论文标题
``凸面方案的扩展
Extensions on `A Convex Scheme for the Secrecy Capacity of a MIMO Wiretap Channel with a Single Antenna Eavesdropper'
论文作者
论文摘要
物理层安全性的一个关键指标是保密能力。这是系统可以完美保密传输的最大速率。对于多个输入多重输出（MIMO）系统（用于5G，6G及以后的较新技术），秘密容量尚不完全了解。对于高斯MIMO通道，保密能力是一个非凸优化问题，无法为其提供一般解决方案。 作者先前的工作表明，具有单个窃听天线的MIMO系统的保密能力是凹点。在扩展了先前论文的这项工作中，为超出该削减点的区域提供了结果。结果表明，对于某些参数，提出的方案是凹入点的，并凸出了它，因此可以使用现有的凸优化软件有效地解决。
One key metric for physical layer security is the secrecy capacity. This is the maximum rate that a system can transmit with perfect secrecy. For a Multiple Input Multiple Output (MIMO) system (a newer technology for 5G, 6G and beyond) the secrecy capacity is not fully understood. For a Gaussian MIMO channel, the secrecy capacity is a non-convex optimisation problem for which a general solution is not available. Previous work by the authors showed that the secrecy capacity of a MIMO system with a single eavesdrop antenna is concave to a cut off point. In this work, which extends the previous paper, results are given for the region beyond this cut off point. It is shown that, for certain parameters, the presented scheme is concave to a point, and convex beyond it, and can therefore be solved efficiently using existing convex optimisation software.
