基于多分辨率分析的模糊系统逼近能力分析
Approximation Capability of Fuzzy System Based on Multi-resolution Analysis
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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LP(E)中是稠密的,即具有函数逼近能力.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,LP(E),i.e.with universal approximation property.
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Key words:
- analysis /
- multi-resolution /
- T-S fuzzy system /
- scale function
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