论文标题
在静态标量高斯广播频道的二阶费率区域
On Second Order Rate Regions for the Static Scalar Gaussian Broadcast Channel
论文作者
论文摘要
本文考虑了有限的区块长度制度中的单个天线，静态高斯广播通道。提出了二阶可实现和相反的速率区域。考虑了全球可靠性要求和每个用户的可靠性要求。对两用户案例进行了详细分析，还讨论了对$ k $ - 用户案例的概括。此处介绍的最大的二阶可实现区域需要在代码构建中叠加和速率拆分，而不是（无限的区块长度，一阶）容量区域，该区域不需要速率分配。实际上，有限的区块罚款仅会导致叠加在该地区某些地区的绩效其他编码技术不足。在具有每个用户可靠性要求的两种用户案例中，实现近调编码顺序的容量（使用最小的SNR作为云中心的用户的代码字）并不一定会提供最大的二阶订单区域。取而代之的是，应在云中心中编码具有最小点对点二阶容量的用户的消息，以便获得所提出的方案的最大二阶区域。
This paper considers the single antenna, static Gaussian broadcast channel in the finite blocklength regime. Second order achievable and converse rate regions are presented. Both a global reliability requirement and per-user reliability requirements are considered. The two-user case is analyzed in detail, and generalizations to the $K$-user case are also discussed. The largest second order achievable region presented here requires both superposition and rate splitting in the code construction, as opposed to the (infinite blocklength, first order) capacity region which does not require rate splitting. Indeed, the finite blocklength penalty causes superposition alone to under-perform other coding techniques in some parts of the region. In the two-user case with per-user reliability requirements, the capacity achieving superposition coding order (with the codeword of the user with the smallest SNR as cloud center) does not necessarily gives the largest second order region. Instead, the message of the user with the smallest point-to-point second order capacity should be encoded in the cloud center in order to obtain the largest second order region for the proposed scheme.
