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Spectral properties and geometric interpretation of R-filters

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Abstract

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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Authors and Affiliations

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

    Tuo Leng  (冷拓)

Authors
  1. Tuo Leng  (冷拓)
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Correspondence to Tuo Leng  (冷拓).

Additional information

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), and the National Natural Science Foundation of China (No. 10771205)

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Leng, T. Spectral properties and geometric interpretation of R-filters. Appl. Math. Mech.-Engl. Ed. 30, 109–120 (2009). https://doi.org/10.1007/s10483-009-0112-2

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  • DOI: https://doi.org/10.1007/s10483-009-0112-2

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