A Simple Approach to Resolve Information Lost in Convolution

Chem. J. Chinese Universities ›› 1994, Vol. 15 ›› Issue (11): 1611.

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A Simple Approach to Resolve Information Lost in Convolution

SHEN Wei-Yang, ZHUO Zong-Liang

Analysis Center, East China Normal university, Shanghai, 200062

Received:1994-01-31 Revised:1994-06-10 Online:1994-11-24 Published:1994-11-24

Abstract

Abstract: Asimple approach to resolve the information lost in convolution has been suggested.Theoretical deduction showed that convolute integers for non-central point evaluation of derivatives can be expressed by the linear combination of those for central point evaluation of derivatives, while the latter was available in the revised Savitzky-Golay tables. This method offers a quick access to generating convolute integers for any point evaluation.The tables are arranged in an easy-to-refer format.

Key words: Convolution, Information lost, Any point evaluation

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SHEN Wei-Yang, ZHUO Zong-Liang. A Simple Approach to Resolve Information Lost in Convolution[J]. Chem. J. Chinese Universities, 1994, 15(11): 1611.

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A Simple Approach to Resolve Information Lost in Convolution

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