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

Abstract

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.

Keywords

• entropy
• sequences
• random variables
• distribution
• combining exclusive-or