Weak wide-band signal detection method based on small-scale periodic state of Duffing oscillator

doi:10.1088/1674-1056/27/3/030702

Abstract The conventional Duffing oscillator weak signal detection method, which is based on a strong reference signal, has inherent deficiencies. To address these issues, the characteristics of the Duffing oscillator's phase trajectory in a small-scale periodic state are analyzed by introducing the theory of stopping oscillation system. Based on this approach, a novel Duffing oscillator weak wide-band signal detection method is proposed. In this novel method, the reference signal is discarded, and the to-be-detected signal is directly used as a driving force. By calculating the cosine function of a phase space angle, a single Duffing oscillator can be used for weak wide-band signal detection instead of an array of uncoupled Duffing oscillators. Simulation results indicate that, compared with the conventional Duffing oscillator detection method, this approach performs better in frequency detection intervals, and reduces the signal-to-noise ratio detection threshold, while improving the real-time performance of the system.

Keywords: Duffing oscillator weak signal detection stopping oscillation system small-scale periodic state

Received: 16 August 2017
Revised: 04 December 2017
Accepted manuscript online:

PACS:	07.50.Qx	(Signal processing electronics)
	05.45.-a	(Nonlinear dynamics and chaos)
	43.60.Hj	(Time-frequency signal processing, wavelets)
	05.45.Jn	(High-dimensional chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61673066).

Corresponding Authors: Xiao-peng Yan
E-mail: yanxiaopeng@bit.edu.cn

Cite this article:

Jian Hou(侯健), Xiao-peng Yan(闫晓鹏), Ping Li(栗苹), Xin-hong Hao(郝新红) Weak wide-band signal detection method based on small-scale periodic state of Duffing oscillator 2018 Chin. Phys. B 27 030702

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Weak wide-band signal detection method based on small-scale periodic state of Duffing oscillator

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