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Analysis of chaotic synchronization of cascade coupled systems for phase-locked loop using wavelet analysis

  • Dynamics Chaos in Radiophysics and Electronics
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Abstract

A method for detection and study of chaotic synchronization of cascade coupled single ring continuous phase-locked-loop systems is based on the determination of the phase of chaotic signal using continuous wavelet transform and the subsequent monitoring of phases on time (frequency) scales. Morlet, Gauss, Shannon, and B-spline complex wavelets are studied. The results of mathematical simulation are presented. Signal-to-noise ratios that allow chaotic phase synchronization are estimated.

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Authors and Affiliations

  1. Bauman State Technical University, Moscow, 105005, Russia

    B. I. Shakhtarin & Yu. A. Sidorkina

  2. Demidov State University, Yaroslavl, 150000, Russia

    A. V. Khodunin

Authors
  1. B. I. Shakhtarin
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  2. Yu. A. Sidorkina
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  3. A. V. Khodunin
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Corresponding author

Correspondence to B. I. Shakhtarin.

Additional information

Original Russian Text © B.I. Shakhtarin, Yu.A. Sidorkina, A.V. Khodunin, 2017, published in Radiotekhnika i Elektronika, 2017, Vol. 62, No. 11, pp. 1097–1105.

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Shakhtarin, B.I., Sidorkina, Y.A. & Khodunin, A.V. Analysis of chaotic synchronization of cascade coupled systems for phase-locked loop using wavelet analysis. J. Commun. Technol. Electron. 62, 1262–1270 (2017). https://doi.org/10.1134/S1064226917100151

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  • DOI: https://doi.org/10.1134/S1064226917100151

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