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电子学报  2012 

联合增益递推的Duffing系统弱信号检测算法

DOI: 10.3969/j.issn.0372-2112.2012.06.034, PP. 1269-1273

Keywords: Duffing振子,扩展卡尔曼滤波,正弦摄动力,相变判别

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Abstract:

相变判别在Duffing振子弱信号检测中具有至关重要的作用,传统的判别算法复杂度高而精度低,限制了Duffing振子的应用,因而需要寻求更优的判别算法.本文通过欧拉方程建立正弦策动力Duffing振子的状态方程,并对Duffing系统进行滤波估计,推导出系统扩展卡尔曼增益的递推表达形式,以此为据提出了一种联合卡尔曼增益递推方程判别Duffing系统状态的新方法,同时根据增益随信号幅度变化的规律,提出了运用联合系统对弱信号进行定性和定量检测的方法,仿真验证表明,该方法可有效地对弱信号进行检测,相比传统Lyapunov指数判别法,运算耗时降低了两个数量级,且运算精度得到了显著提高.

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