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基于混沌和随机共振的微弱信号检测

高仕龙 钟苏川 韦鹍 马洪

物理学报2012,Vol.61Issue(18):45-51,7.
物理学报2012,Vol.61Issue(18):45-51,7.

基于混沌和随机共振的微弱信号检测

Weak signal detection based on chaos and stochastic resonance

高仕龙 1钟苏川 2韦鹍 3马洪3

作者信息

  • 1. 乐山师范学院数学与信息科学学院.乐山614000 四川大学数学学院,成都610064
  • 2. 四川大学数学学院,成都610064
  • 3. 乐山师范学院数学与信息科学学院.乐山614000
  • 折叠

摘要

Abstract

The frequency invariance and phase shift of the first-order steady state moment of system response are deduced for fractional order linear oscillator. Moreover, through the theoretical analysis, the amplification effect of fractional order linear system on the amplitude of first-order steady state moment is verified in stochastic resonance mechanism. Duffing detector is used to realize weak signal detection based on parameter perturbation sensitivity and noise immunity of chaos. Numerical simulations show that this scheme can effectively extract the weak sinusoidal signal from the strong colored noise background and significantly reduce the signal-to-noise ratio threshold in comparison with traditional chaotic detection method.

关键词

弱信号检测/随机共振/混沌/分数阶

Key words

weak signal detection/stochastic resonance/chaos/fractional order

分类

数理科学

引用本文复制引用

高仕龙,钟苏川,韦鹍,马洪..基于混沌和随机共振的微弱信号检测[J].物理学报,2012,61(18):45-51,7.

基金项目

国家自然科学基金支持项目(批准号:11171238)和中国博士后科学基金(批准号:201104693)资助的课题. ()

物理学报

OA北大核心CSCDCSTPCD

1000-3290

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