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On the question of the best additive noise among symmetric log-concave noises

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dc.abstract.enIn 1948, Shannon showed that the worst additive noise channel for a given noise power is the additive white Gaussian noise channel. We pose the question of the best additive noise within a natural class of noise distributions- namely, symmetric and log-concave distributions on the real line. While we are unable to answer the question, we do completely solve two related optimization problems. In particular, we identify the distribution in this class that minimizes differential entropy when the variance is fixed, and thereby give refined capacity bounds for channels with symmetric log-concave noises. A full version of this paper which also contains more general results and some additional theorems and corollaries is accessible at: https://arxiv.org/abs/1811.00345.
dc.affiliationUniwersytet Warszawski
dc.conference.countryFrancja
dc.conference.datefinish2019-07-12
dc.conference.datestart2019-07-07
dc.conference.placeParis
dc.conference.seriesIEEE International Symposium on Information Theory
dc.conference.seriesIEEE International Symposium on Information Theory
dc.conference.seriesshortcutISIT
dc.conference.shortcutISIT 2019
dc.conference.weblinkhttps://2019.ieee-isit.org/
dc.contributor.authorNayar, Piotr
dc.contributor.authorMadiman, Mokshay
dc.contributor.authorTkocz, Tomasz
dc.date.accessioned2024-01-25T15:48:53Z
dc.date.available2024-01-25T15:48:53Z
dc.date.issued2019
dc.description.financeNie dotyczy
dc.identifier.doi10.1109/ISIT.2019.8849535
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/114850
dc.identifier.weblinkhttp://xplorestaging.ieee.org/ielx7/8827389/8849208/08849535.pdf?arnumber=8849535
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.pages1837 - 1841
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleOn the question of the best additive noise among symmetric log-concave noises
dc.typeJournalArticle
dspace.entity.typePublication