论文标题
在复杂的MIMO窃听通道中适当的高斯信号的最佳性
Optimality of the Proper Gaussian Signal in Complex MIMO Wiretap Channels
论文作者
论文摘要
具有发射器，合法的用户和窃听器的多输入多输出（MIMO）窃听通道（WTC）是研究信息理论保密的经典模型。在本文中，复杂WTC的基本问题是正确的信号是最佳的，尽管以前的工作隐含地假设复杂的信号是正确的，但是否尚未明确证明。因此，提出了决定性的不平等，以证明具有固定协方差矩阵的复杂高斯信号的保密率在降级复合物WTC中的固定速率是最大化的，并且仅当信号适当时，即当伪稳定性矩阵是零矩阵时。此外，基于降解的复合物WTC的结果和保密能力的最低 - 最大重新印象，还揭示了通用复合物WTC中适当信号的最佳性。这项研究的结果补充了当前关于复杂WTC的研究。更具体地说，我们已经证明，在研究复合物WTC的保密能力时，要专注于适当的信号是足够的。
The multiple-input multiple-output (MIMO) wiretap channel (WTC), which has a transmitter, a legitimate user and an eavesdropper, is a classic model for studying information theoretic secrecy. In this paper, the fundamental problem for the complex WTC is whether the proper signal is optimal has yet to be given explicit proof, though previous work implicitly assumed the complex signal was proper. Thus, a determinant inequality is proposed to prove that the secrecy rate of a complex Gaussian signal with a fixed covariance matrix in a degraded complex WTC is maximized if and only if the signal is proper, i.e., the pseudo-covariance matrix is a zero matrix. Moreover, based on the result of the degraded complex WTC and the min-max reformulation of the secrecy capacity, the optimality of the proper signal in the general complex WTC is also revealed. The results of this research complement the current research on complex WTC. To be more specific, we have shown it is sufficient to focus on the proper signal when studying the secrecy capacity of the complex WTC.
