Weak signal detection method based on Duffing oscillator
Abstract
Purpose
The purpose of this paper is to detect the periodic signal under strong noise background, and estimate its amplitude/phase.
Design/methodology/approach
Melnikov method is adopted as calculating the threshold value when chaos occurs, and the detected signal is taken as a system parameter. The system's output state is changed if the parameter has a slight change near the threshold. Meantime, the phase of system's output is recognized to judge whether the output state changes, and the signal parameter is estimated according to the necessary condition.
Findings
A small periodic signal in noise can be detected by Duffing oscillator via a transition from chaotic motion to periodic motion.
Research limitations/implications
The paper shows how to calculate the amplitude/phase in low signal‐to‐noise ratios.
Practical implications
The Duffing system is sensitive to the weak periodic signal and has definite immunity to noise, so it is easy to construct a system composed of many oscillators that could process complex signals, even though the environmental noise is intense.
Originality/value
This paper presents a nonlinear method for detecting and extracting the weak signal.
Keywords
Citation
Wang, J., Zhou, J. and Peng, B. (2009), "Weak signal detection method based on Duffing oscillator", Kybernetes, Vol. 38 No. 10, pp. 1662-1668. https://doi.org/10.1108/03684920910994015
Publisher
:Emerald Group Publishing Limited
Copyright © 2009, Emerald Group Publishing Limited