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| Multitone stimulus signal design for identifying volterra frequency domain kernels |
| HAN Hai-tao1,MA Hong-guang1,HAN Kun2,ZHENG Geng-le3 |
1.Staff Room 101 of The Second Artillery Engineering College, Xi′an 710025, China;
2.No.203 Research Institute of China Armament Industry， Xi′an 710065, China;
3.The Second Artillery Sergeant School, Qingzhou 262500, China |
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Abstract To solve the design problem of identifying the multitone excitation signal for nonlinear system, a design method was proposed for the multitone signal. Firstly, the frequency-domain output characteristics of Volterra series excited by the multitone signal were investigated. Then a comprehensive searching technique was adopted to search the best frequency components, which made the output frequency components of each kernel of the nonlinear system excited by the designed multitone signal don't overlap. Thereby, the conditions for a nonlinear system to be identified were met. With the stimulus signal produced by the proposed method, the top three orders of Volterra frequency-domain kernels can be identified for a target nonlinear circuit. The effectiveness of the proposed method is validated via the simulation test.
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Published: 15 April 2012
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关于Volterra频域核辨识的多音激励信号设计
为解决非线性系统辨识多音激励信号的设计问题,提出了一种多音激励信号的设计方法.该方法首先研究了多音激励下Volterra核的频域输出特性,推导出了前3阶Volterra核的频域输出的计算公式,进而采用全局搜索法搜索最优频率分量,使非线性系统在多音信号激励下,各阶核的频域输出分量互不重合,从而达到系统可辨识的条件.对一非线性电路,采用所设计的激励信号,可辨识出该电路的前3阶Volterra频域核,验证了该方法的有效性.
关键词：
Volterra,
系统辨识,
GFRF,
故障诊断,
激励信号设计
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