Spectral properties and geometric interpretation of R-filters

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Spectral properties and geometric interpretation of R-filters

By applying the Fourier analysis, we study the spectral properties of R-filters. Further, we prove that R-filters are a generalization of least squares polynomial adjustment, and we give the geometric interpretation of R-filters.

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作 者: Tuo LENG  
作者单位:Laboratory for Automated Reasoning and Programming, Chengdu Institute of Computer Applications, Chinese Academy of Sciences, Chengdu 610041, P. R. China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2009 30(1) 
分类号:O3 
关键词:R-filter   HP-filter   spectral properties   Eourier analysis   Hess-matrix   op-erarot theory  
机标关键词:spectral propertiesFourier analysisleast squares 
基金项目:国家重点基础研究发展计划(973计划),the Knowledge Innovation Program of the National Natural Sciences Foundation of China 
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