IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i24p4903-d1296268.html
   My bibliography  Save this article

Method of Extracting the Instantaneous Phases and Frequencies of Respiration from the Signal of a Photoplethysmogram

Author

Listed:
  • Ekaterina I. Borovkova

    (Institute of Physics, Saratov State University, 83 Astrakhanskaya St., 410012 Saratov, Russia
    Institute of Cardiological Research, Saratov State Medical University, 112 Bolshaya Kazachya St., 410012 Saratov, Russia
    National Medical Research Center for Therapy and Preventive Medicine, 10 Petroverigsky Per., 101000 Moscow, Russia)

  • Vladimir I. Ponomarenko

    (Institute of Physics, Saratov State University, 83 Astrakhanskaya St., 410012 Saratov, Russia
    Saratov Branch, Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 38 Zelyonaya St., 410019 Saratov, Russia)

  • Anatoly S. Karavaev

    (Institute of Physics, Saratov State University, 83 Astrakhanskaya St., 410012 Saratov, Russia
    Institute of Cardiological Research, Saratov State Medical University, 112 Bolshaya Kazachya St., 410012 Saratov, Russia
    Saratov Branch, Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 38 Zelyonaya St., 410019 Saratov, Russia)

  • Elizaveta S. Dubinkina

    (Institute of Physics, Saratov State University, 83 Astrakhanskaya St., 410012 Saratov, Russia)

  • Mikhail D. Prokhorov

    (Institute of Physics, Saratov State University, 83 Astrakhanskaya St., 410012 Saratov, Russia
    Saratov Branch, Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 38 Zelyonaya St., 410019 Saratov, Russia)

Abstract

We propose for the first time a method for extracting the instantaneous phases of respiration from the signal of a photoplethysmogram (PPG). In addition to the instantaneous phases of respiration, this method allows for more accurately extracting the instantaneous frequencies of respiration from a PPG than other methods. The proposed method is based on a calculation of the element-wise product of the wavelet spectrum of a PPG and the sequence of intervals between the heartbeats extracted from a PPG, and a calculation of the skeleton of the resulting spectrum in the respiratory frequency range. It is shown that such an element-wise product makes it possible to extract the instantaneous phases and instantaneous frequencies of respiration more accurately than using the wavelet transform of a PPG signal or the sequence of the heartbeat intervals. The proposed method was verified by analyzing the signals from healthy subjects recorded during stress-inducing cognitive tasks. This method can be used in wearable devices for signal processing.

Suggested Citation

  • Ekaterina I. Borovkova & Vladimir I. Ponomarenko & Anatoly S. Karavaev & Elizaveta S. Dubinkina & Mikhail D. Prokhorov, 2023. "Method of Extracting the Instantaneous Phases and Frequencies of Respiration from the Signal of a Photoplethysmogram," Mathematics, MDPI, vol. 11(24), pages 1-14, December.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:24:p:4903-:d:1296268
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/24/4903/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/11/24/4903/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ponomarenko, V.I. & Prokhorov, M.D. & Bespyatov, A.B. & Bodrov, M.B. & Gridnev, V.I., 2005. "Deriving main rhythms of the human cardiovascular system from the heartbeat time series and detecting their synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1429-1438.
    2. Carsten Schäfer & Michael G. Rosenblum & Jürgen Kurths & Hans-Henning Abel, 1998. "Heartbeat synchronized with ventilation," Nature, Nature, vol. 392(6673), pages 239-240, March.
    3. Lotrič, Maja Bračič & Stefanovska, Aneta, 2000. "Synchronization and modulation in the human cardiorespiratory system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 283(3), pages 451-461.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ponomarenko, V.I. & Prokhorov, M.D. & Bespyatov, A.B. & Bodrov, M.B. & Gridnev, V.I., 2005. "Deriving main rhythms of the human cardiovascular system from the heartbeat time series and detecting their synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1429-1438.
    2. Manfred Georg Moertl & Helmut Karl Lackner & Ilona Papousek & Andreas Roessler & Helmut Hinghofer-Szalkay & Uwe Lang & Vassiliki Kolovetsiou-Kreiner & Dietmar Schlembach, 2013. "Phase Synchronization of Hemodynamic Variables at Rest and after Deep Breathing Measured during the Course of Pregnancy," PLOS ONE, Public Library of Science, vol. 8(4), pages 1-10, April.
    3. Suresh, R. & Senthilkumar, D.V. & Lakshmanan, M. & Kurths, J., 2016. "Emergence of a common generalized synchronization manifold in network motifs of structurally different time-delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 235-245.
    4. Rodríguez, A. & De León, J. & Fridman, L., 2009. "Synchronization in reduced-order of chaotic systems via control approaches based on high-order sliding-mode observer," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3219-3233.
    5. Kudeyt, Mahmut & Kıvılcım, Ayşegül & Köksal-Ersöz, Elif & İlhan, Ferruh & Karabacak, Özkan, 2023. "Certification of almost global phase synchronization of all-to-all coupled phase oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    6. López-Mancilla, Didier & Cruz-Hernández, César, 2008. "Output synchronization of chaotic systems under nonvanishing perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1172-1186.
    7. Li, Yu & Wang, Jun & Li, Jin & Liu, Dazhao, 2015. "Effect of extreme data loss on heart rate signals quantified by entropy analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 651-658.
    8. Jajcay, Nikola, 2018. "Spatial and temporal scales of atmospheric dynamics," Thesis Commons ar8ks, Center for Open Science.
    9. Li, Jin & Hu, Jing & Zhang, Yinhong & Zhang, Xiaofeng, 2011. "Dynamical complexity changes during two forms of meditation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2381-2387.
    10. Polynikis, A. & di Bernardo, M. & Hogan, S.J., 2009. "Synchronizability of coupled PWL maps," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1353-1367.
    11. Vieira, Robson & Martins, Weliton S. & Barreiro, Sergio & Oliveira, Rafael A. de & Chevrollier, Martine & Oriá, Marcos, 2021. "Synchronization of a nonlinear oscillator with a sum signal from equivalent oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    12. Christoph Bauermeister & Tilo Schwalger & David F Russell & Alexander B Neiman & Benjamin Lindner, 2013. "Characteristic Effects of Stochastic Oscillatory Forcing on Neural Firing: Analytical Theory and Comparison to Paddlefish Electroreceptor Data," PLOS Computational Biology, Public Library of Science, vol. 9(8), pages 1-16, August.
    13. Setty, V.A. & Sharma, A.S., 2015. "Characterizing Detrended Fluctuation Analysis of multifractional Brownian motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 698-706.
    14. Yurii M. Ishbulatov & Tatiana S. Bibicheva & Vladimir I. Gridnev & Mikhail D. Prokhorov & Marina V. Ogneva & Anton R. Kiselev & Anatoly S. Karavaev, 2022. "Contribution of Cardiorespiratory Coupling to the Irregular Dynamics of the Human Cardiovascular System," Mathematics, MDPI, vol. 10(7), pages 1-18, March.
    15. Lee, S.H. & Park, M.J. & Kwon, O.M. & Sakthivel, R., 2016. "Master-slave synchronization for nonlinear systems via reliable control with gaussian stochastic process," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 439-459.
    16. Maik Riedl & Andreas Müller & Jan F Kraemer & Thomas Penzel & Juergen Kurths & Niels Wessel, 2014. "Cardio-Respiratory Coordination Increases during Sleep Apnea," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-7, April.
    17. Yuanzhao Zhang & Maxime Lucas & Federico Battiston, 2023. "Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes," Nature Communications, Nature, vol. 14(1), pages 1-8, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:24:p:4903-:d:1296268. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.