some new results on the wiretap channel with side information一些新结果在窃听信道边信息.pdf

Entropy 2012, 14, 1671-1702; doi:10.3390/ OPEN ACCESS entropy ISSN 1099-4300 /journal/entropy Article Some New Results on the Wiretap Channel with Side Information Bin Dai and Yuan Luo * Computer Science and Engineering Department, Shanghai Jiao Tong University, Dongchuan road 800, Shanghai 200240, China; E-Mail: daibin007@ (B.D.) Institute for Experimental Mathematics, Duisburg-Essen University, Ellernstrae 29, Essen 45326, Germany The State Key Laboratory of Integrated Services Networks, Xidian University, Xi’an 710000, China * Author to whom correspondence should be addressed; E-Mail: luoyuan@; Tel.: +86 21 3420 5477. Received: 17 July 2012; in revised form: 20 August 2012 / Accepted: 30 August 2012 / Published: 7 September 2012 Abstract: In this paper, the model of wiretap channel has been reconsidered for the case that the main channel is controlled by channel state information (side information), and it is available at the transmitter in a noncausal manner (termed here noncausal side information) or causal manner (termed here causal side information). Inner and outer bounds are derived on the capacity-equivocation regions for the noncausal and causal manners, and the secrecy capacities for both manners are described and bounded, which provide the best transmission rate with perfect secrecy. Moreover, for the case that the side information is available at the transmitter in a memoryless manner (termed here memoryless side information), both the capacity-equivocation region and the secrecy capacity are determined. The