A view on filtering of continuous data signals
Ivan Nagy, Miroslav Kárný (1992)
Kybernetika
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Displaying similar documents to “A numerical procedure for filtering and efficient high-order signal differentiation”
A view on filtering of continuous data signals
Application of splines for determining the velocity characteristic of a medium from a vertical seismic survey
Vladimir Bogdanov, Wladimir Karsten, Valeriy Miroshnichenko, Yuriy Volkov (2013)
Open Mathematics
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A method for solving the inverse kinematic problem of determining the velocity characteristic of a medium from a vertical seismic survey, is proposed. It is based on the combined use of the eikonal equation and spline methods of approximation for multivariable functions. The problem is solved by assuming a horizontally stratified medium; no assumptions about the number of layers and their thickness are made. First, using the data of the first arrival times of the seismic signal from...
On a numerical method to approximate the solutions to bicriteria problems using a spline function
Clímaco, João C.N., Patrício, F. (1980)
Portugaliae mathematica
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Design of spline-based self-tuners
Miroslav Kárný, Ivan Nagy, Josef Böhm, Alena Halousková (1990)
Kybernetika
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The cross-validation method in the smoothing spline regression.
Breaz, Nicoleta (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
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Statistical estimates for generalized splines
Magnus Egerstedt, Clyde Martin (2003)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper it is shown that the generalized smoothing spline obtained by solving an optimal control problem for a linear control system converges to a deterministic curve even when the data points are perturbed by random noise. We furthermore show that such a spline acts as a filter for white noise. Examples are constructed that support the practical usefulness of the method as well as gives some hints as to the speed of convergence.