This paper considers the secrecy performance of several schemes for multi-antenna transmission to single-antenna users with full-duplex (FD) capability against randomly distributed single-antenna eavesdroppers (EDs). These schemes and related scenarios include transmit antenna selection (TAS), transmit antenna beamforming (TAB), artificial noise (AN) from the transmitter, user selection based their distances to the transmitter, and colluding and non-colluding EDs. The locations of randomly distributed EDs and users are assumed to be distributed as Poisson Point Process (PPP). We derive closed form expressions for the secrecy outage probabilities (SOP) of all these schemes and scenarios. The derived expressions are useful to reveal the impacts of various environmental parameters and user's choices on the SOP, and hence useful for network design purposes. Examples of such numerical results are discussed.

中文翻译：

---

存在随机定位窃听者时全双工用户多天线传输的保密性


本文考虑了几种向单天线用户进行多天线传输的方案的保密性能，这些方案具有全双工（FD）能力，对抗随机分布的单天线窃听者（ED）。这些方案和相关场景包括发射天线选择 (TAS)、发射天线波束成形 (TAB)、来自发射机的人工噪声 (AN)、基于距发射机距离的用户选择以及共谋和非共谋 ED。假设随机分布的 ED 和用户的位置按照泊松点过程 (PPP) 分布。我们推导出所有这些方案和场景的保密中断概率（SOP）的封闭式表达式。导出的表达式有助于揭示各种环境参数和用户选择对 SOP 的影响，因此可用于网络设计目的。讨论了此类数值结果的示例。