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Entropy 2018, 20(8), 612;

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.
Received: 11 July 2018 / Revised: 7 August 2018 / Accepted: 8 August 2018 / Published: 17 August 2018
(This article belongs to the Section Complexity)
Full-Text   |   PDF [1896 KB, uploaded 18 August 2018]   |  


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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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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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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