1. New Result on the Feedback Capacity of the Action-Dependent Dirty Paper Wiretap Channel
- Author
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Guangfen Xie and Bin Dai
- Subjects
Computer science ,Science ,QC1-999 ,Gaussian ,0211 other engineering and technologies ,General Physics and Astronomy ,02 engineering and technology ,Astrophysics ,Interference (wave propagation) ,Upper and lower bounds ,Article ,symbols.namesake ,action encoder ,wiretap channel ,Control theory ,Secrecy ,0202 electrical engineering, electronic engineering, information engineering ,021110 strategic, defence & security studies ,Physics ,Transmitter ,020206 networking & telecommunications ,channel feedback ,Action (physics) ,QB460-466 ,symbols ,intelligent reflecting surfaces ,State (computer science) ,dirty paper channel ,Communication channel - Abstract
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.
- Published
- 2021
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