A view on filtering of continuous data signals
Ivan Nagy, Miroslav Kárný (1992)
Kybernetika
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Ivan Nagy, Miroslav Kárný (1992)
Kybernetika
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Salim Ibrir, Sette Diop (2004)
International Journal of Applied Mathematics and Computer Science
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In this paper, we propose a numerical algorithm for filtering and robust signal differentiation. The numerical procedure is based on the solution of a simplified linear optimization problem. A compromise between smoothing and fidelity with respect to the measurable data is achieved by the computation of an optimal regularization parameter that minimizes the Generalized Cross Validation criterion (GCV). Simulation results are given to highlight the effectiveness of the proposed procedure. ...
Jiří Kobza, Jan Mlčák (1994)
Applications of Mathematics
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Continuity conditions for a biquadratic spline interpolating given mean values in terms of proper parameters are given. Boundary conditions determining such a spline and the algorithm for computing local parameters for the given data are studied. The notion of the natural spline and its extremal property is mentioned.
Jiří Kobza (2003)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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