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Article

Permutation Entropy Based on Non-Uniform Embedding

1
Department of Engineering Mechanics, Hohai University, Nanjing 210098, China
2
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; https://doi.org/10.3390/e20080612
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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MDPI and ACS Style

Tao, M.; Poskuviene, K.; Alkayem, N.F.; Cao, M.; Ragulskis, M. Permutation Entropy Based on Non-Uniform Embedding. Entropy 2018, 20, 612. https://doi.org/10.3390/e20080612

AMA Style

Tao M, Poskuviene K, Alkayem NF, Cao M, Ragulskis M. Permutation Entropy Based on Non-Uniform Embedding. Entropy. 2018; 20(8):612. https://doi.org/10.3390/e20080612

Chicago/Turabian Style

Tao, Mei, Kristina Poskuviene, Nizar F. Alkayem, Maosen Cao, and Minvydas Ragulskis. 2018. "Permutation Entropy Based on Non-Uniform Embedding" Entropy 20, no. 8: 612. https://doi.org/10.3390/e20080612

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