中国物理B ›› 2018, Vol. 27 ›› Issue (3): 30702-030702.doi: 10.1088/1674-1056/27/3/030702

• GENERAL • 上一篇    下一篇

Weak wide-band signal detection method based on small-scale periodic state of Duffing oscillator

Jian Hou(侯健), Xiao-peng Yan(闫晓鹏), Ping Li(栗苹), Xin-hong Hao(郝新红)   

  1. Science and Technology on Electromechanical Dynamic Control Laboratory, School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:2017-08-16 修回日期:2017-12-04 出版日期:2018-03-05 发布日期:2018-03-05
  • 通讯作者: Xiao-peng Yan E-mail:yanxiaopeng@bit.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 61673066).

Weak wide-band signal detection method based on small-scale periodic state of Duffing oscillator

Jian Hou(侯健), Xiao-peng Yan(闫晓鹏), Ping Li(栗苹), Xin-hong Hao(郝新红)   

  1. Science and Technology on Electromechanical Dynamic Control Laboratory, School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China
  • Received:2017-08-16 Revised:2017-12-04 Online:2018-03-05 Published:2018-03-05
  • Contact: Xiao-peng Yan E-mail:yanxiaopeng@bit.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 61673066).

摘要: The conventional Duffing oscillator weak signal detection method, which is based on a strong reference signal, has inherent deficiencies. To address these issues, the characteristics of the Duffing oscillator's phase trajectory in a small-scale periodic state are analyzed by introducing the theory of stopping oscillation system. Based on this approach, a novel Duffing oscillator weak wide-band signal detection method is proposed. In this novel method, the reference signal is discarded, and the to-be-detected signal is directly used as a driving force. By calculating the cosine function of a phase space angle, a single Duffing oscillator can be used for weak wide-band signal detection instead of an array of uncoupled Duffing oscillators. Simulation results indicate that, compared with the conventional Duffing oscillator detection method, this approach performs better in frequency detection intervals, and reduces the signal-to-noise ratio detection threshold, while improving the real-time performance of the system.

关键词: Duffing oscillator, weak signal detection, stopping oscillation system, small-scale periodic state

Abstract: The conventional Duffing oscillator weak signal detection method, which is based on a strong reference signal, has inherent deficiencies. To address these issues, the characteristics of the Duffing oscillator's phase trajectory in a small-scale periodic state are analyzed by introducing the theory of stopping oscillation system. Based on this approach, a novel Duffing oscillator weak wide-band signal detection method is proposed. In this novel method, the reference signal is discarded, and the to-be-detected signal is directly used as a driving force. By calculating the cosine function of a phase space angle, a single Duffing oscillator can be used for weak wide-band signal detection instead of an array of uncoupled Duffing oscillators. Simulation results indicate that, compared with the conventional Duffing oscillator detection method, this approach performs better in frequency detection intervals, and reduces the signal-to-noise ratio detection threshold, while improving the real-time performance of the system.

Key words: Duffing oscillator, weak signal detection, stopping oscillation system, small-scale periodic state

中图分类号:  (Signal processing electronics)

  • 07.50.Qx
05.45.-a (Nonlinear dynamics and chaos) 43.60.Hj (Time-frequency signal processing, wavelets) 05.45.Jn (High-dimensional chaos)