Meyer’s wavelet with a refined localization

Authors

  • E.A. Lebedeva
  • E.B. Postnikov

Keywords:

вейвлет
константа неопределенности
частотно-временная локализация
квадратичные B-сплайны

Abstract

A specific form of the uncertainty constant for Meyer’s wavelet is derived. This form is considered as a functional dependent on the function specifying Meyer’s wavelet family. Numerical minimization of this functional allows us to find an expression for the wavelet whose uncertainty constant is less than the standard one by a factor of 1.5.

New computational technologies

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Published

2006-04-27

Issue

Vol. 7 (2006): Issue 1.

Section

Section 1. Numerical methods and applications

Author Biographies

E.A. Lebedeva

Kursk State University,
Faculty of Physics and Mathematics

E.B. Postnikov

Kursk State University,
Faculty of Physics and Mathematics

References

  1. Meyer Y. Principe d’incertitude bases Hilbertiennes et algebras d’operateurs // Seminaire Bourbaki. 1985/86. 38, N 662. 209-223.
  2. Добеши И. Десять лекций по вейвлетам. Ижевск: НИЦ «Регулярная и хаотическая динамика», 2001.
  3. Shen X. A quadrature formula based on sampling in Meyer wavelet subspaces // J. Comp. Anal. Appl. 2001. 3, N 2. 147-163.