A simple proof of the entropy-power inequality

Sergio Verdú, Dongning Guo

Research output: Contribution to journalArticlepeer-review

93 Scopus citations


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 languageEnglish (US)
Pages (from-to)2165-2166
Number of pages2
JournalIEEE Transactions on Information Theory
Issue number5
StatePublished - May 2006

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


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


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