The chaotic self-FM system and its FM code coupled synchronization

Hu Wen; Li Jun-Ping; Zhang Gong; Liu Wen-Bo; Zhao Guang-Hao

doi:10.7498/aps.61.010504

Abstract

We proposed a new chaotic system using the closed loop self-feedback frequency modulation (FM) technique where the current sample of the output signal of voltage-controlled oscillator (VCO) is transformed and used as the next input of VCO. The dynamical behavior of the system is investigated by Bifurcation diagram and Lyapunov exponents. The performance of the system is analyzed in terms of peak to average power ratio (PAPR), frequency spectrum and the correlation function of the output signal. The results show that the developed system has complicated dynamical behaviors, including bifurcation, multi-stability and chaos, and the generated chaotic signals have low PAPR and wide bandwidth. We also discussed the synchronization of the system by FM code. In circuit experiments, VCO is implemented by digital frequency synthesis. The experimental results are consistent with our theoretical analysis.

Keywords:

Authors and contacts

1.
College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
2.
Nanjing Changjiang Electronics Group CO., LTD, Nanjing 210037, China;
3.
College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61071163, 61001151), the Nanjing University of Aeronautics and Astronautics, Scientific Research Fund, the Nanjing University of Aeronautics and Astronautics, Research Funding (Grant No. NS2010096, 61001151), and the Aeronautical Science Foundations of China (Grant Nos. 2009ZC52038, 2008ZC52026).

References

[1]	Ji Y, Lawrance A J 2006 IEEE Trans. Circ. Syst. I 53 2075
[2]	Pizolato, J C, Pomero M A, Goncalves N L 2008 IEEE Trans. Circ. Syst. I 55 1108
[3]	Nan X, Leung H 2005 IEEE Trans. Circ. Syst. I 52 1953
[4]	Yang H, Jiang G P 2008 IEEE Trans. Circ. Syst. I 55 364
[5]	Yu S, Lu J, Leung H, Chen G R 2005 IEEE Trans. Circ. Syst. I 52 1459
[6]	Hu W, Liu Z, Li C B 2008 IEEE Trans. Aeros. Electron. Sys. 44 367
[7]	Liu Z, Zhu X H, Hu W 2007 Int. J. Bifur. Chaos 17 1735
[8]	Kolumban G, Kennedy M P, Chua L O 1998 IEEE Trans. Circ. Syst. I 45 11
[9]	Pecora L M 1990 Phys. Rev. Lett. 64 821
[10]	Jiang F, Liu Z, Hu W, Bao B C 2010 Acta Phys. Sin. 59 116 (in Chinese) [蒋飞 , 刘中, 胡文, 包伯成 2010 59 116]
[11]	Flores B C, Solis E, Thomas G 2003 IEEE Proc. Radar Sonar Naving. 150 3
[12]	Ashtari A, Thomas G, Kinsner W, Flores B C 2008 IEEE Trans. Aeros. Electron. Syst. 44 1240
[13]	Wang H B,Wu L X 2004 Acta Acust. 2 161 (in Chinese) [王海斌, 吴立新 2004 声学学报 2 161]
[14]	Volkovskii A R, Tsimring L S, Rulkov N F, Langmore I 2005 Chaos 15 033101
[15]	Filiol N M, Plett C, Riley T, Copeland M A 1998 IEEE Trans. Circ. Syst. II 45 3
[16]	Kennedy M P 1994 IEEE Trans. Circ. Syst. 41 771
[17]	Xu J, Long K P, Fournier P D, Abdel K, Charge P 2010 Chin. Phys. Lett. 27 020504
[18]	Zhang X F, Fan J L 2010 Acta Phys. Sin. 59 2298 (in Chinese) [张雪峰, 范九伦 2010 59 2298]
[19]	Bao B C, Kang Z S, Xu J P, Hu W 2009 Acta Phys. Sin. 58 1420 (in Chinese) [包伯成, 康祝圣, 许建平, 胡文 2009 58 1420]

Cited By

[1]	Ji Y, Lawrance A J 2006 IEEE Trans. Circ. Syst. I 53 2075
[2]	Pizolato, J C, Pomero M A, Goncalves N L 2008 IEEE Trans. Circ. Syst. I 55 1108
[3]	Nan X, Leung H 2005 IEEE Trans. Circ. Syst. I 52 1953
[4]	Yang H, Jiang G P 2008 IEEE Trans. Circ. Syst. I 55 364
[5]	Yu S, Lu J, Leung H, Chen G R 2005 IEEE Trans. Circ. Syst. I 52 1459
[6]	Hu W, Liu Z, Li C B 2008 IEEE Trans. Aeros. Electron. Sys. 44 367
[7]	Liu Z, Zhu X H, Hu W 2007 Int. J. Bifur. Chaos 17 1735
[8]	Kolumban G, Kennedy M P, Chua L O 1998 IEEE Trans. Circ. Syst. I 45 11
[9]	Pecora L M 1990 Phys. Rev. Lett. 64 821
[10]	Jiang F, Liu Z, Hu W, Bao B C 2010 Acta Phys. Sin. 59 116 (in Chinese) [蒋飞 , 刘中, 胡文, 包伯成 2010 59 116]
[11]	Flores B C, Solis E, Thomas G 2003 IEEE Proc. Radar Sonar Naving. 150 3
[12]	Ashtari A, Thomas G, Kinsner W, Flores B C 2008 IEEE Trans. Aeros. Electron. Syst. 44 1240
[13]	Wang H B,Wu L X 2004 Acta Acust. 2 161 (in Chinese) [王海斌, 吴立新 2004 声学学报 2 161]
[14]	Volkovskii A R, Tsimring L S, Rulkov N F, Langmore I 2005 Chaos 15 033101
[15]	Filiol N M, Plett C, Riley T, Copeland M A 1998 IEEE Trans. Circ. Syst. II 45 3
[16]	Kennedy M P 1994 IEEE Trans. Circ. Syst. 41 771
[17]	Xu J, Long K P, Fournier P D, Abdel K, Charge P 2010 Chin. Phys. Lett. 27 020504
[18]	Zhang X F, Fan J L 2010 Acta Phys. Sin. 59 2298 (in Chinese) [张雪峰, 范九伦 2010 59 2298]
[19]	Bao B C, Kang Z S, Xu J P, Hu W 2009 Acta Phys. Sin. 58 1420 (in Chinese) [包伯成, 康祝圣, 许建平, 胡文 2009 58 1420]

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Catalog

Vol. 61, Issue 1 - 2012-01-05

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