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A hybrid symplectic principal component analysis and central tendency measure method for detection of determinism in noisy time series with application to mechanomyography
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10.1063/1.4812287
/content/aip/journal/chaos/23/2/10.1063/1.4812287
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/2/10.1063/1.4812287

Figures

Image of FIG. 1.
FIG. 1.

The determinacy index versus SNR for various time series under different levels of added Gaussian white noise (left panels) and colored noise (right panels). These series correspond to the (a) Lorenz, (b) Rossler, (c) Van der Pol, (d) Mackey-Glass, and (e) high dimensional time series. Horizontal dashed lines in each panel denote the critical SI values of 0.3 and 0.7 for detecting determinacy.

Image of FIG. 2.
FIG. 2.

The determinacy index versus SNR for the ecological map time series under various levels of added Gaussian white noise (left panel) and colored noise (right panel). Horizontal dashed lines in both panels denote the critical SI values of 0.3 and 0.7 for detecting determinacy.

Image of FIG. 3.
FIG. 3.

Typical raw MMG signal recorded at the biceps from subject 2 (a) and (b) its surrogate series.

Image of FIG. 4.
FIG. 4.

Attractor for the MMG signal, obtained by phase reconstruction of typical raw MMG data.

Image of FIG. 5.
FIG. 5.

Second-order difference plots of the angle series from successive tangent vectors of the trajectory in (a) MMG data in subject 3 and (b) its surrogate data.

Image of FIG. 6.
FIG. 6.

The distribution of the values of obtained for the 39 surrogates of the MMG signal in subject 5. The value of the original signal is represented by a red hexagram.

Tables

Generic image for table
Table I.

The determinacy index for MMG signals obtained by SPCA-CTM and CTM methods in five human subjects.

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/content/aip/journal/chaos/23/2/10.1063/1.4812287
2013-06-26
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A hybrid symplectic principal component analysis and central tendency measure method for detection of determinism in noisy time series with application to mechanomyography
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/2/10.1063/1.4812287
10.1063/1.4812287
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