Capacity-Equivocation Regions of the DMBCs with Noiseless Feedback. (22nd August 2013)

• Record Type: Journal Article
• Authors: Yin, Xinxing; Xue, Zhi; Dai, Bin
• Other Names: Zhang Weihai Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-08-22
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/102069
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The discrete memoryless broadcast channels (DMBCs) with noiseless feedback are studied. The entire capacity-equivocation regions of two models of the DMBCs with noiseless feedback are obtained. One is the degraded DMBCs with rate-limited feedback; the other is the less and reversely less noisy DMBCs with causal feedback. In both models, two kinds of messages are transmitted. The common message is to be decoded by both the legitimate receiver and the eavesdropper, while the confidential message is only for the legitimate receiver. Our results generalize the secrecy capacity of the degraded wiretap channel with rate-limited feedback (Ardestanizadeh et al., 2009) and the restricted wiretap channel with noiseless feedback (Dai et al., 2012). Furthermore, we use a simpler and more intuitive deduction to get the single-letter characterization of the capacity-equivocation region, instead of relying on the recursive argument which is complex and not intuitive.