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Time Series Analysis Using Composite Multiscale Entropy

Time series analysis using composite multiscale entropy
Authors: Shuen-De Wu; Chiu-Wen Wu; Shiou-Gwo Lin; Chun-Chieh Wang; Kung-Yen Lee;

Time Series Analysis Using Composite Multiscale Entropy

Abstract

Multiscale entropy (MSE) was recently developed to evaluate the complexity of time series over different time scales. Although the MSE algorithm has been successfully applied in a number of different fields, it encounters a problem in that the statistical reliability of the sample entropy (SampEn) of a coarse-grained series is reduced as a time scale factor is increased. Therefore, in this paper, the concept of a composite multiscale entropy (CMSE) is introduced to overcome this difficulty. Simulation results on both white noise and 1/f noise show that the CMSE provides higher entropy reliablity than the MSE approach for large time scale factors. On real data analysis, both the MSE and CMSE are applied to extract features from fault bearing vibration signals. Experimental results demonstrate that the proposed CMSE-based feature extractor provides higher separability than the MSE-based feature extractor.

Keywords

numerical examples, Measures of information, entropy, algorithm, Science, Physics, QC1-999, Q, data analysis, Computational problems in statistics, multiscale entropy, fault diagnosis, Astrophysics, statistical reliability, QB460-466, Time series, auto-correlation, regression, etc. in statistics (GARCH), Data analysis (statistics), composite multiscale entropy, time series, composite<b> </b>multiscale entropy

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    Top 1%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
313
Top 1%
Top 1%
Top 1%
gold