R-滤子的谱及几何性质

冷拓

R-滤子的谱及几何性质

冷拓

中国科学院成都计算所自动推理实验室,成都 610041

基金项目: 国家重点基础研究发展规划资助项目(NKBRPC-2004CB318003);中国科学院知识创新工程资助重大项目(KJCX2-YW-S02);国家自然科学基金资助项目(10771205)

详细信息

作者简介:
冷拓(1983- ),男,湖南人(E-mail:lengtuo2004@hotmail.com).

中图分类号: F830
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- 被引次数: 0
出版历程
- 收稿日期: 2008-05-03
- 修回日期: 2008-12-01
- 刊出日期: 2009-01-15

Spectral Properties and Geometric Interpretation of R-Filters

LENG Tuo

Laboratory for Automated Reasoning and Programming, Chengdu Institute of Computer Applications, Chinese Academy of Sciences, Chengdu 610041, P. R. China

摘要

摘要: 应用Fourier分析,研究了R-滤子的谱性质,并且证明了R-滤子是最小二乘方多项式法则的推广,在此基础上给出了R-滤子的几何解释．
- R-滤子 /
- HP-滤子 /
- 谱性质 /
- Fourier分析 /
- Hess-矩阵 /
- 算子理论
Abstract: Applying the Fourier analysis, the spectral properties of the R-filters are studied. Further, it was proved that R-filters is a generalization of least squares polynomial adjustment. And the geometric interpretation of R-filters was given.
- R-filter /
- HP-filter /
- spectral property /
- Fourier analysis /
- Hess-matrix /
- operator theory

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参考文献(10)

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