The convergence of sampling series based on multiresolution analysis.

DOI10.1016/S0893-9659(01)00062-3zbMath1036.94530OpenAlexW2090566349MaRDI QIDQ5950601

Xing-Wei Zhou, Wen-chang Sun

Publication date: 2 January 2002

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(01)00062-3

zbMATH Keywords

waveletsmultiresolution analysissampling theoremsampling series

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Sampling theory in information and communication theory (94A20)

Related Items (3)

Average sampling in shift invariant subspaces with symmetric averaging functions ⋮ The aliasing error in recovery of nonbandlimited signals by prefiltering and sampling ⋮ Characterization of Function Spaces Using Wavelets

Cites Work

• Approximation of continuous and discontinuous functions by generalized sampling series
• Frames and sampling theorem
• On the sampling theorem for wavelet subspaces
• On wavelets and prewavelets with vanishing moments in higher dimensions
• Multiresolution analysis and multivariate approximation of smooth signals in \(C_ B(\mathbb{R}^ d)\)
• Irregular sampling in wavelet subspaces
• Sampling theorem for multiwavelet subspaces
• A sampling theorem for wavelet subspaces
• The Zak transform and sampling theorems for wavelet subspaces
• On sampling theorem, wavelets, and wavelet transforms
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