The paper establishes the second-order randomized identification capacity (RID capacity) of the Additive White Gaussian Noise Channel (AWGNC).
The key contributions are:
A refined version of Hayashi's theorem is proposed to prove the achievability part. This involves using the capacity-achieving output distribution as an auxiliary distribution instead of the actual output distribution induced by the uniform input distribution.
A finer quantization method is developed to prove the converse part. The input alphabet is partitioned into small sectors instead of hypercubes, which provides a more accurate approximation.
The results show that the second-order RID capacity of the AWGNC has the same form as the second-order transmission capacity, with the only difference being that the maximum number of messages in RID scales double exponentially in the blocklength.
Sang ngôn ngữ khác
từ nội dung nguồn
arxiv.org
Thông tin chi tiết chính được chắt lọc từ
by Zhicheng Liu... lúc arxiv.org 04-23-2024
https://arxiv.org/pdf/2404.13685.pdfYêu cầu sâu hơn