Meyer’s wavelet with a refined localization

Authors

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.

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.

Published

27-04-2006

How to Cite

Лебедева Е., Постников Е. Meyer’s Wavelet With a Refined Localization // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2006. 7. 122-124

Issue

Section

Section 1. Numerical methods and applications