In this paper, we establish the second-order randomized identification capacity (RID capacity) of the Additive White Gaussian Noise Channel (AWGNC). On the one hand, we obtain a refined version of Hayashi's theorem to prove the achievability part. On the other, we investigate the relationship between identification and channel resolvability, then we propose a finer quantization method to prove the converse part. Consequently, the second-order RID capacity of the AWGNC has the same form as the second-order transmission capacity. The only difference is that the maximum number of messages in RID scales double exponentially in the blocklength.

翻译：本文建立了加性高斯白噪声信道（AWGNC）的二阶随机辨识容量（RID容量）。一方面，我们通过精炼林（Hayashi）定理来证明可达性部分；另一方面，我们研究了辨识与信道可分辨性之间的关系，并提出了一种更精细的量化方法来证明逆定理部分。由此，AWGNC的二阶RID容量具有与二阶传输容量相同的形式，唯一区别在于RID中的最大消息数量随码块长度呈双指数增长。