论文标题
伯恩斯坦定理的稳定性和矢量高斯通道的软加倍
Stability of Bernstein's Theorem and Soft Doubling for Vector Gaussian Channels
论文作者
论文摘要
伯恩斯坦对高斯分布的表征的稳定性通过利用特征函数扩展到向量。稳定性用于开发一个柔和的加倍参数，该参数建立了具有加性高斯噪声的某些通信渠道的高斯向量的最佳性，包括两个接收器的广播通道。一种新颖的是，该论点不需要实现能力的分布的存在。
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.
