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)

[1]	Hodrick R J，Prescott E C, Postwar U S. Business cycles:an empirical investigation[J].Journal of Money,Credit,and Banking,1997,29(1):1-16. doi: 10.2307/2953682
[2]	Araujo Fabio, Areosa Marta Baltar Moreira, Neto Jose Alvaro Rodrigues.R-filters:a Hodrick-Prescott filter generalization[R]. Working Paper Series, 69,2003, 1-37.
[3]	Ehlgen Jürgen.Distortionary effects of the optimal Hodrick-Prescott filter[J]. Economic Letters,1998, 61(3):345-349. doi: 10.1016/S0165-1765(98)00190-6
[4]	Razaak W. The Hodrick-Prescott technique:a smooler versus a filter. an application to New Zealand GDP[J].Economic Letters,1997,57(2):163-168.
[5]	Cogly Timothy, Nason James M. Effects of the Hodrick-Prescott filter on trend and difference stationary time series. implication for business cycle research[J].Journal of Economic Dynamics and Control,1995,19(1/2):253-278. doi: 10.1016/0165-1889(93)00781-X
[6]	King Robert G, Rebelo Sergio T.Low frequency filtering and real business cycles[J]. Journal of Economic Dynamics and Control,1993,17:207-231.
[7]	Reeves J J, Blyth C A, Small J P.The Hodrick-Prescott filter, a generalization,and a new procedure for extracting an empirical cycle from series[J]. Studies in Nonlinear Dynamics and Economics,2000,4(1):1-16. doi: 10.1162/108118200569153
[8]	Baxter M, King Robert G. Measure business cycles approximate band-pass filters for economic time series[J].The Review of Economics and Statistics,1999,81(4):575-593. doi: 10.1162/003465399558454
[9]	Apel Mikael, Hansen Jan, Lindberg Hans. Potential output and output gap[J].Quarterly Review of the Bank of Sweden, 1996,3:24-35.
[10]	Horn R, Johnson C R.Martrix Analysis[M].New York:Cambridge University Press, 1985.