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Central European Journal of Mathematics

, Volume 2, Issue 3, pp 399–419 | Cite as

On the computation of scaling coefficients of Daubechies' wavelets

  • Dana Černá
  • Václav Finěk
Article
  • 126 Downloads

Abstract

In the present paper, Daubechies' wavelets and the computation of their scaling coefficients are briefly reviewed. Then a new method of computation is proposed. This method is based on the work [7] concerning a new orthonormality condition and relations among scaling moments, respectively. For filter lengths up to 16, the arising system can be explicitly solved with algebraic methods like Gröbner bases. Its simple structure allows one to find quickly all possible solutions.

Keywords

Daubechies' wavelets computation of scaling coefficients 

MSC (2000)

65T60 

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Copyright information

© Central European Science Journals 2004

Authors and Affiliations

  • Dana Černá
    • 1
  • Václav Finěk
    • 2
  1. 1.Institute of Mathematics and Didactics of MathematicsTechnical University of LiberecLiberecCzech Republic
  2. 2.Institute of Numerical MathematicsDresden University of TechnologyDresdenGermany

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