Continuous wavelet transforms and their images in the MathCad package

Authors

  • Ya.M. Zhileikin Lomonosov Moscow State University
  • Yu.I. Osipik Lomonosov Moscow State University
  • A.Ya. Khasin National Research University «Moscow Power Engineering Institute»

Keywords:

вэйвлет-преобразования, квадратурные формулы, визуализация, интегральные преобразования

Abstract

Continuous wavelet transforms are computed with the aid of optimal Filon-type quadrature formulas. In order to visualize the results of wavelet transforms, we use the MathCad package whose capabilities allow one to represent visually the properties of signals. The work was supported by the Russian Foundation for Basic Research (project Nos. 05-01-00984 and 04-02-17259).

Author Biographies

Ya.M. Zhileikin

Yu.I. Osipik

A.Ya. Khasin

References

  1. Жилейкин Я.М., Осипик Ю.И. О погрешности и алгоритмах численной реализации непрерывных вэйвлет-преобразований // ЖВМ и МФ. 2005. 45, № 12. 2091-2101.
  2. Дьяконов В.П. MathCad 2001. Специальный справочник. СПб.: Питер, 2002.
  3. Малла C. Вэйвлеты в обработке сигналов. М.: Мир, 2005.
  4. Шредер М. Фракталы, хаос, степенные законы. М.; Ижевск: PXD, 2001.
  5. Funke H., Scheinost A.C., Chukalina M. Wavelet analysis of extended X-ray absorption fine structure data // Phys. Rev. 2005. B 71. 094110, pp. 1-7.

Published

14-06-2007

How to Cite

Жилейкин Я.М., Осипик Ю.И., Хасин А.Я. Continuous Wavelet Transforms and Their Images in the MathCad Package // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2007. 8. 218-224

Issue

Section

Section 1. Numerical methods and applications

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