Unitary mappings between multiresolution analyses of \(L^2(R)\) and a parametrization of low-pass filters

DOI10.1007/BF02475989zbMath0915.42028OpenAlexW2090673202MaRDI QIDQ1271485

Manos Papadakis

Publication date: 21 January 1999

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59560

zbMATH Keywords

scaling functionsunitary operatorsMRAmultiresolution analyseswandering vectorslow-pass filterscommutant of the shift operatorDaubechies' orthonormal wavelets

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) General harmonic expansions, frames (42C15) Spline approximation (41A15)

Related Items (4)

Multiresolution Equivalence and Path Connectedness ⋮ Scaling sets and generalized scaling sets on Cantor dyadic group ⋮ Wavelet sets and scaling sets in local fields ⋮ The characterization of low pass filters and some basic properties of wavelets, scaling functions and related concepts

Cites Work

• Smoothing minimally supported frequency wavelets. II
• Construction of minimally supported frequency wavelets
• Wavelets obtained by continuous deformations of the Haar wavelet
• Wavelets in subspaces
• An equivalence relation between multiresolution analysis of \(L^ 2(R)\)
• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Wandering vectors for unitary systems and orthogonal wavelets
• The s-elementary wavelets are path-connected
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