AWGN 信道的二阶识别容量
信息论
2024-06-28 v5 math.IT
摘要
本文建立了加性白高斯噪声信道 (AWGNC) 的二阶随机识别容量 (RID 容量)。一方面，我们获得了 Hayashi 定理的改进版本，以证明可达性。另一方面，我们研究了识别与信道可辨性之间的关系，然后提出了更细致的量化方法以证明逆向结果。因此，AWGNC 的二阶 RID 容量形式与二阶传输容量相同。唯一的区别是 RID 中最大消息数按块长指数双倍增长。
关键词
引用
@article{arxiv.2404.13685,
title = {Second-Order Identification Capacity of AWGN Channels},
author = {Zhicheng Liu and Yuan Li and Huazi Zhang and Jun Wang and Guiying Yan and Zhiming Ma},
journal= {arXiv preprint arXiv:2404.13685},
year = {2024}
}
备注
7 pages, 3 figures, 1 table. This paper has been accepted by IEEE ISIT 2024. In response to the reviewer's feedback, we have incorporated additional references and refined the content in the introduction section and we replace some figures as the pdf form