A new method for estimating derivatives based on a distribution approach

被引：0

作者：

Nathalie Verdière

Lilianne Denis-Vidal

Ghislaine Joly-Blanchard

机构：

[1] University of Le Havre,

[2] LMAH,undefined

[3] University of Sciences and Technologies of Lille,undefined

[4] University of Technology of Compiègne,undefined

来源：

Numerical Algorithms | 2012年 / 61卷

关键词：

Derivatives estimation; Distributions; Test Functions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In many applications, the estimation of derivatives has to be done from noisy measured signal. In this paper, an original method based on a distribution approach is presented. Its interest is to report the derivatives on infinitely differentiable functions. Thus, the estimation of the derivatives is done only from the signal. Besides, this method gives some explicit formulae leading to fast calculus. For all these reasons, it is an efficient method in the case of noisy signals as it will be confirmed in several examples.

引用

页码：163 / 186

页数：23

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