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arXiv · 2404.13685

Second-Order Identification Capacity of AWGN Channels

Zhicheng Liu·Yuan Li·Huazi Zhang·Jun Wang·Guiying Yan·Zhiming Ma
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Abstract

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.

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Zhicheng Liu, Yuan Li, Huazi Zhang, Jun Wang, Guiying Yan, Zhiming Ma. 2024-04-21. Second-Order Identification Capacity of AWGN Channels. https://arxiv.org/abs/2404.13685

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