A new method for estimating derivatives based on a distribution approach

A new method for estimating derivatives based on a distribution approach

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Article ID: iaor20124898
Volume: 61
Issue: 1
Start Page Number: 163
End Page Number: 186
Publication Date: Sep 2012
Journal: Numerical Algorithms
Authors: , ,
Keywords: derivatives, signal processing
Abstract:

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.

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