On biorthogonal discrete wavelet bases

DOI10.1142/S0219691315500022zbMath1407.42030MaRDI QIDQ5247082

Yuri A. Farkov, Evgeny A. Rodionov

Publication date: 22 April 2015

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

multiresolution analysissequence spacesbiorthogonal systemsWalsh functionsdiscrete waveletsVilenkin-Chrestenson transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (3)

Wavelet frames related to Walsh functions ⋮ Parseval frames and the discrete Walsh transform ⋮ Discrete wavelet transforms in Walsh analysis

Cites Work

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• The use of discrete dyadic wavelets in image processing
• Discrete wavelets and the Vilenkin-Chrestenson transform
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• On wavelets related to the Walsh series
• Examples of frames on the Cantor dyadic group
• ON BIORTHOGONAL WAVELETS RELATED TO THE WALSH FUNCTIONS
• Orthogonal wavelets with compact support on locally compact Abelian groups
• Discrete Fourier Analysis and Wavelets
• An Introduction to Wavelets Through Linear Algebra
• HAAR BASES FOR $L^2(\mathbb{Q}_2^2)$ GENERATED BY ONE WAVELET FUNCTION

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