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Entropy 2015, 17(12), 7900-7925; doi:10.3390/e17127852

Feeding Back the Output or Sharing the State: Which Is Better for the State-Dependent Wiretap Channel?

1,2,* , 1
and
3
1
School of Information Science and Technology, Southwest JiaoTong University, Northbound Section Second Ring Road 111, Chengdu 610031, China
2
The National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China
3
School of Economics and Management, Chengdu Textile College, Chengdu 611731, China
*
Author to whom correspondence should be addressed.
Academic Editor: Raúl Alcaraz Martínez
Received: 29 July 2015 / Revised: 2 October 2015 / Accepted: 23 November 2015 / Published: 30 November 2015
(This article belongs to the Section Information Theory)
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Abstract

In this paper, the general wiretap channel with channel state information (CSI) at the transmitter and noiseless feedback is investigated, where the feedback is from the legitimate receiver to the transmitter, and the CSI is available at the transmitter in a causal or noncausal manner. The capacity-equivocation regions are determined for this model in both causal and noncausal cases, and the results are further explained via Gaussian and binary examples. For the Gaussian model, we find that in some particular cases, the noiseless feedback performs better than Chia and El Gamal’s CSI sharing scheme, i.e., the secrecy capacity of this feedback scheme is larger than that of the CSI sharing scheme. For the degraded binary model, we find that the noiseless feedback performs no better than Chia and El Gamal’s CSI sharing scheme. However, if the cross-over probability of the wiretap channel is large enough, we show that the two schemes perform the same. View Full-Text
Keywords: capacity-equivocation region; channel state information; noiseless feedback; secrecy capacity; wiretap channel capacity-equivocation region; channel state information; noiseless feedback; secrecy capacity; wiretap channel
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Dai, B.; Ma, Z.; Yu, L. Feeding Back the Output or Sharing the State: Which Is Better for the State-Dependent Wiretap Channel? Entropy 2015, 17, 7900-7925.

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