A simple proof of the entropy-power inequality

被引:90
作者
Verdú, S [1 ]
Guo, DN
机构
[1] Princeton Univ, Dept Elect Engn, Princeton, NJ 08544 USA
[2] Northwestern Univ, Dept Elect Engn & Comp Sci, Evanston, IL 60208 USA
基金
美国国家科学基金会;
关键词
differential entropy; entropy-power inequality (EPI); minimum mean-square error (MMSE);
D O I
10.1109/TIT.2006.872978
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This correspondence gives a simple proof of Shannon's entropy-power inequality (EPI) using the relationship between mutual information and minimum mean-square error (MMSE) in Gaussian channels.
引用
收藏
页码:2165 / 2166
页数:2
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