Feeding Back the Output or Sharing the State: Which Is Better for the State-Dependent Wiretap Channel?
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-...
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doaj-25e086b19a024a8092e490f3c0992a122020-11-24T23:58:37ZengMDPI AGEntropy1099-43002015-11-0117127900792510.3390/e17127852e17127852Feeding Back the Output or Sharing the State: Which Is Better for the State-Dependent Wiretap Channel?Bin Dai0Zheng Ma1Linman Yu2School of Information Science and Technology, Southwest JiaoTong University, Northbound Section Second Ring Road 111, Chengdu 610031, ChinaSchool of Information Science and Technology, Southwest JiaoTong University, Northbound Section Second Ring Road 111, Chengdu 610031, ChinaSchool of Economics and Management, Chengdu Textile College, Chengdu 611731, ChinaIn 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.http://www.mdpi.com/1099-4300/17/12/7852capacity-equivocation regionchannel state informationnoiseless feedbacksecrecy capacitywiretap channel |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Bin Dai Zheng Ma Linman Yu |
spellingShingle |
Bin Dai Zheng Ma Linman Yu Feeding Back the Output or Sharing the State: Which Is Better for the State-Dependent Wiretap Channel? Entropy capacity-equivocation region channel state information noiseless feedback secrecy capacity wiretap channel |
author_facet |
Bin Dai Zheng Ma Linman Yu |
author_sort |
Bin Dai |
title |
Feeding Back the Output or Sharing the State: Which Is Better for the State-Dependent Wiretap Channel? |
title_short |
Feeding Back the Output or Sharing the State: Which Is Better for the State-Dependent Wiretap Channel? |
title_full |
Feeding Back the Output or Sharing the State: Which Is Better for the State-Dependent Wiretap Channel? |
title_fullStr |
Feeding Back the Output or Sharing the State: Which Is Better for the State-Dependent Wiretap Channel? |
title_full_unstemmed |
Feeding Back the Output or Sharing the State: Which Is Better for the State-Dependent Wiretap Channel? |
title_sort |
feeding back the output or sharing the state: which is better for the state-dependent wiretap channel? |
publisher |
MDPI AG |
series |
Entropy |
issn |
1099-4300 |
publishDate |
2015-11-01 |
description |
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. |
topic |
capacity-equivocation region channel state information noiseless feedback secrecy capacity wiretap channel |
url |
http://www.mdpi.com/1099-4300/17/12/7852 |
work_keys_str_mv |
AT bindai feedingbacktheoutputorsharingthestatewhichisbetterforthestatedependentwiretapchannel AT zhengma feedingbacktheoutputorsharingthestatewhichisbetterforthestatedependentwiretapchannel AT linmanyu feedingbacktheoutputorsharingthestatewhichisbetterforthestatedependentwiretapchannel |
_version_ |
1725450679198154752 |