ORTHONORMAL MRA WAVELETS: SPECTRAL FORMULAS AND ALGORITHMS-Reference-Cited by-同舟云学术

ORTHONORMAL MRA WAVELETS: SPECTRAL FORMULAS AND ALGORITHMS

Published:2012-01 Issue:01 Volume:10 Page:1250008
ISSN:0219-6913
Container-title:International Journal of Wavelets, Multiresolution and Information Processing
language:en
Short-container-title:Int. J. Wavelets Multiresolut Inf. Process.

Author:

GÓMEZ-CUBILLO F.¹,SUCHANECKI Z.²³,VILLULLAS S.¹

Affiliation:

1. Dpto de Análisis Matemático, Universidad de Valladolid, Facultad de Ciencias, 47011 Valladolid, Spain

2. Université du Luxembourg, Campus Kirchberg, 6 Rue Coudenhove-Kalergi, L-1359, Luxembourg

3. Institute of Mathematics and Informatics, University of Opole, 45-052 Opole, Poland

Abstract

Spectral decompositions of translation and dilation operators are built in terms of suitable orthonormal bases of L2(ℝ), leading to spectral formulas for scaling functions and orthonormal wavelets associated with multiresolution analysis (MRA). The spectral formulas are useful to compute compactly supported scaling functions and wavelets. It is illustrated with a particular choice of the orthonormal bases, the so-called Haar bases, which yield a new algorithm related to the infinite product matrix representation of Daubechies and Lagarias.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021969131100450X

Reference19 articles.

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4. Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals

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