电子学报2012，Vol.40Issue(6)：1269-1273,5.DOI:10.3969/j.issn.0372-2112.2012.06.034
联合增益递推的Duffing系统弱信号检测算法
A Weak Signal Detection Method by Duffing System with the Gain
摘要
Abstract
The identification of phase transition plays an important part on the detection of the weak signal by Duffing oscillator. Traditional identification algorithm has the complicated calculation and the low precision, which confine the applications of Duffing oscillator, so it's necessary to seek a better identification algorithm. In the paper the state equation of Duffing using sine function as the driving force is set up by the Euler-maruyama algorithm. In the filtering process of Duffing with extended Kalman filter, the recursion expression of Kalman gain is derivated, then a new method associated with the gain to identify the phase transition of Duffing is offered,and meanwhile,according to the transition of Kalman gain with the amplitude of signals, the method of weak- signal detection with the joint system is offered. The simulation shows that the method can effectively detect the weak signals. Compared with the Lyapunov identification method, the simulation time of the new algorithm falls two orders of magnitude, and the precision of the calculation improves remarkably.关键词
Duffing振子/扩展卡尔曼滤波/正弦摄动力/相变判别Key words
Duffing oscillator/extended Kalman filter/ sine perturbation/ identification of phase transition分类
信息技术与安全科学引用本文复制引用
芮国胜,张洋,苗俊,张嵩,史特..联合增益递推的Duffing系统弱信号检测算法[J].电子学报,2012,40(6):1269-1273,5.基金项目
泰山学者建设专项基金 （）
