Computer Science > Information Theory
[Submitted on 8 Dec 2022
(v1)
, last revised 14 Aug 2023 (this version, v2)]
Title: Stability of Bernstein's Theorem and Soft Doubling for Vector Gaussian Channels
Title: 伯恩斯坦定理的稳定性及向量高斯信道的软加倍
Abstract: The stability of Bernstein's characterization of Gaussian distributions is extended to vectors by utilizing characteristic functions. Stability is used to develop a soft doubling argument that establishes the optimality of Gaussian vectors for certain communications channels with additive Gaussian noise, including two-receiver broadcast channels. One novelty is that the argument does not require the existence of distributions that achieve capacity.
Submission history
From: Mohammad Mahdi Mahvari [view email][v1] Thu, 8 Dec 2022 18:55:18 UTC (37 KB)
[v2] Mon, 14 Aug 2023 07:43:57 UTC (514 KB)
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