A Coordinate System for Gaussian Networks
A Coordinate System for Gaussian Networks
复制标题
高斯网络的坐标系
DOI：
10.1109/tit.2011.2169536
复制
发表时间：
2010
影响因子：
2.5
通讯作者：
Lizhong Zheng
中科院分区：
文献类型：
--
作者：
E. Abbe;Lizhong Zheng
研究了外部噪声为高斯分布的网络信息论问题。特别地，考虑了具有相干衰落的高斯广播信道和高斯干扰信道。结果表明，在这些问题中，非高斯码集成可以实现更高的速率比高斯的。它还表明，强Shamai-Laroia猜想的高斯ISI信道不成立。为了分析高斯网络上的非高斯码系综，提出了一种基于Hermite多项式的几何分析工具。该工具提供了一个坐标系来分析一类在高斯网络上不变的非高斯输入分布。
This paper investigates network information theory problems where the external noise is Gaussian distributed. In particular, the Gaussian broadcast channel with coherent fading and the Gaussian interference channel are considered. It is shown that in these problems, non-Gaussian code ensembles can achieve higher rates than the Gaussian ones. It is also shown that the strong Shamai-Laroia conjecture on the Gaussian ISI channel does not hold. In order to analyze non-Gaussian code ensembles over Gaussian networks, a geometrical tool using the Hermite polynomials is proposed. This tool provides a coordinate system to analyze a class of non-Gaussian input distributions that are invariant over Gaussian networks.