A simple proof of the entropy-power inequality

被引：93

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

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2006年 / 52卷 / 05期

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 [计算机科学与技术];

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

页码：2165 / 2166

页数：2

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