Spectral properties and geometric interpretation of R-filters  

作　　者：冷拓 

机构地区：[1]Laboratory for Automated Reasoning and Programming Chengdu Institute of Computer Applications, Chinese Academy of Sciences,Chengdu 610041, P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第1期109-120,共12页应用数学和力学（英文版）

基　　金：Project supported by the National Basic Research Program of China (973 Program) (No. NKBRPC-2004CB318003);the Knowledge Innovation Program of the Chinese Academy of Sciences(No. KJCX2-YW-S02);the National Natural Science Foundation of China (No. 10771205)

摘　　要：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.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.

关 键 词：R-filter HP-filter spectral properties Fourier analysis Hess-matrix operator theory 

分 类 号：TN713[电子电信—电路与系统]