Low-pass filters, martingales, and multiresolution analyses

DOI10.1006/acha.2000.0320zbMath0980.42033OpenAlexW2033571861MaRDI QIDQ1582143

Richard F. Gundy

Publication date: 19 February 2002

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/acha.2000.0320

zbMATH Keywords

Riesz basismartingalesmultiresolution analyseslow-pass filters

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Martingales and classical analysis (60G46)

Related Items (12)

One-Dimensional Dyadic Wavelets ⋮ On stability and orthogonality of refinable functions ⋮ On \(g\)-functions for countable state subshifts ⋮ Stability of iterated dyadic filter banks ⋮ On low pass filters in a frame multiresolution analysis ⋮ Invariant sets for QMF functions ⋮ Wavelet constructions in non-linear dynamics ⋮ On stable refinable function vectors with arbitrary support ⋮ Measures in wavelet decompositions ⋮ Iterated function systems, Ruelle operators, and invariant projective measures ⋮ Low-pass filters and representations of the Baumslag Solitar group ⋮ Compactly supported tight and sibling frames with maximum vanishing moments

Cites Work

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• Strongly mixing g-measures
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• Fonctions harmoniques pour un opérateur de transition et applications
• Characterizations of orthonormal scale functions: A probabilistic approach

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