高等学校化学学报

高等学校化学学报 ›› 1994, Vol. 15 ›› Issue (11): 1611.

• 论文 • 上一篇    下一篇

一种解决一维卷积中信息丢失的简捷方法

沈卫阳, 卓宗亮   

  1. 华东师范大学分析测试中心, 上海, 200062
  • 收稿日期:1994-01-31 修回日期:1994-06-10 出版日期:1994-11-24 发布日期:1994-11-24
  • 通讯作者: 卓宗亮.
  • 作者简介:沈卫阳,男,26岁,硕士研究生,现在中国药科大学分析教研室工作.
  • 基金资助:

    国家自然科学基金

A Simple Approach to Resolve Information Lost in Convolution

SHEN Wei-Yang, ZHUO Zong-Liang   

  1. Analysis Center, East China Normal university, Shanghai, 200062
  • Received:1994-01-31 Revised:1994-06-10 Online:1994-11-24 Published:1994-11-24

PDF (PC)

被引次数

3

摘要： 提出一种弥补因卷积造成信息丢失的简捷方法。理论推导表明,非中心点评估导数的卷积整数正好是若干中心点评估导数卷积整数的线性组合,而后者在修正的Savitzky-Golay表中可以找到。本法提供一种产生任意点评估卷积整数的捷径,表格编排成易于参考的形式。

关键词: 卷积, 信息丢失, 任意点评估

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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