On the exact values of coefficients of coiflets

• Autorzy: Dana Černá , Václav Finěk , Karel Najzar
• Języki publikacji: EN

Abstrakty

EN

In 1989, R. Coifman suggested the design of orthonormal wavelet systems with vanishing moments for both scaling and wavelet functions. They were first constructed by I. Daubechies [15, 16], and she named them coiflets. In this paper, we propose a system of necessary conditions which is redundant free and simpler than the known system due to the elimination of some quadratic conditions, thus the construction of coiflets is simplified and enables us to find the exact values of the scaling coefficients of coiflets up to length 8 and two further with length 12. Furthermore for scaling coefficients of coiflets up to length 14 we obtain two quadratic equations, which can be transformed into a polynomial of degree 4 for which there is an algebraic formula to solve them.

Słowa kluczowe

EN

orthonormal wavelet; coiflet; exact value of filter coefficients

Kategorie tematyczne

• 65T60: Wavelets

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2008
• Tom: 6
• Numer: 1
• Strony: 159-169

Daty

wydano

2008-03-01

online

2008-02-26

Twórcy

autor

Dana Černá

• Technical University of Liberec

autor

Václav Finěk

• Technical University of Liberec

autor

Karel Najzar

• Charles University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-008-0011-2