2007Dianzi qijianRequires access

Chaos-Based Weak Signal Detection Approach via Duffing Oscillator

Peng Bing

Open publisher page 4 citations

Abstract

The chaotic character of Duffing oscillator is analyzed,and the Melnikov method of determining chaotic threshold of Duffing oscillators is discussed.The principle of weak signal detection based on the change of phase trace is described,and the influence of noise to the system status in the chaos detection process is also studied.Simulation experiments show that the oscillator is sensitive to the small signal having the tiny frequency difference with the referential signal and immune against the random noise and interference signal having larger frequency difference with the referential signal.The application of the oscillator to weak signal detection is feasible.

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What this paper is about

The chaotic character of Duffing oscillator is analyzed,and the Melnikov method of determining chaotic threshold of Duffing oscillators is discussed.The principle of weak signal detection based on the change of phase trace is described,and the influence of noise to the system status in the chaos detection process is also studied.Simulation experiments show that the oscillator is sensitive to the small signal having the tiny frequency difference with the referential signal and immune against the random noise and interference signal having larger frequency difference with the referential signal.The application of the oscillator to weak signal detection is feasible.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The chaotic character of Duffing oscillator is analyzed,and the Melnikov method of determining chaotic threshold of Duffing oscillators is discussed.The principle of weak signal detection based on the change of phase trace is described,and the influence of noise to the system status in the chaos detection process is also studied.Simulation experiments show that the oscillator is sensitive to the small signal having the tiny frequency difference with the referential signal and immune against the random noise and interference signal having larger frequency difference with the referential signal.The application of the oscillator to weak signal detection is feasible.

Key concepts: Duffing equation, SIGNAL (programming language), Chaotic, Stochastic resonance, Noise (video), Control theory (sociology), Signal transfer function, Detection theory

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