Existence and construction of compactly supported biorthogonal multiple vector-valued wavelets

DOI10.1007/BF02832040zbMath1148.42010MaRDI QIDQ861460

Zheng-Xing Cheng, Cui-Ling Wang, Qing-Jiang Chen

Publication date: 29 January 2007

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

refinement equationmultiple vector-valued scaling functionsmultiple vector-valued waveletsVector-valued multiresolution analysis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60)

Related Items (11)

Construction and characterizations of orthogonal vector-valued multivariate wavelet packets ⋮ Design and characterizations of a class of orthogonal multiple vector-valued wavelets with 4-scale ⋮ The research of a class of biorthogonal compactly supported vector-valued wavelets ⋮ Design and properties of vector-valued wavelets associated with an orthogonal vector-valued scaling function ⋮ Characteristics of a class of vector-valued non-separable higher-dimensional wavelet packet bases ⋮ The characterization of vector-valued multivariate wavelet packets associated with a dilation matrix ⋮ On approximation properties of matrix-valued multi-resolution analyses ⋮ Construction and properties of orthogonal matrix-valued wavelets and wavelet packets ⋮ Compactly supported wavelet and the numerical solution of the Vlasov equation ⋮ A study on orthogonal two-direction vector-valued wavelets and two-direction wavelet packets ⋮ Existence of Matrix-Valued Multiresolution Analysis-Based Matrix-Valued Tight Wavelet Frames

Cites Work

• On vector subdivision
• Regularity of multiwavelets
• Construction of biorthogonal multiwavelets
• Wavelets for multichannel signals
• A study of orthonormal multi-wavelets
• The fundamental solution of the space-time fractional advection-dispersion equation
• Wavelet transforms for vector fields using omnidirectionally balanced multiwavelets
• Data-Driven and Optimal Denoising of a Signal and Recovery of Its Derivative Using Multiwavelets

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