New Result on the Feedback Capacity of the Action-Dependent Dirty Paper Wiretap Channel
The Gaussian wiretap channel with noncausal state interference available at the transmitter, which is also called the dirty paper wiretap channel (DP-WTC), has been extensively studied in the literature. Recently, it has been shown that taking actions on the corrupted state interference of the DP-WT...
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| Format: | Article |
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MDPI AG
2021-07-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/23/8/929 |
| _version_ | 1797523991342088192 |
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| author | Guangfen Xie Bin Dai |
| author_facet | Guangfen Xie Bin Dai |
| author_sort | Guangfen Xie |
| collection | DOAJ |
| description | The Gaussian wiretap channel with noncausal state interference available at the transmitter, which is also called the dirty paper wiretap channel (DP-WTC), has been extensively studied in the literature. Recently, it has been shown that taking actions on the corrupted state interference of the DP-WTC (also called the action-dependent DP-WTC) helps to increase the secrecy capacity of the DP-WTC. Subsequently, it has been shown that channel feedback further increases the secrecy capacity of the action-dependent DP-WTC (AD-DP-WTC), and a sub-optimal feedback scheme is proposed for this feedback model. In this paper, a two-step hybrid scheme and a corresponding new lower bound on the secrecy capacity of the AD-DP-WTC with noiseless feedback are proposed. The proposed new lower bound is shown to be optimal (achieving the secrecy capacity) and tighter than the existing one in the literature for some cases, and the results of this paper are further explained via numerical examples. |
| first_indexed | 2024-03-10T08:51:01Z |
| format | Article |
| id | doaj.art-c0167ef804fa424c913f9cafd3a8bf32 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T08:51:01Z |
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| spelling | doaj.art-c0167ef804fa424c913f9cafd3a8bf322023-11-22T07:33:49ZengMDPI AGEntropy1099-43002021-07-0123892910.3390/e23080929New Result on the Feedback Capacity of the Action-Dependent Dirty Paper Wiretap ChannelGuangfen Xie0Bin Dai1School of Information Science and Technology, Southwest Jiaotong University, Chengdu 611756, ChinaSchool of Information Science and Technology, Southwest Jiaotong University, Chengdu 611756, ChinaThe Gaussian wiretap channel with noncausal state interference available at the transmitter, which is also called the dirty paper wiretap channel (DP-WTC), has been extensively studied in the literature. Recently, it has been shown that taking actions on the corrupted state interference of the DP-WTC (also called the action-dependent DP-WTC) helps to increase the secrecy capacity of the DP-WTC. Subsequently, it has been shown that channel feedback further increases the secrecy capacity of the action-dependent DP-WTC (AD-DP-WTC), and a sub-optimal feedback scheme is proposed for this feedback model. In this paper, a two-step hybrid scheme and a corresponding new lower bound on the secrecy capacity of the AD-DP-WTC with noiseless feedback are proposed. The proposed new lower bound is shown to be optimal (achieving the secrecy capacity) and tighter than the existing one in the literature for some cases, and the results of this paper are further explained via numerical examples.https://www.mdpi.com/1099-4300/23/8/929action encoderchannel feedbackdirty paper channelintelligent reflecting surfaceswiretap channel |
| spellingShingle | Guangfen Xie Bin Dai New Result on the Feedback Capacity of the Action-Dependent Dirty Paper Wiretap Channel Entropy action encoder channel feedback dirty paper channel intelligent reflecting surfaces wiretap channel |
| title | New Result on the Feedback Capacity of the Action-Dependent Dirty Paper Wiretap Channel |
| title_full | New Result on the Feedback Capacity of the Action-Dependent Dirty Paper Wiretap Channel |
| title_fullStr | New Result on the Feedback Capacity of the Action-Dependent Dirty Paper Wiretap Channel |
| title_full_unstemmed | New Result on the Feedback Capacity of the Action-Dependent Dirty Paper Wiretap Channel |
| title_short | New Result on the Feedback Capacity of the Action-Dependent Dirty Paper Wiretap Channel |
| title_sort | new result on the feedback capacity of the action dependent dirty paper wiretap channel |
| topic | action encoder channel feedback dirty paper channel intelligent reflecting surfaces wiretap channel |
| url | https://www.mdpi.com/1099-4300/23/8/929 |
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