Secrecy capacity of a class of broadcast channels with an eavesdropper
EURASIP Journal on Wireless Communications and Networking - Special issue on wireless physical layer security
Mutual information and minimum mean-square error in Gaussian channels
IEEE Transactions on Information Theory
An MMSE approach to the secrecy capacity of the MIMO Gaussian wiretap channel
EURASIP Journal on Wireless Communications and Networking - Special issue on wireless physical layer security
Secrecy capacity region of the degraded compound multi-receiver wiretap channel
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
Gaussian MIMO multi-receiver wiretap channel
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Hi-index | 0.00 |
We consider the Gaussian multi-receiver wiretap channel and evaluate its secrecy capacity region. This evaluation requires the identification of underlying auxiliary random variables. For this purpose, we first visit the converse proof of the scalar Gaussian broadcast channel, and show that this proof cannot be extended to this secrecy context. The failure of this extension comes from the insufficiency of the entropy-power inequality to resolve the ambiguity regarding the auxiliary random variables. Instead, we provide two converse proofs. The first one uses the alternative representation of the mutual information as an integration of the minimum-mean-square-error (MMSE) along with the properties of the MMSE. The second one uses the relationship between the differential entropy and the Fisher information via the de Bruin identity along with the properties of the Fisher information.