On the achievable rate region of a new Gaussian wiretap channel with side information

Abstract

A new applicable wiretap channel with separated side information is considered here which consist of a sender, a legitimate receiver and a wiretapper. In the considered scenario, the links from the transmitter to the legitimate receiver and the eavesdropper experience different conditions or channel states. So, the legitimate receiver and the wiretapper listen to the transmitted signal through the channels with different channel states which may have some correlation to each other. It is assumed that the transmitter knows the state of the main channel non-causally and uses this knowledge to encode its message. The state of the wiretap channel is not known anywhere. An achievable equivocation rate region is derived for this model and is compared to the existing works. In some special cases, the results are extended to the Gaussian wiretap channel. Index TermsEquivocation rate, secrecy capacity, side information, wiretap channel, perfect secrecy.

The Wiretap Channel With Generalized Feedback: Secure Communication and Key Generation

“…An extension to this model, with both the encoder and legitimate decoder having access to correlated side-information, is investigated in [32]. More recently, the authors of [33] analyze a slightly different scenario where the state affecting the legitimate decoder's channel is not equal to the one affecting the eavesdropper's channel. These channel states are correlated and the encoder only knows the state of the legitimate decoder's channel.…”

“…Proof: For a probability distribution in (21) and given the less noisy condition on Eve's channel, the upper bound from Theorem 3 reduces to (34) which is equal to the lower bound (33) with U = X c .…”