Abstract
In this paper, synchronization of chaotic Colpitts circuits using a particle filter (PF) to combat the additive white Gaussian noise (AWGN) channel effect is studied by numeric simulations. A novel PF algorithm suitable for chaos synchronization is proposed. With this algorithm, chaos synchronization of Colpitts circuits can be achieved and maintained in AWGN channels. Parameters in the proposed PF algorithm are studied to understand their effects on synchronization performance. The synchronization performance using the proposed PF algorithm is compared with those using other digital filters, such as the extended Kalman filter and the generic PF. It is found that the proposed PF algorithm performs better than the other digital filters. Simulation results also show that the particle number is not very critical to the synchronization performance when this PF algorithm is used.
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M.S. Arulampalam, S. Maskell, N. Gordon, T. Clapp, A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking. IEEE Trans. Signal Process. 50(2), 174–187 (2002)
A. Baziliauskas, R. Krivickas, A. Tamaševičius, Coupled chaotic Colpitts oscillators: identical and mismatched cases. Nonlinear Dyn. 44, 151–158 (2006)
A. Baziliauskas, A. Tamaševičius, S. Bumelienė, E. Lindberg, Synchronization of chaotic Colpitts oscillators. Sci. Proc. Riga Tech. Univ. 1, 55–58 (2001)
C. Cruz, H. Nijmeijer, Synchronization through filtering. Int. J. Bifurc. Chaos 10(4), 763–775 (2000)
H.B. Fotsin, J. Daafouz, Adaptive synchronization of uncertain chaotic Colpitts oscillators based on parameter identification. Phys. Lett. A 339(3–5), 304–315 (2005)
N. Gordon, D. Salmond, Novel approach to nonlinear/non-Gaussian Bayesian state estimation. IEEE Proc. F 140(2), 107–113 (1993)
M.P. Kennedy, Chaos in the Colpitts oscillator. IEEE Trans. Circuits—I 41(11), 771–774 (1994)
A.P. Kurian, S. Puthusserypady, Performance analysis of nonlinear-predictive filter-based chaotic synchronization. IEEE Trans. Circuits—II 53(9), 886–890 (2006)
H. Leung, Z.-W. Zhu, Performance evaluation of EKF-based chaotic synchronization. IEEE Trans. Circuits—I 48(9), 1118–1125 (2001)
G.-H. Li, Chaos and synchronization of Colpitts oscillators. Microw. Opt. Techol. Lett. 39(6), 446–449 (2003)
G.M. Maggio, O.E. Feo, M.P. Kennedy, Nonlinear analysis of the Colpitts oscillator and applications to design. IEEE Trans. Circuits—I 46(9), 1118–1130 (1999)
L.M. Pecora, T.L. Carroll, Synchronization in chaotic systems. Phys. Rev. Lett. 64(8), 821–824 (1990)
B. Ristic, S. Arulampalam, N. Gordon, Beyond the Kalman Filter: Particle Filter for Tracking Applications (Artech House, Norwood, 2004)
V. Rubezic, B. Lutovac, R. Ostojic, Linear generalized synchronization of two chaotic Colpitts oscillators. Proc. ICECS 1, 223–225 (2002)
V. Rubezic, R. Ostojic, Synchronization of chaotic Colpitts oscillators with applications to binary communications. Proc. ICECS 1, 153–156 (1999)
C. Shen, Z.-G. Shi, L.-X. Ran, Adaptive synchronization of chaotic Colpitts circuits against parameter mismatches and channel distortions. J. Zhejiang Univ. Sci. A 2(S-II), 228–236 (2006)
Z.-G. Shi, J.-T. Huangfu, L.X. Ran, Performance comparison of two synchronization schemes for Colpitts circuit based chaotic communication system over noisy channel. 5th WCICA 6, 1276–1279 (2004)
Z.-G. Shi, L.X. Ran, Microwave chaotic Colpitts oscillator: design, implementation and applications. J. Electromagn. Wave 20(10), 1335–1349 (2006)
Z.-G. Shi, L.-X. Ran, K.-S. Chen, Error feedback synchronization of chaotic Colpitts circuit, in IEEE 46th MWSCAS (2003), pp. 225–228
Z.-G. Shi, L.-X. Ran, K.-S. Chen, Multiplexing chaotic signals generated by Colpitts oscillator and Chua circuit using dual synchronization. Chin. Phys. Lett. 22(6), 1136–1139 (2005)
D.J. Sobiski, J.S. Thorp, PDMA-1: Chaotic communication via the extended Kalman filter. IEEE Trans. Circuits—I 45(2), 194–197 (1998)
A. Uchida, M. Kawano, S. Yoshimori, Dual synchronization of chaos in Colpitts electronic oscillators and its applications for communications. Phys. Rev. E 68(5), 056207 (2003)
A. Uchida, K. Takahashi, M. Kawano, S. Yoshimori, Synchronization of chaos in one-way coupled Colpitts oscillator. IEICE Trans. Fundam. E 85(A9), 2072–2077 (2002)
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Shi, ZG., Hong, SH., Chen, JM. et al. Particle Filter-Based Synchronization of Chaotic Colpitts Circuits Combating AWGN Channel Distortion. Circuits Syst Signal Process 27, 833–845 (2008). https://doi.org/10.1007/s00034-008-9062-7
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DOI: https://doi.org/10.1007/s00034-008-9062-7