| 一种非正交复小波核函数及其非线性参数辨识应用 |
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| 引用本文： | 蒋刚,肖建,宋昌林,郑永康.一种非正交复小波核函数及其非线性参数辨识应用[J].系统仿真学报,2006,18(9):2550-2554. |
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| 作者姓名： | 蒋刚 肖建 宋昌林 郑永康 |
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| 作者单位： | 1. 西南科技大学制造科学与工程学院,四川,绵阳,621010;西南交通大学电气工程学院,四川,成都,610031
2. 西南交通大学电气工程学院,四川,成都,610031 |
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| 基金项目： | 国家自然科学基金;教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | 指出了非线性动态信号参数辨识的重要性;分析了目前采用的方法的不足;对非正交复Morlet小波满足Mercy条件和再生性的命题作了证明;用复Morlet小波构建出一种核函数,与主分量分析方法相结合,对非线性动态信号进行参数辨识和预测;仿真结果验证了该方法的正确性和有效性,表明该方法具有较好的理论价值和实用价值。
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| 关 键 词： | 非正交复Morlet小波 主分量分析 核函数方法 非线性动态信号 参数辨识 |
| 文章编号： | 1004-731X（2006）09-2550-05 |
| 收稿时间： | 2005-06-25 |
| 修稿时间： | 2005-08-19 |
A Kind of Non-orthogonal Complex Wavelet Kernel Function and Its Application in Nonlinear System Parameters Identification |
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| JIANG Gang,XIAO Jian,SONG Chang-lin,ZHENG Yong-kang.A Kind of Non-orthogonal Complex Wavelet Kernel Function and Its Application in Nonlinear System Parameters Identification[J].Journal of System Simulation,2006,18(9):2550-2554. |
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| Authors: | JIANG Gang XIAO Jian SONG Chang-lin ZHENG Yong-kang |
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| Institution: | 1. School of Manufacturing Science and Engineering, Southwest University of Science and Technology, Mianyang, Sichuan 621010, China; 2.School of Electric Eng., Southwest Jiaotong University, Chengdu, Sichuan 610031, China |
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| Abstract: | The important value of non-linear dynamical signal parameters identificaton was pointed. The shortcomings of current methods were analyzed. It was provedthat non-orthogonal complex Morlet wavelet could satisfy Mercy Condition and have reproduction character in Hilbert Space. A kind of special kernel function was built, which was named Non-orthogonal Complex Morlet Wavelet Kernel Function, combined with Principal Component Analysis (PCA), and identified parameters and forcasted future information of non-linear dynamic signal. Contrast experiment results show that this kind of kernel function seems to be the most promising one and has some more applied value in this area. |
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| Keywords: | Non-orthogonal Complex Morlet Wavelet Principal Component Analysis (PCA) Kernel Function Method Nonlinear Dynamical Signal Parameter Identification |
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