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Analysis of Non-stationary Signals by Recurrence Dissimilarity

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Recurrence Plots and Their Quantifications: Expanding Horizons

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 180))

Abstract

We propose a new method for testing non-stationary and intermittent signals. Using a basic recurrence plot quantifier, i.e. a recurrence rate, we create a relative measure which is sensitive to changes in the nature of signal. Given the specificity of this measure, we call it recurrence dissimilarity (RD). First, we test it using well-known non-linear systems for which we generate signals with different intermittent characteristics. In addition, the generated signals are disturbed by noise. The effectiveness of our measure is verified by applying different variables and noise levels. The results allow us to draw a number of conclusions concerning the proposed method. Finally, we give examples of using this method for experimental data analysis. We report the results of detecting changes in flowing patterns in two-phase flows and of switching heart modes in the signals recorded in ECG Holter tests.

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Acknowledgments

The research was funded by the National Science Centre, Poland—the number of decision: DEC-2013/09/B/ST8/02850. The authors express their gratitude to the Department of Cardiology, John Paul II Hospital in Zamość and to the Clinic of Cardiology, Hospital SPSK 4 in Lublin for providing the ECG data.

Author information

Authors and Affiliations

  1. Lublin University of Technology, Nadbystrzycka 36, 20-618, Lublin, Poland

    Andrzej Rysak & Grzegorz Litak

  2. Bialystok University of Technology, Wiejska 45C, 15-351, Bialystok, Poland

    Romuald Mosdorf

Authors
  1. Andrzej Rysak
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  2. Grzegorz Litak
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  3. Romuald Mosdorf
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Corresponding author

Correspondence to Andrzej Rysak .

Editor information

Editors and Affiliations

  1. Dept. of Cell and Molecular Physiology, Loyola University Chicago, Maywood, Illinois, USA

    Charles L. Webber, Jr.

  2. GIPSA-Lab, University Grenoble Alpes, Grenoble, France

    Cornel Ioana

  3. Potsdam Ins. for Climate Impact Research, Potsdam, Germany

    Norbert Marwan

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Rysak, A., Litak, G., Mosdorf, R. (2016). Analysis of Non-stationary Signals by Recurrence Dissimilarity. In: Webber, Jr., C., Ioana, C., Marwan, N. (eds) Recurrence Plots and Their Quantifications: Expanding Horizons. Springer Proceedings in Physics, vol 180. Springer, Cham. https://doi.org/10.1007/978-3-319-29922-8_4

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