A Novel Method for Increasing the Entropy of a Sequence of Independent, Discrete Random Variables

In this paper, we propose a novel method for increasing the entropy of a sequence of independent, discrete random variables with arbitrary distributions. The method uses an auxiliary table and a novel theorem that concerns the entropy of a sequence in which the elements are a bitwise exclusive-or su...

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Main Author:	Mieczyslaw Jessa
Format:	Article
Language:	English
Published:	MDPI AG 2015-10-01
Series:	Entropy
Subjects:	entropy sequences random variables distribution combining exclusive-or
Online Access:	http://www.mdpi.com/1099-4300/17/10/7118

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spelling	doaj-248839dd23884e109cd411058d0691a92020-11-24T22:33:45ZengMDPI AGEntropy1099-43002015-10-0117107118713210.3390/e17107118e17107118A Novel Method for Increasing the Entropy of a Sequence of Independent, Discrete Random VariablesMieczyslaw Jessa0Faculty of Electronics and Telecommunications, Poznan University of Technology, ul. Polanka 3, 61-131 Poznan, PolandIn this paper, we propose a novel method for increasing the entropy of a sequence of independent, discrete random variables with arbitrary distributions. The method uses an auxiliary table and a novel theorem that concerns the entropy of a sequence in which the elements are a bitwise exclusive-or sum of independent discrete random variables.http://www.mdpi.com/1099-4300/17/10/7118entropysequencesrandom variablesdistributioncombining exclusive-or
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mieczyslaw Jessa
spellingShingle	Mieczyslaw Jessa A Novel Method for Increasing the Entropy of a Sequence of Independent, Discrete Random Variables Entropy entropy sequences random variables distribution combining exclusive-or
author_facet	Mieczyslaw Jessa
author_sort	Mieczyslaw Jessa
title	A Novel Method for Increasing the Entropy of a Sequence of Independent, Discrete Random Variables
title_short	A Novel Method for Increasing the Entropy of a Sequence of Independent, Discrete Random Variables
title_full	A Novel Method for Increasing the Entropy of a Sequence of Independent, Discrete Random Variables
title_fullStr	A Novel Method for Increasing the Entropy of a Sequence of Independent, Discrete Random Variables
title_full_unstemmed	A Novel Method for Increasing the Entropy of a Sequence of Independent, Discrete Random Variables
title_sort	novel method for increasing the entropy of a sequence of independent, discrete random variables
publisher	MDPI AG
series	Entropy
issn	1099-4300
publishDate	2015-10-01
description	In this paper, we propose a novel method for increasing the entropy of a sequence of independent, discrete random variables with arbitrary distributions. The method uses an auxiliary table and a novel theorem that concerns the entropy of a sequence in which the elements are a bitwise exclusive-or sum of independent discrete random variables.
topic	entropy sequences random variables distribution combining exclusive-or
url	http://www.mdpi.com/1099-4300/17/10/7118
work_keys_str_mv	AT mieczyslawjessa anovelmethodforincreasingtheentropyofasequenceofindependentdiscreterandomvariables AT mieczyslawjessa novelmethodforincreasingtheentropyofasequenceofindependentdiscreterandomvariables
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A Novel Method for Increasing the Entropy of a Sequence of Independent, Discrete Random Variables

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