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By James A. Barnes

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Therefore, the model is simple and enables to extract three parameters per phase space diagrams: ∙ the polar angle ???? of the ellipse assuming that ???? is the angle between the first axis and the major semi-axis ∙ the major semi-axis a ∙ the minor semi-axis b We assume the center of the ellipse being the center of phase space diagrams as transients can be considered as zero-mean signals. 3 Multi-lag Phase Diagram Analysis for Transient Signal Characterization 45 y (n) = x (n + τ ) Fig. 5 Ellipse modeling: major and minor axis are determined by an SVD on phase space diagram, and a least square fitting method is used to calculate a and b a θ O x (n) b The first step consists in performing a singular value decomposition (SVD) of the phase space diagram to calculate its eigenvectors.

Lett. A 302, 299–307 (2002) 10. F. Popescu, F. C. Vizitiu, P. Ciotîrnae, Recurrence plot analysis for characterization of appliance load signature, in 10th International Conference on Communications, Bucharest, Romania, 2014 11. H. Yang, Multiscale recurrence quantification analysis of spatial cardiac vectorcardiogram (VCG) signals. IEEE Trans. Biomed. Eng. 58(2), 339–347 (2011) 38 A. Digulescu et al. 12. Y. Chen, H. Yang, Multiscale recurrence analysis of long-term nonlinear and nonstationary time series.

15 belong to the humid continental climate (Dfb), semi-arid climate (BSk) or the hot desert climate (BWh). The aim of this experiment is to see whether the RQA measures will group stations belonging to the same climate into a common cluster. In this experiment, we consider time series from January 2008 to December 2013 at an hourly resolution that capture the relative humidity measured at each station. We exclude the annual and the daily humidity cycle from the time series. 4 presents the time series utilized in this experiment.

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