| 一种解决一维卷积中信息丢失的简捷方法 |
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| 引用本文： | 沈卫阳,卓宗亮.一种解决一维卷积中信息丢失的简捷方法[J].高等学校化学学报,1994,15(11):1611-1614. |
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| 作者姓名： | 沈卫阳 卓宗亮 |
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| 作者单位： | 华东师范大学分析测试中心, 上海, 200062 |
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| 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。
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| 关 键 词： | 卷积 信息丢失 任意点评估 |
| 收稿时间： | 1994-01-31 |
A Simple Approach to Resolve Information Lost in Convolution |
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| SHEN Wei-Yang,ZHUO Zong-Liang.A Simple Approach to Resolve Information Lost in Convolution[J].Chemical Research In Chinese Universities,1994,15(11):1611-1614. |
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| Authors: | SHEN Wei-Yang ZHUO Zong-Liang |
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| Affiliation: | Analysis Center, East China Normal university, Shanghai, 200062 |
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| Abstract: | A simple 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. |
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| Keywords: | Convolution Information lost Any point evaluation |
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