Symmetric dual multiwavelet frames

For a given symmetric refinable matrix mask obeying the sum rule of order [Formula: see text], an explicit method is suggested for constructing symmetric almost frame-like multiwavelets providing approximation order [Formula: see text]. Obtained multiwavelet system can be further improved to be a dual multiwavelet frame, keeping symmetry and approximation properties.

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Publication Details

Journal
International Journal of Wavelets Multiresolution and Information Processing
Published
2025-04-26
DOI
https://doi.org/10.1142/s021969132550016x
Primary Topic
Optical measurement and interference techniques
Type
article
Field-Weighted Citation Impact
0.00
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article

Symmetric dual multiwavelet frames

A. Krivoshein
International Journal of Wavelets Multiresolution and Information Processing
Optical measurement and interference techniques
article

Symmetric dual multiwavelet frames

A. Krivoshein
article en

Abstract

For a given symmetric refinable matrix mask obeying the sum rule of order [Formula: see text], an explicit method is suggested for constructing symmetric almost frame-like multiwavelets providing approximation order [Formula: see text]. Obtained multiwavelet system can be further improved to be a dual multiwavelet frame, keeping symmetry and approximation properties.

International Journal of Wavelets Multiresolution and Information ProcessingVol. 23(04)
St Petersburg University (RU)
Openalex Percentile: Top 93%
Optical measurement and interference techniques
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Symmetric dual multiwavelet frames — A. Krivoshein · International Journal of Wavelets Multiresolution and Information Processing (2025) | TGRS Research Map | TGRS