Second-Order Identification Capacity of AWGN Channels
<|reference_start|>Second-Order Identification Capacity of AWGN Channels: 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.<|reference_end|>
@article{liu2024second-order,
    title={Second-Order Identification Capacity of AWGN Channels},
    author={Zhicheng Liu, Yuan Li, Huazi Zhang, Jun Wang, Guiying Yan, Zhiming Ma},
    journal={arXiv preprint arXiv:2404.13685},
    year={2024},
    archivePrefix={arXiv},
    eprint={2404.13685},
    primaryClass={cs.IT math.IT}
}