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Reverse Dispersion Entropy: A New Complexity Measure for Sensor Signal

Permutation entropy (PE), as one of the powerful complexity measures for analyzing time series, has advantages of easy implementation and high efficiency. In order to improve the performance of PE, some improved PE methods have been proposed through introducing amplitude information and distance inf...

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Autores principales: Li, Yuxing, Gao, Xiang, Wang, Long
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6928695/
https://www.ncbi.nlm.nih.gov/pubmed/31783659
http://dx.doi.org/10.3390/s19235203
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author Li, Yuxing
Gao, Xiang
Wang, Long
author_facet Li, Yuxing
Gao, Xiang
Wang, Long
author_sort Li, Yuxing
collection PubMed
description Permutation entropy (PE), as one of the powerful complexity measures for analyzing time series, has advantages of easy implementation and high efficiency. In order to improve the performance of PE, some improved PE methods have been proposed through introducing amplitude information and distance information in recent years. Weighted-permutation entropy (W-PE) weight each arrangement pattern by using variance information, which has good robustness and stability in the case of high noise level and can extract complexity information from data with spike feature or abrupt amplitude change. Dispersion entropy (DE) introduces amplitude information by using the normal cumulative distribution function (NCDF); it not only can detect the change of simultaneous frequency and amplitude, but also is superior to the PE method in distinguishing different data sets. Reverse permutation entropy (RPE) is defined as the distance to white noise in the opposite trend with PE and W-PE, which has high stability for time series with varying lengths. To further improve the performance of PE, we propose a new complexity measure for analyzing time series, and term it as reverse dispersion entropy (RDE). RDE takes PE as its theoretical basis and combines the advantages of DE and RPE by introducing amplitude information and distance information. Simulation experiments were carried out on simulated and sensor signals, including mutation signal detection under different parameters, noise robustness testing, stability testing under different signal-to-noise ratios (SNRs), and distinguishing real data for different kinds of ships and faults. The experimental results show, compared with PE, W-PE, RPE, and DE, that RDE has better performance in detecting abrupt signal and noise robustness testing, and has better stability for simulated and sensor signal. Moreover, it also shows higher distinguishing ability than the other four kinds of PE for sensor signals.
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spelling pubmed-69286952019-12-26 Reverse Dispersion Entropy: A New Complexity Measure for Sensor Signal Li, Yuxing Gao, Xiang Wang, Long Sensors (Basel) Article Permutation entropy (PE), as one of the powerful complexity measures for analyzing time series, has advantages of easy implementation and high efficiency. In order to improve the performance of PE, some improved PE methods have been proposed through introducing amplitude information and distance information in recent years. Weighted-permutation entropy (W-PE) weight each arrangement pattern by using variance information, which has good robustness and stability in the case of high noise level and can extract complexity information from data with spike feature or abrupt amplitude change. Dispersion entropy (DE) introduces amplitude information by using the normal cumulative distribution function (NCDF); it not only can detect the change of simultaneous frequency and amplitude, but also is superior to the PE method in distinguishing different data sets. Reverse permutation entropy (RPE) is defined as the distance to white noise in the opposite trend with PE and W-PE, which has high stability for time series with varying lengths. To further improve the performance of PE, we propose a new complexity measure for analyzing time series, and term it as reverse dispersion entropy (RDE). RDE takes PE as its theoretical basis and combines the advantages of DE and RPE by introducing amplitude information and distance information. Simulation experiments were carried out on simulated and sensor signals, including mutation signal detection under different parameters, noise robustness testing, stability testing under different signal-to-noise ratios (SNRs), and distinguishing real data for different kinds of ships and faults. The experimental results show, compared with PE, W-PE, RPE, and DE, that RDE has better performance in detecting abrupt signal and noise robustness testing, and has better stability for simulated and sensor signal. Moreover, it also shows higher distinguishing ability than the other four kinds of PE for sensor signals. MDPI 2019-11-27 /pmc/articles/PMC6928695/ /pubmed/31783659 http://dx.doi.org/10.3390/s19235203 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Li, Yuxing
Gao, Xiang
Wang, Long
Reverse Dispersion Entropy: A New Complexity Measure for Sensor Signal
title Reverse Dispersion Entropy: A New Complexity Measure for Sensor Signal
title_full Reverse Dispersion Entropy: A New Complexity Measure for Sensor Signal
title_fullStr Reverse Dispersion Entropy: A New Complexity Measure for Sensor Signal
title_full_unstemmed Reverse Dispersion Entropy: A New Complexity Measure for Sensor Signal
title_short Reverse Dispersion Entropy: A New Complexity Measure for Sensor Signal
title_sort reverse dispersion entropy: a new complexity measure for sensor signal
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6928695/
https://www.ncbi.nlm.nih.gov/pubmed/31783659
http://dx.doi.org/10.3390/s19235203
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AT wanglong reversedispersionentropyanewcomplexitymeasureforsensorsignal