Second-Order Identification Capacity of AWGN Channels
Fuente:
arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909232177086464 |
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| author | Liu, Zhicheng Li, Yuan Zhang, Huazi Wang, Jun Yan, Guiying Ma, Zhiming |
| author_facet | Liu, Zhicheng Li, Yuan Zhang, Huazi Wang, Jun Yan, Guiying Ma, Zhiming |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13685 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Second-Order Identification Capacity of AWGN Channels Liu, Zhicheng Li, Yuan Zhang, Huazi Wang, Jun Yan, Guiying Ma, Zhiming Information Theory 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. |
| title | Second-Order Identification Capacity of AWGN Channels |
| topic | Information Theory |
| url | https://arxiv.org/abs/2404.13685 |