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.

中文翻译：

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依赖动作的脏纸窃听通道反馈能力的新结果

在发射机处可用的具有非因果状态干扰的高斯窃听通道，也称为脏纸窃听通道 (DP-WTC)，已在文献中进行了广泛的研究。最近，已经表明对 DP-WTC（也称为动作依赖型 DP-WTC）的损坏状态干扰采取行动有助于提高 DP-WTC 的保密能力。随后，已经表明信道反馈进一步增加了动作相关的 DP-WTC (AD-DP-WTC) 的保密能力，并且针对该反馈模型提出了次优反馈方案。在本文中，提出了一种两步混合方案和相应的无噪声反馈 AD-DP-WTC 保密容量的新下界。