Xie Guangfen, Dai Bin
School of Information Science and Technology, Southwest Jiaotong University, Chengdu 611756, China.
Peng Cheng Laboratory, Shenzhen 518055, China.
Entropy (Basel). 2021 Jul 21;23(8):929. doi: 10.3390/e23080929.
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.
发射端可获取非因果状态干扰的高斯窃听信道，也称为脏纸窃听信道（DP-WTC），已在文献中得到广泛研究。最近，研究表明对DP-WTC的受损状态干扰采取行动（也称为与动作相关的DP-WTC）有助于提高DP-WTC的保密容量。随后，研究表明信道反馈进一步提高了与动作相关的DP-WTC（AD-DP-WTC）的保密容量，并针对此反馈模型提出了一种次优反馈方案。本文提出了一种两步混合方案以及无噪声反馈的AD-DP-WTC保密容量的相应新下界。所提出的新下界在某些情况下被证明是最优的（达到保密容量）且比文献中现有的下界更紧，并且通过数值示例进一步解释了本文的结果。
