On frame multiresolution analysis

Author

Christensen, Ole

Source

The Arabian Journal for Science and Engineering. Section C, Theme issues

Issue

Vol. 28, Issue 1C(s) (30 Jun. 2003), pp.59-72, 14 p.

Publisher

King Fahd University of Petroleum and Minerals

Publication Date

2003-06-30

Country of Publication

Saudi Arabia

No. of Pages

14

Main Subjects

Mathematics

Abstract AR

نستعمل الحرية المتواجدة في تحليل الإطارات المتعددة الدقة لبناء إطارات ضيقة (حتى في هذه الحالة - حيث الدالة المحسنة - لا تولد إطارا ضيقا).

أما في الحالات التي لا يؤدي الإطار المتعدد الدقة إلى بناء إطار الموجة الصغيرة, فسوف نبين كيف يمكن بناء إطار الموجة الصغيرة بمولدين.

Abstract EN

We use the freedom in frame multiresolution analysis to construct tight wavelet frames (even in the case where the refinable function does not generate a tight frame).

In cases where a frame multiresolution does not lead to a construction of a wavelet frame we show how one can nevertheless construct a wavelet frame with two generators.

Key Words: frame; multiresolution analysis; wavelet; wavelet frame.

American Psychological Association (APA)

Christensen, Ole. 2003. On frame multiresolution analysis. The Arabian Journal for Science and Engineering. Section C, Theme issues،Vol. 28, no. 1C(s), pp.59-72.
https://search.emarefa.net/detail/BIM-360072

Modern Language Association (MLA)

Christensen, Ole. On frame multiresolution analysis. The Arabian Journal for Science and Engineering. Section C, Theme issues Vol. 28, no. 1C(s) (Jun. 2003), pp.59-72.
https://search.emarefa.net/detail/BIM-360072

American Medical Association (AMA)

Christensen, Ole. On frame multiresolution analysis. The Arabian Journal for Science and Engineering. Section C, Theme issues. 2003. Vol. 28, no. 1C(s), pp.59-72.
https://search.emarefa.net/detail/BIM-360072

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 72

Record ID

BIM-360072