Spectral models for orthonormal wavelets and related algorithms

This work presents new methods for constructing orthonormal wavelets from certain families of Hardy functions. Inner functions and the corresponding backward shift invariant subspaces are in the core of the structure of these families. The new algorithms focus on the local shape of the wavelets, a p...

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Bibliographic Details
Published in:Journal of physics. Conference series 2014-01, Vol.490 (1), p.12076-4
Main Authors: Gómez-Cubillo, F, Suchanecki, Z, Villullas, S
Format: Article
Language:English
Subjects:
Algorithms
Construction
Invariants
Mathematical models
Pattern recognition
Physics
Spectra
Subspaces
Wavelet
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Summary:This work presents new methods for constructing orthonormal wavelets from certain families of Hardy functions. Inner functions and the corresponding backward shift invariant subspaces are in the core of the structure of these families. The new algorithms focus on the local shape of the wavelets, a property making them especially useful for pattern recognition.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/490/1/012076