EKF-based dual synchronization of chaotic colpitts circuit and Chua’s circuit

Shaohua Hong; Zhiguo Shi; Kangsheng Chen

Kybernetika (2008)

  • Volume: 44, Issue: 4, page 482-491
  • ISSN: 0023-5954

Abstract

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In this paper, dual synchronization of a hybrid system containing a chaotic Colpitts circuit and a Chua’s circuit, connected by an additive white Gaussian noise (AWGN) channel, is studied via numeric simulations. The extended Kalman filter (EKF) is employed as the response system to achieve the dual synchronization. Two methods are proposed and investigated. The first method treats the combination of a Colpitts circuit and a Chua’s circuit as a higher- dimensional system, while the second method considers the Colpitts circuit and Chua’s circuit separately and utilizes the cross-coupling scheme. The simulation results indicate that the proposed methods can effectively achieve and maintain dual synchronization of the hybrid system through an AWGN channel.

How to cite

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Hong, Shaohua, Shi, Zhiguo, and Chen, Kangsheng. "EKF-based dual synchronization of chaotic colpitts circuit and Chua’s circuit." Kybernetika 44.4 (2008): 482-491. <http://eudml.org/doc/33943>.

@article{Hong2008,
abstract = {In this paper, dual synchronization of a hybrid system containing a chaotic Colpitts circuit and a Chua’s circuit, connected by an additive white Gaussian noise (AWGN) channel, is studied via numeric simulations. The extended Kalman filter (EKF) is employed as the response system to achieve the dual synchronization. Two methods are proposed and investigated. The first method treats the combination of a Colpitts circuit and a Chua’s circuit as a higher- dimensional system, while the second method considers the Colpitts circuit and Chua’s circuit separately and utilizes the cross-coupling scheme. The simulation results indicate that the proposed methods can effectively achieve and maintain dual synchronization of the hybrid system through an AWGN channel.},
author = {Hong, Shaohua, Shi, Zhiguo, Chen, Kangsheng},
journal = {Kybernetika},
keywords = {chaos; dual synchronization; Colpitts circuit; Chua’s circuit; EKF; chaos; dual synchronization; Colpitts circuit; Chua's circuit; EKF},
language = {eng},
number = {4},
pages = {482-491},
publisher = {Institute of Information Theory and Automation AS CR},
title = {EKF-based dual synchronization of chaotic colpitts circuit and Chua’s circuit},
url = {http://eudml.org/doc/33943},
volume = {44},
year = {2008},
}

TY - JOUR
AU - Hong, Shaohua
AU - Shi, Zhiguo
AU - Chen, Kangsheng
TI - EKF-based dual synchronization of chaotic colpitts circuit and Chua’s circuit
JO - Kybernetika
PY - 2008
PB - Institute of Information Theory and Automation AS CR
VL - 44
IS - 4
SP - 482
EP - 491
AB - In this paper, dual synchronization of a hybrid system containing a chaotic Colpitts circuit and a Chua’s circuit, connected by an additive white Gaussian noise (AWGN) channel, is studied via numeric simulations. The extended Kalman filter (EKF) is employed as the response system to achieve the dual synchronization. Two methods are proposed and investigated. The first method treats the combination of a Colpitts circuit and a Chua’s circuit as a higher- dimensional system, while the second method considers the Colpitts circuit and Chua’s circuit separately and utilizes the cross-coupling scheme. The simulation results indicate that the proposed methods can effectively achieve and maintain dual synchronization of the hybrid system through an AWGN channel.
LA - eng
KW - chaos; dual synchronization; Colpitts circuit; Chua’s circuit; EKF; chaos; dual synchronization; Colpitts circuit; Chua's circuit; EKF
UR - http://eudml.org/doc/33943
ER -

References

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  1. Cruz C., Nijmeijer H., Synchronization through filtering, Internat. J. Bifurcation and Chaos 10 (2000), 763–775 Zbl1090.37570MR1764539
  2. Chua L. O., Kocarev L., Eckert K., al., et, Experimental chaos synchronization in Chua’s circuit, Internat. J. Bifurcation and Chaos 2 (1992), 705–708 (1992) Zbl0875.94133MR2048021
  3. Leung H., Zhu Z. W., Performance evaluation of EKF-based chaotic synchronization, IEEE Trans. Circuits and Systems-I 48 (2001), 1118–1125 
  4. Liu Y., Davids P., Dual synchronization of chaos, Phys. Rev. E 61 (2000), 2176–2179 
  5. Pecora L. M., Carroll T. L., Synchronization in chaotic systems, Phys. Rev. Lett. 64 (1990), 821–824 (1990) Zbl0938.37019MR1038263
  6. Maggio G. M., Feo O. D., Kennedy M. P., Nonlinear analysis of the Colpitts oscillator and applications to design, IEEE Trans. Circuits and Systems-I 46 (1999), 1118–1130 (1999) Zbl0963.94053
  7. Rubezic V., Ostojic R., Synchronization of chaotic Colpitts oscillators with applications to binary communications, In: Proc. Internat. Conference Electronics, Circuits and Systems. Cyprus 1999, pp. 153–156 (1999) 
  8. Shahverdiev E. M., Sivaprakasam, S., Shore K. A., Dual and dual-cross synchronizations in chaotic systems, Opt. Commun. 216 (2003), 179–183 
  9. Shi Z. G., Ran L. X., Microwave chaotic Colpitts oscillator: design, implementation and applications, J. Electromagnetic Waves Appl. 20 (2006), 1335–1349 
  10. Shi Z. G., Ran L. X., Chen K. S., Multiplexing chaotic signals generated by Colpitts oscillator and Chua circuit using dual synchronization, Chinese Phys. Lett. 22 (2005), 1136–1139 
  11. Shi Z. G., Shan, Q., al. K. S. Chen et, Ambiguity funcations of direct chaotic radar employing chaotic Colpitts oscillator, Progr. Electromagnetics Res. 77 (2007), 1–14 
  12. Sobiski D. J., Thorp J. S., PDMA-1: Chaotic communication via the extended Kalman filter, IEEE Trans. Circuits and Systems-I 45 (1998), 194–197 (1998) 
  13. Tanizaki H., Nonlinear Filters: Estimation and Applications, Springer, Berlin 1996 Zbl0925.93917MR1422253
  14. Tsimring L. S., Sushchik M. M., Multiplexing chaotic signals using synchronization, Phys. Lett. A 213 (1996), 155–166 (1996) 
  15. Uchida A., Kawano, M., Yoshimori S., Dual synchronization of chaos in Colpitts electronic oscillators and its applications for communications, Phys. Rev. E 68 (2003), 056207 
  16. Yang T., Zhang, B., Shao H. H., Dual synchronization of chaotic systems with application to signal transformation, High Tech. Lett. 12 (2002), 22–26 

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