Email this article Analysis of chaotic synchronization of cascade coupled systems for phase-locked loop using wavelet analysis
- Authors: Shakhtarin B.I.1, Sidorkina Y.A.1, Khodunin A.V.2
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Affiliations:
- Bauman State Technical University
- Demidov State University
- Issue: Vol 62, No 11 (2017)
- Pages: 1262-1270
- Section: Dynamics Chaos in Radiophysics and Electronics
- URL: https://journals.rcsi.science/1064-2269/article/view/198960
- DOI: https://doi.org/10.1134/S1064226917100151
- ID: 198960
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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.
About the authors
B. I. Shakhtarin
Bauman State Technical University
Author for correspondence.
Email: shakhtarin@mail.ru
Russian Federation, Moscow, 105005
Yu. A. Sidorkina
Bauman State Technical University
Email: shakhtarin@mail.ru
Russian Federation, Moscow, 105005
A. V. Khodunin
Demidov State University
Email: shakhtarin@mail.ru
Russian Federation, Yaroslavl, 150000
