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Long-range dependencies in heart rate signals—revisited

Author

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  • Makowiec, Danuta
  • Gała¸ska, Rafał
  • Dudkowska, Aleksandra
  • Rynkiewicz, Andrzej
  • Zwierz, Marcin

Abstract

The arguments are given that local exponents obtained in multifractal analysis by two methods: wavelet transform modulus maxima (WTMM) and multifractal detrended fluctuation analysis (MDFA) allow to separate statistically hearts of healthy people and subjects suffering from reduced left ventricle systolic function (NYHA I–III class). Proposed indices of fractality suggest that a signal of human heart rate is a mixture of two processes: monofractal and multifractal ones.

Suggested Citation

  • Makowiec, Danuta & Gała¸ska, Rafał & Dudkowska, Aleksandra & Rynkiewicz, Andrzej & Zwierz, Marcin, 2006. "Long-range dependencies in heart rate signals—revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 632-644.
    • Handle: RePEc:eee:phsmap:v:369:y:2006:i:2:p:632-644
    DOI: 10.1016/j.physa.2006.02.038
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    References listed on IDEAS

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    1. Bacry, E. & Delour, J. & Muzy, J.F., 2001. "Modelling financial time series using multifractal random walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 84-92.
    2. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
    3. Schertzer, D. & Lovejoy, S., 1992. "Hard and soft multifractal processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 187-194.
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    Cited by:

    1. Degli Esposti, M. & Farinelli, C. & Menconi, G., 2009. "Sequence distance via parsing complexity: Heartbeat signals," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 991-999.
    2. Makowiec, Danuta & Dudkowska, Aleksandra & Gała̧ska, Rafał & Rynkiewicz, Andrzej, 2009. "Multifractal estimates of monofractality in RR-heart series in power spectrum ranges," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3486-3502.
    3. Jiang, Chenguang & Shang, Pengjian & Shi, Wenbin, 2016. "Multiscale multifractal time irreversibility analysis of stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 492-507.

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