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基于Duffing振子的变尺度微弱特征信号检测方法研究

赖志慧 冷永刚 孙建桥 范胜波

物理学报2012,Vol.61Issue(5):60-68,9.
物理学报2012,Vol.61Issue(5):60-68,9.

基于Duffing振子的变尺度微弱特征信号检测方法研究

Weak characteristic signal detection based on scale transformation of Duffing oscillator

赖志慧 1冷永刚 1孙建桥 1范胜波1

作者信息

  • 1. 天津大学机械工程学院,天津300072
  • 折叠

摘要

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.

关键词

Duffing振子/微弱特征信号/Gauss白噪声/变尺度

Key words

Duffing oscillator/weak characteristic signal/Gaussian white noise/scale transformation

分类

数理科学

引用本文复制引用

赖志慧,冷永刚,孙建桥,范胜波..基于Duffing振子的变尺度微弱特征信号检测方法研究[J].物理学报,2012,61(5):60-68,9.

基金项目

国家自然科学基金(批准号:50975202)资助的课题. ()

物理学报

OA北大核心CSCDCSTPCDSCI

1000-3290

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