Continuity of mutual entropy in the limiting signal-to-noise ratio regimes

Mark Kelbert, Iouri M. Soukhov

Research output: Chapter in Book/Report/Conference proceedingChapter

5 Scopus citations

Abstract

This article addresses the issue of the proof of the entropy power inequality (EPI), an important tool in the analysis of Gaussian channels of information transmission, proposed by Shannon. We analyse continuity properties of the mutual entropy of the input and output signals in an additive memoryless channel and discuss assumptions under which the entropy-power inequality holds true.

Original languageEnglish (US)
Title of host publicationStochastic Analysis 2010
PublisherSpringer Berlin Heidelberg
Pages281-299
Number of pages19
ISBN (Print)9783642153570
DOIs
StatePublished - Dec 1 2011

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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    Kelbert, M., & Soukhov, I. M. (2011). Continuity of mutual entropy in the limiting signal-to-noise ratio regimes. In Stochastic Analysis 2010 (pp. 281-299). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-15358-7_14