A simple proof of the entropy-power inequality

Sergio Verdú; Dongning Guo

doi:10.1109/TIT.2006.872978

A simple proof of the entropy-power inequality

Sergio Verdú^*, Dongning Guo

^*Corresponding author for this work

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

82 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	2165-2166
Number of pages	2
Journal	IEEE Transactions on Information Theory
Volume	52
Issue number	5
DOIs	https://doi.org/10.1109/TIT.2006.872978
State	Published - May 1 2006

Keywords

Differential entropy
Entropy-power inequality (EPI)
Minimum mean-square error (MMSE)

ASJC Scopus subject areas

Information Systems
Computer Science Applications
Library and Information Sciences

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abstract = "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.",

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