Secrecy Rate Region of the Broadcast Channel with an Eavesdropper

Details Secrecy Rate Region of the Broadcast Channel with an Eavesdropper Secrecy Rate Region of the Broadcast Channel with an Eavesdropper

2009-10-19

arxiv.org/abs/0910.3658v1

Computer Science

Information Theory

18 Pages, Submitted to IEEE Transaction on Information Theory (Revised Version)

Scientific paper

In this paper, we consider a scenario where a source node wishes to broadcast two confidential messages to two receivers, while a wire-tapper also receives the transmitted signal. This model is motivated by wireless communications, where individual secure messages are broadcast over open media and can be received by any illegitimate receiver. The secrecy level is measured by the equivocation rate at the eavesdropper. We first study the general (non-degraded) broadcast channel with an eavesdropper. We present an inner bound on the secrecy capacity region for this model. This inner bound is based on a combination of random binning, and the Gelfand-Pinsker binning. We further study the situation in which the channels are degraded. For the degraded broadcast channel with an eavesdropper, we present the secrecy capacity region. Our achievable coding scheme is based on Covers superposition scheme and random binning. We refer to this scheme as the Secret Superposition Scheme. Our converse proof is based on a combination of the converse proof of the conventional degraded broadcast channel and Csiszar Lemma. We then assume that the channels are Additive White Gaussian Noise (AWGN) and show that the Secret Superposition Scheme with Gaussian codebook is optimal. The converse proof is based on Costas entropy power inequality. Finally, we use a broadcast strategy for the slowly fading wire-tap channel when only the eavesdroppers channel is fixed and known at the transmitter. We derive the optimum power allocation for the coding layers, which maximizes the total average rate.

Affiliated with

Also associated with

No associations

Rating

Secrecy Rate Region of the Broadcast Channel with an Eavesdropper does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Secrecy Rate Region of the Broadcast Channel with an Eavesdropper, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Secrecy Rate Region of the Broadcast Channel with an Eavesdropper will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-716628