Real-Time Recovery of Functions and their Derivatives by Variation Splines

Elena A. Kochegurova; Ekaterina S. Gorokhova

doi:10.4028/www.scientific.net/KEM.685.920

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HomeKey Engineering MaterialsKey Engineering Materials Vol. 685Real-Time Recovery of Functions and their...

Real-Time Recovery of Functions and their Derivatives by Variation Splines

Abstract:

A method of modeling derivatives in a real-time non-stationary process is proposed. This concept is based on approximation of variation smoothing splines. A recurrent estimation formula for parameters of a spline where the number of measurements of every segment is higher than the number of node is given. Dependence between accuracy of estimations of derivatives and values of the spline parameters is studied. Optimal values of parameters are found.

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High Technology: Research and Applications 2015

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Periodical:

Key Engineering Materials (Volume 685)

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920-924

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.685.920

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Online since:

February 2016

Authors:

Elena A. Kochegurova*, Ekaterina S. Gorokhova

Keywords:

Derivatives Recovery, Recurrent Algorithm, Variation Smoothing Spline

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