| 基于多分辨率分析的模糊系统逼近能力分析 |
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| 引用本文： | 王辉,肖建.基于多分辨率分析的模糊系统逼近能力分析[J].西南交通大学学报,2004,39(1):126-130. |
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| 作者姓名： | 王辉 肖建 |
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| 作者单位： | 西南交通大学电气工程学院,四川,成都,610031 |
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| 摘 要： | 根据多分辨率分析理论，利用B-样条函数作为尺度函数具有的紧支撑性和多分辨率逼近性，从时频域局域化角度构造出基于多分辨率分析的模糊系统．从理论上分析了基于多分辨率分析的模糊系统的函数逼近能力。结果表明，多分辨率模糊系统构造的函数集在赋范空间L^P(E)中是稠密的，即具有函数逼近能力．
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| 关 键 词： | 多分辨率分析 IT-S模糊系统 尺度函数 函数逼近 B-样条函数 |
| 文章编号： | 0258-2724(2004)01-0126-05 |
Approximation Capability of Fuzzy System Based on Multi-resolution Analysis |
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| WANG Hui,XIAO Jian.Approximation Capability of Fuzzy System Based on Multi-resolution Analysis[J].Journal of Southwest Jiaotong University,2004,39(1):126-130. |
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| Authors: | WANG Hui XIAO Jian |
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| Abstract: | A novel T-S fuzzy system based on multi-resolution analysis was presented. The system was constructed based on multi-resolution analysis theory and localization in time-frequency domains. B-spline functions were taken as scale functions to make use of their compact supporting and multi-resolution characteristics. The approximation property of the system was analyzed theoretically, and the results show that the function set of the system is dense in normed space, L~P(E), i.e. with universal approximation property. |
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| Keywords: | analysis multi-resolution T-S fuzzy system scale function approximation of function |
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