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Passive–active integrators chaotic oscillator with anti-parallel diodes: analysis and its chaos-based encryption application to protect electrocardiogram signals

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Abstract

An autonomous passive–active integrators oscillator with anti-parallel diodes is proposed and analysed in this paper. It consists of anti-parallel diodes and two main blocks: A second-order passive RLC integrator and a first-order active RC integrator. The existence of two Hopf bifurcations is established during the stability analysis of the unique equilibrium point. For a suitable choice of the circuit parameters, the proposed oscillator can generate periodic oscillations, one-scroll, bistable chaotic attractors and antimonotonicity. The electronic circuit realization of the proposed oscillator is carried out to confirm results found during the numerical simulations. A good qualitative agreement is illustrated between the numerical simulations and experimental results. In addition, chaos-based encryption application to protect electrocardiogram (ECG) signals for secure transmission of medical information is performed using the proposed oscillator in chaotic regime. The ECG signals are successfully encrypted and the original ECG signal is successfully decrypted from noisy ECG signals.

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Acknowledgements

Authors would like to thank Mr. Marc Esperance Songolo (Department of Mathematics and Computer Science, University of Lubumbashi, Lubumbashi, R.D. Congo) for interesting discussions on mathematical analysis and carefully reading the manuscript and Dr. Gaby Tchimmoue (College of Technology, University of Buea, Cameroon) for providing data on ECG signals.

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This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.

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Authors and Affiliations

  1. Research Unit of Automation and Applied Computer (RU-AIA), Electrical Engineering Department of IUT-FV, University of Dschang, P.O. Box: 134, Bandjoun, Cameroon

    Justin Roger Mboupda Pone

  2. Department of Electronic and Automation, Vocational School of Hacıbektaş, Nevşehir Hacı Bektaş Veli University, 50800, Hacıbektaş, Nevşehir, Turkey

    Serdar Çiçek

  3. Department of Mechanical, Petroleum and Gas Engineering, Faculty of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon

    Sifeu Takougang Kingni

  4. Signal, Image and Systems Laboratory, HTTTC, Ebolowa, University of Yaoundé I, P.O. Box 886, Ebolowa, Cameroon

    Alain Tiedeu

  5. Laboratoire de Génie Electrique Mécatronique et Traitement du Signal (LGEMTS), GRETMAT Team, Electrical Engineering Department of National Advanced School of Engineering, ENSP, University of Yaoundé I, P.O. Box: 8390, Yaoundé, Cameroon

    Martin Kom

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  1. Justin Roger Mboupda Pone
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Correspondence to Justin Roger Mboupda Pone.

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Mboupda Pone, J.R., Çiçek, S., Takougang Kingni, S. et al. Passive–active integrators chaotic oscillator with anti-parallel diodes: analysis and its chaos-based encryption application to protect electrocardiogram signals. Analog Integr Circ Sig Process 103, 1–15 (2020). https://doi.org/10.1007/s10470-019-01557-0

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