Variable-Scale Duffing Oscillator Method for Weak Signal Detection

doi:10.3969/j.issn.0372-2112.2020.04.015

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Variable-Scale Duffing Oscillator Method for Weak Signal Detection

更新时间：2025-07-08

- Variable-Scale Duffing Oscillator Method for Weak Signal Detection
- Acta Electronica Sinica Vol. 48, Issue 4, Pages: 734-742(2020)
- 作者机构：
  
  1. 南京信息工程大学气象灾害预报预警与评估协同创新中心,江苏,南京,210044
  2. 南京信息工程大学, 江苏省气象探测与信息处理重点实验室,江苏,南京,210044
  3. 南京信息工程大学气象灾害预报预警与评估协同创新中心,江苏,南京,210044
  4. 南京信息工程大学江苏省气象探测与信息处理重点实验室,江苏,南京,210044
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0372-2112.2020.04.015
  CLC： TM93
- Published Online：25 April 2020，
  
  Published：2020
- 稿件说明：
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Variable-Scale Duffing Oscillator Method for Weak Signal Detection[J]. Acta Electronica Sinica, 2020, 48(4): 734-742.
DOI：

Variable-Scale Duffing Oscillator Method for Weak Signal Detection[J]. Acta Electronica Sinica, 2020, 48(4): 734-742. DOI： 10.3969/j.issn.0372-2112.2020.04.015.

摘要

针对强噪声背景下微弱信号检测问题，本文把互补集总经验模式分解（CEEMD）方法和变尺度Duffing振子结合，提出了一种新的微弱信号检测方法.利用CEEMD将复杂含噪信号分解为不同的固有模态函数（IMF），通过Duffing系统分岔图及其变化找到相轨迹变化的临界阈值，实现含噪信号的信息检测.结果表明，本文所提方法不仅可以很好地免疫噪声，而且能有效检测出信噪比低至-73dB的多频率周期信号.

Abstract

Aiming at the weak signal detection problem under strong noise background

the weak signal detection principle based on Duffing oscillator is analyzed. Combining the complementary ensemble empirical mode decomposition (CEEMD) method with the variable-scale Duffing oscillator

a new weak signal detection method is proposed. The complex noisy signal is decomposed into different intrinsic mode functions (IMF) by using CEEMD. Through the Duffing system bifurcation diagram and its changes

the critical threshold of the phase trajectory change is found

and the information detection of the noisy signal is realized. The results show that the joint detection method can not only immune noise well

but also effectively detect multi-frequency periodic signals with signal-to-noise ratio as low as -73dB.

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