论文标题
高斯多访问窃听通道的自我安全能力实现反馈方案，带有降级消息集
Self-Secure Capacity-Achieving Feedback Schemes of Gaussian Multiple-Access Wiretap Channels with Degraded Message Sets
论文作者
论文摘要
Schalkwijk-kailath（SK）方案可以通过反馈来实现点对点白色高斯频道的能力，它本身是安全的，并且还实现了高斯窃听频道的保密能力，并具有反馈，即SK方案是一种自sececure能力实力核能（SSCA）反馈方案（ssca）速度方案。对于最近的多用户窃听通道，已经表明，两用户高斯多访问通道（GMAC）的Ozarow能力实现反馈方案是两种用户高斯高斯多种多重访问通道的SSCA反馈方案。在本文中，首先，我们为带有降级消息集（GMAC-DMS）的两用户GMAC提出了能力实现的反馈方案，并表明该方案是带有降级消息集（GMAC-WT-DMS）的两用户GMAC-WT的SSCA反馈方案（GMAC-WT-DMS）。接下来，我们将上述方案扩展到带有非因果通道状态信息（NCSIT）的两用户GMAC-DMS（NCSIT），并表明扩展方案是能力实现的，也是带有NCSIT的两用户GMAC-WT-DMS的SSCA反馈方案。最后，我们在带有或不使用NCSIT的两用户GMAC-WT-DMS的保密能力区域上得出外部边界，数值结果显示了反馈的速率增长。
The Schalkwijk-Kailath (SK) scheme, which achieves the capacity of the point-to-point white Gaussian channel with feedback, is secure by itself and also achieves the secrecy capacity of the Gaussian wiretap channel with feedback, i.e., the SK scheme is a self-secure capacity-achieving (SSCA) feedback scheme for the Gaussian wiretap channel. For the multi-user wiretap channels, recently, it has been shown that Ozarow's capacity-achieving feedback scheme for the two-user Gaussian multiple-access channel (GMAC) is the SSCA feedback scheme for the two-user Gaussian multiple-access wiretap channel (GMAC-WT). In this paper, first, we propose a capacity-achieving feedback scheme for the two-user GMAC with degraded message sets (GMAC-DMS), and show that this scheme is the SSCA feedback scheme for the two-user GMAC-WT with degraded message sets (GMAC-WT-DMS). Next, we extend the above scheme to the two-user GMAC-DMS with noncausal channel state information at the transmitters (NCSIT), and show that the extended scheme is capacity-achieving and also a SSCA feedback scheme for the two-user GMAC-WT-DMS with NCSIT. Finally, we derive outer bounds on the secrecy capacity regions of the two-user GMAC-WT-DMS with or without NCSIT, and numerical results show the rate gains by the feedback.
