\(M\)-band scaling functions with minimal support are asymmetric

DOI10.1006/acha.2001.0353zbMath0996.42021OpenAlexW2090040025MaRDI QIDQ1604504

Qiyu Sun

Publication date: 4 July 2002

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

Full work available at URL: https://doi.org/10.1006/acha.2001.0353

zbMATH Keywords

waveletsmultiresolutionrefinable functionsminimal supportHaar functions\(M\)-band scaling functions

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)

Related Items (1)

Matrix extension with symmetry and Applications to Symmetric orthonormal complex \(M\)-wavelets

Cites Work

• Symmetric orthonormal scaling functions and wavelets with dilation factor 4
• Hölder regularity of compactly supported \(p\)-wavelets: \(p=3,4,5\)
• \(M\)-band scaling function with filter having vanishing moments two and minimal length
• Asymptotic behavior of \(M\)-band scaling functions of Daubechies type
• Construction of compactly supported \(M\)-band wavelets
• Sobolev exponent estimate and asymptotic regularity of the \(M\)-band Daubechies' scaling functions
• Construction of compactly supported symmetric and antisymmetric orthonormal wavelets with scale \(=3\)
• Compactly supported (bi)orthogonal wavelets generated by interpolatory refinable functions
• Compactly supported orthogonal symmetric scaling functions
• Regularity of wavelet bases and ergodic measures
• Orthonormal bases of compactly supported wavelets
• On the regularity of wavelets
• Rank M Wavelets with N Vanishing Moments
• Asymptotic regularity of Daubechies’ scaling functions

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