학술논문
Stability of Bernstein’s Theorem and Soft Doubling for Vector Gaussian Channels
Document Type
Periodical
Author
Source
IEEE Transactions on Information Theory IEEE Trans. Inform. Theory Information Theory, IEEE Transactions on. 69(10):6231-6250 Oct, 2023
Subject
Language
ISSN
0018-9448
1557-9654
1557-9654
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.