A new method for detecting line spectrum of ship-radiated noise using duffing oscillator

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• 作者：SiYi Zheng (1)
  HongXia Guo (2)
  YaAn Li (3)
  BingHe Wang (1)
  PengYi Zhang (1)
  
• 关键词：Duffing oscillator ; Lyapunov exponents ; criteria for chaos ; ship ; radiated noise ; line spectrum
• 刊名：Chinese Science Bulletin
• 出版年：2007
• 出版时间：July 2007
• 年：2007
• 卷：52
• 期：14
• 页码：1906-1912
• 全文大小：3092KB
• 参考文献：1. Zhu X Q, Wu W S. Prediction of line-spectrum noise induced by high speed vehicle contra-rotating propellers in water. J Ship Mech, 1997, 1(1): 44鈥?6
  2. Lourens J G. Classification of ships using underwater radiated noise. In: Proceedings of IEEE Communications and Signal Processing. Pretoria: IEEE Press, 1988. 130鈥?34
  3. Vaccaro R J. The past present and future of underwater acoustic signal processing. IEEE Signal Proc Mag, 1998, 15(4): 21鈥?1 CrossRef
  4. Mo X H, Tang G N. Study on phase synchronization of chaotic oscillators with many rotational centers based on amplitude coupling. Acta Phys Sin, 2004, 53(7): 2080鈥?083
  5. Gao X, Yu J B. Chaos in the fractional order periodically forced complex Duffing鈥檚 oscillators. Chaos Soliton Fract, 2005, 24: 1097鈥?104 CrossRef
  6. Li Y, Yang B J, Yuan Y. Ability of detecting a weak effective seismic signal by using chaotic oscillator system. Chin Sci Bull, 2006, 51(24): 3010鈥?017 CrossRef
  7. Li Y, Yang B J. Chaotic system for the detection of periodic signals under the background of strong noise. Chin Sci Bull, 2003, 48(5): 508鈥?10 CrossRef
  8. Liu Z R. Perturbation Criteria for Chaos. Shanghai: Shanghai Scientific and Technology Education Press, 1994. 36鈥?8
  9. Wang G Y, He S L. A quantitative study on detection and estimation of weak signals by using chaotic duffing oscillators. IEEE Trans Circuits Syst, 2003, 50(7): 945鈥?53 CrossRef
  10. Wolf A, Swift J B, Swinney H L, et al. Determining Lyapunov exponents from a time series. Physica, 1985, 16: 285鈥?17
  11. Ciraolo G, Chandre C, Lima R. Controlling chaotic transport in a Hamiltonian model of interest to magnetized plasmas. J Phys A Math Gen, 2004, 37: 3589鈥?597 CrossRef
  12. Michael T R, James J C, Carlo J D. A practical method for calculating largest Lyapunov exponents from small data sets. Physica D, 1993, 65(1鈥?): 117鈥?34
  
• 作者单位：SiYi Zheng (1)
  HongXia Guo (2)
  YaAn Li (3)
  BingHe Wang (1)
  PengYi Zhang (1)
  
  1. Department of Communication Engineering, Engineering College of the Chinese People鈥檚 Armed Police Force, Xi鈥檃n, 710086, China
  2. Department of Basic Science, Engineering College of the Chinese People鈥檚 Armed Police Force, Xi鈥檃n, 710086, China
  3. College of Marine Engineering, Northwestern Polytechnic University, Xi鈥檃n, 710072, China
  
• ISSN：1861-9541

文摘

A detection scheme for line spectrum of ship-radiated noise is proposed using Duffing oscillator. The chaotic trajectory of Duffing oscillator is analyzed and the state equation of the system is improved to detect weak periodic signals in different frequencies. According to the simulation results, the phase transforms of Duffing oscillator are sensitive to periodic signals and immune to the random noise and the periodic interference signals which have larger angular frequency difference from the referential signal. By employing Lyapunov exponents in the field of detection as the criteria for chaos, the phase transforms of dynamic behaviors in quantity are successfully determined. Meanwhile, the threshold value in critical state has been evaluated more accurately. Based on the phase transforms of Duffing oscillator, a new method for detecting line spectrum of ship-radiated noise is given. Three types of ship-radiated noise signals are analyzed and the values of line spectrum are acquired successfully by this method. The experimental results show that this method has high sensitivity and high resolution.