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Weak characteristic signal detection based on scale transformation of Duffing oscillator

Lai Zhi-Hui Leng Yong-Gang Sun Jian-Qiao Fan Sheng-Bo

Weak characteristic signal detection based on scale transformation of Duffing oscillator

Lai Zhi-Hui, Leng Yong-Gang, Sun Jian-Qiao, Fan Sheng-Bo
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  • Received Date:  08 June 2011
  • Accepted Date:  13 July 2011
  • Published Online:  05 March 2012

Weak characteristic signal detection based on scale transformation of Duffing oscillator

  • 1. School of Mechanical Engineering, Tianjin University, Tianjin 200072, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 50975202).

Abstract: The chaos detection method based on Holmes Duffing equation is studied. Since this method is suitable only for the detection of a single signal frequency, the selection of the equation parameters is inconvenient, and the noise may affect the detection results, we propose a new method of detecting weak characteristic signals based on the scale transformation of Duffing oscillator. The numerical simulation shows that the proposed method can be used to detect harmonic signal with any frequency and phase by only a set of determined parameters.

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