Central European Journal of Mathematics

, Volume 6, Issue 1, pp 159–169 | Cite as

On the exact values of coefficients of coiflets

  • Dana ČernáEmail author
  • Václav Finěk
  • Karel Najzar
Research Article


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.


orthonormal wavelet coiflet exact value of filter coefficients 




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Copyright information

© © Versita Warsaw and Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  1. 1.Department of Mathematics and Didactics of MathematicsTechnical University of LiberecLiberec 1Czech Republic
  2. 2.Department of Numerical MathematicsCharles UniversityPrague 2Czech Republic

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