Weak Signal Detection with Duffing Oscillator Based on Circular Boundary Counting Method and STFT State Identification Parameter

DOI

10.2991/eee-19.2019.26How to use a DOI?

Keywords

Weak signal detection, Duffing oscillator, Circular boundary counting method, State identification, Determining critical value

Abstract

To solve the problem of quantitative identification of the state of Duffing oscillator and determination of the critical threshold of reference amplitude, a combined weak signal detection method is proposed in this paper. The STFT statistical characteristics of Duffing oscillator in chaotic state, intermittent state and large-scale periodic state is analyzed and based on it the state identification parameter is selected to quantitatively present the state of Duffing oscillator. The step change of the number of the phase points on the boundary of circular regions in the phase plane is shown and the circular boundary counting method is proposed to determine the critical threshold. Based on above research, the algorithm of the combined weak signal detection is given, which uses Runge-Kutta algorithm to calculate the Duffing system. Simulation results show that this combined method is not only accurate at low SNR, but also robust when noise condition is variable.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Zhi-qiang Zhu
AU  - Rui-li Jia
AU  - Xiao-peng Yan
AU  - Ke Wang
AU  - Jian Hou
PY  - 2019/07
DA  - 2019/07
TI  - Weak Signal Detection with Duffing Oscillator Based on Circular Boundary Counting Method and STFT State Identification Parameter
BT  - Proceedings of the 2nd International Conference on Electrical and Electronic Engineering (EEE 2019)
PB  - Atlantis Press
SP  - 152
EP  - 157
SN  - 2352-5401
UR  - https://doi.org/10.2991/eee-19.2019.26
DO  - 10.2991/eee-19.2019.26
ID  - Zhu2019/07
ER  -