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改进的Duffing振子逆相变弱信号检测

冀常鹏 许素娜 冀雯靖

数据采集与处理2019,Vol.34Issue(2):223-233,11.
数据采集与处理2019,Vol.34Issue(2):223-233,11.DOI:10.16337/j.1004-9037.2019.02.004

改进的Duffing振子逆相变弱信号检测

Improved Weak Signal Detection for Inverse Phase Transition of Duffing Oscillator

冀常鹏 1许素娜 2冀雯靖3

作者信息

  • 1. 辽宁工程技术大学电子与信息工程学院,葫芦岛,125105
  • 2. 辽宁省露天矿山装备工程研究技术中心,阜新,123009
  • 3. 辽宁工程技术大学研究生院,葫芦岛,125105
  • 折叠

摘要

Abstract

In order to solve the problems that the traditional chaotic detection system is easily affected by the transition zone and the detection system is affected by the noise, an inverse phase transition chaos detection method based on high-order cumulants and Duffing oscillator is proposed. Firstly, the Lyapunov index method is used to calculate the critical threshold γd of the detection system, so that the the periodic driving force of the detection system is equal to γd. Secondly, the signal to be detected is preprocessed by calculating its high-order cumulant, which can reduce the noise power and obtain the amplitude variation of the harmonic signal. Then, the processed signal to be detected is input to the detection system, and the Lyapunov index is used to get the periodic driving force amplitudes corresponding to the reverse phase change. Finally, the amplitude of the signal to be detected and the detected signal-to-noise ratio are calculated according to the difference of the amplitude of the periodic driving force before and after the inverse phase transition. Simulation results show that the proposed method can be used for the detection of weak sinusoidal signals with a signal-to-noise ratio of-50.97 dB, which has a better detection effect than the traditional Duffing oscillator detection system.

关键词

信号处理/Duffing振子/微弱正弦信号/高斯白噪声/逆相变/Lyapunov特性指数

Key words

signal processing/Duffing oscillator/weak sinusoidal signal/Gaussian white noise/reverse phase change/Lyapunov characteristic index

分类

信息技术与安全科学

引用本文复制引用

冀常鹏,许素娜,冀雯靖..改进的Duffing振子逆相变弱信号检测[J].数据采集与处理,2019,34(2):223-233,11.

数据采集与处理

OA北大核心CSCDCSTPCD

1004-9037

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