Temat: cubic spline - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Prefiltering in Wavelet Analysis Applying Cubic B-Splines
Autorzy:: Rakowski, W.
Powiązania:: https://bibliotekanauki.pl/articles/226902.pdf
Data publikacji:: 2014
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: wavelet
scaling function
wavelet analysis
wavelet transform
cubic box spline
digital filters
direct cubic B-spline filter
prefiltering
Opis:: Wavelet transform algorithms (Mallat’s algorithm, a trous algorithm) require input data in the form of a sequence of numbers equal to the signal projection coefficients on a space spanned by integer-translated copies of a scaling function. After sampling of the continuous-time signal, it is most frequently possible to compute only approximated values of the signal projection coefficients by choosing a specific signal approximation. Calculation of the signal projection coefficients based on the signal interpolation by means of cubic B-splines is proposed in the paper.
Źródło:: International Journal of Electronics and Telecommunications; 2014, 60, 4; 331-340
2300-1933
Pojawia się w:: International Journal of Electronics and Telecommunications
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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