{
  "id": "2404.13685",
  "version": "v1",
  "published": "2024-04-21T15:03:22.000Z",
  "updated": "2024-04-21T15:03:22.000Z",
  "title": "Second-Order Identification Capacity of AWGN Channels",
  "authors": [
    "Zhicheng Liu",
    "Yuan Li",
    "Huazi Zhang",
    "Jun Wang",
    "Guiying Yan",
    "Zhiming Ma"
  ],
  "comment": "7 pages, 3 figures, 1 table. This paper has been accepted by IEEE ISIT 2024",
  "categories": [
    "cs.IT",
    "math.IT"
  ],
  "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 \\emph{scales double exponentially} in the blocklength.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-21T15:03:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "second-order identification capacity",
      "awgn channels",
      "additive white gaussian noise channel",
      "second-order randomized identification capacity",
      "finer quantization method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}