中南大学学报（自然科学版）2017，Vol.48Issue(3)：721-728,8.DOI:10.11817/j.issn.1672-7207.2017.03.021
待测信号线性驱动Duffing振子弱信号检测系统
Weak signal detection system based on Duffing oscillator with linear driven by to-be-detected signal
摘要
Abstract
Considering that the weak signal detection methods based on Duffing oscillator with periodic driving force signal have the defects that the detection accuracy can be affected by the critical threshold and the frequency resolution is not high enough, a new weak signal detection method was presented based on Duffing oscillator, which was driven by the linear perturbation of the to-be-detected signal. In the method, the small change of the linear perturbation parameters could cause the output change, and then this characteristic could be used to detect the weak signals submerged in the background noise. Meanwhile, based on the Melnikov function and the maximum of Lyapunov exponent, the feasibility of the detection system was analyzed. The results show that the method can greatly improve the frequency resolution of weak signal, and the precision of the frequency achieves 10-4. It can also enhance the noise immunity ability and eliminate the effect of critical threshold on the precision of the system.关键词
Duffing振子/混沌/微弱信号检测/频率Key words
Duffing oscillator/chaos/weak signal detection/frequency分类
信息技术与安全科学引用本文复制引用
卢明,马松山,丁家峰,黄伟,袁洪..待测信号线性驱动Duffing振子弱信号检测系统[J].中南大学学报（自然科学版）,2017,48(3):721-728,8.基金项目
国家自然科学基金资助项目(61172047, 11204263) （61172047, 11204263）
湖南省科研条件创新专项(2011TT1009) (Projects(6172047, 11204263) supported by the National Natural Science Foundation of China （2011TT1009）
Project(2011TT1009) supported by the Special Funds of Scientific Research Innovation of Hunan Province) （2011TT1009）
