie de l'information [cs.IT]; Réseaux et télécommunications [cs.NI]; Théorie de l'information et codage [math.IT]; Statistiques [math.ST]

German Bassi, Pablo Piantanida, Shlomo Shamai. On the capacity of the wiretap channel with generalized feedback. IEEE International Symposium on Information Theory - (ISIT 2015), Jun 2015, Hong Kong, Hong Kong SAR China. ⟨10.1109/ISIT.2015.7282636⟩. ⟨hal-01257619⟩