Temat: spline - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A Numerical Algorithm for Filtering and State Observation
Autorzy:: Ibrir, S.
Powiązania:: https://bibliotekanauki.pl/articles/908263.pdf
Data publikacji:: 1999
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: krzywa składana
różniczkowanie numeryczne
obserwator
spline functions
numerical differentiation
observers
smooth filters
Opis:: This paper deals with a numerical method for data fitting and estimation of continuous higher-order derivatives of a given signal from its non-exactsampled data. The proposed algorithm is a generalization of the algorithm proposed by Reinsch (1967). This algorithm is conceived as a key element in the structure of the numerical observer discussed in our recent papers. Satisfactory results are obtained which prove the efficiency of the proposed approach.
Źródło:: International Journal of Applied Mathematics and Computer Science; 1999, 9, 4; 855-869
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Application of cubic box spline wavelets in the analysis of signal singularities
Autorzy:: Rakowski, W.
Powiązania:: https://bibliotekanauki.pl/articles/330067.pdf
Data publikacji:: 2015
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: cubic box spline
wavelets
dyadic wavelet transform
singularity detection
falki
diadyczna transformacja falkowa
detekcja pojedyncza
Opis:: In the subject literature, wavelets such as the Mexican hat (the second derivative of a Gaussian) or the quadratic box spline are commonly used for the task of singularity detection. The disadvantage of the Mexican hat, however, is its unlimited support; the disadvantage of the quadratic box spline is a phase shift introduced by the wavelet, making it difficult to locate singular points. The paper deals with the construction and properties of wavelets in the form of cubic box splines which have compact and short support and which do not introduce a phase shift. The digital filters associated with cubic box wavelets that are applied in implementing the discrete dyadic wavelet transform are defined. The filters and the algorithme à trous of the discrete dyadic wavelet transform are used in detecting signal singularities and in calculating the measures of signal singularities in the form of a Lipschitz exponent. The article presents examples illustrating the use of cubic box spline wavelets in the analysis of signal singularities.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2015, 25, 4; 927-941
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: The approximation function of bridge deck vibration derived from the measured eigenmodes
Autorzy:: Sokol, M.
Komorníková, M.
Bacigál, T.
Rodríguez, M. X.
Powiązania:: https://bibliotekanauki.pl/articles/329968.pdf
Data publikacji:: 2017
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: eigenmode approximation
eigenmode derivatives
regression spline
spectral analysis
distributed parameter system
krzywa regresji
analiza spektralna
układ o parametrach rozłożonych
Opis:: This article deals with a method of how to acquire approximate displacement vibration functions. Input values are discrete, experimentally obtained mode shapes. A new improved approximation method based on the modal vibrations of the deck is derived using the least-squares method. An alternative approach to be employed in this paper is to approximate the displacement vibration function by a sum of sine functions whose periodicity is determined by spectral analysis adapted for non-uniformly sampled data and where the parameters of scale and phase are estimated as usual by the least-squares method. Moreover, this periodic component is supplemented by a cubic regression spline (fitted on its residuals) that captures individual displacements between piers. The statistical evaluation of the stiffness parameter is performed using more vertical modes obtained from experimental results. The previous method (Sokol and Flesch, 2005), which was derived for near the pier areas, has been enhanced to the whole length of the bridge. The experimental data describing the mode shapes are not appropriate for direct use. Especially the higher derivatives calculated from these data are very sensitive to data precision.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2017, 27, 4; 799-814
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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