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Open AccessArticle

Permutation Entropy Based on Non-Uniform Embedding

Department of Engineering Mechanics, Hohai University, Nanjing 210098, China
Center for Nonlinear Systems, Kaunas University of Technology, Studentu 50-146, LT-51368 Kaunas, Lithuania
Author to whom correspondence should be addressed.
Entropy 2018, 20(8), 612;
Received: 11 July 2018 / Revised: 7 August 2018 / Accepted: 8 August 2018 / Published: 17 August 2018
(This article belongs to the Section Complexity)
A novel visualization scheme for permutation entropy is presented in this paper. The proposed scheme is based on non-uniform attractor embedding of the investigated time series. A single digital image of permutation entropy is produced by averaging all possible plain projections of the permutation entropy measure in the multi-dimensional delay coordinate space. Computational experiments with artificially-generated and real-world time series are used to demonstrate the advantages of the proposed visualization scheme. View Full-Text
Keywords: permutation entropy; ordinal pattern; attractor embedding; multi-dimensional phase space permutation entropy; ordinal pattern; attractor embedding; multi-dimensional phase space
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Tao, M.; Poskuviene, K.; Alkayem, N.F.; Cao, M.; Ragulskis, M. Permutation Entropy Based on Non-Uniform Embedding. Entropy 2018, 20, 612.

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