GENERALIZED IRREGULAR SAMPLING IN SHIFT-INVARIANT SPACES

DOI10.1142/S021969130700180XzbMath1213.42107MaRDI QIDQ3525375

Antonio G. García, G. Pérez-Villalón

Publication date: 12 September 2008

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

zbMATH Keywords

shift-invariant spacesperturbation of framesgeneralized irregular sampling

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Application of orthogonal and other special functions (94A11) Sampling theory in information and communication theory (94A20)

Related Items (10)

MULTI-CHANNEL SAMPLING ON SHIFT-INVARIANT SPACES WITH FRAME GENERATORS ⋮ Approximation of kernel projection operators in shift-invariant subspaces of function spaces with mixed norms ⋮ Generalized sampling in shift invariant spaces with frames ⋮ A local weighted average sampling and reconstruction theorem over shift invariant subspaces ⋮ Local Sampling and Reconstruction in Shift-Invariant Spaces and Their Applications in Spline Subspaces ⋮ Multivariate generalized sampling in shift-invariant spaces and its approximation properties ⋮ Generalized sampling: From shift-invariant to U-invariant spaces ⋮ Average and convolution sampling over shift-invariant spaces ⋮ Perturbation theorems for regular sampling in wavelet subspaces ⋮ Average sampling expansions from regular and irregular samples over shift-invariant subspaces on LCA groups

Cites Work

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• On the sampling theorem for wavelet subspaces
• Irregular sampling in wavelet subspaces
• Average sampling in spline subspaces
• Riesz bases in \(L^{2}(0,1)\) related to sampling in shift-invariant spaces
• Dual frames in \(L^2(0,1)\) connected with generalized sampling in shift-invariant spaces
• Irregular sampling theorems for wavelet subspaces
• Acceleration of the frame algorithm
• AN ANALYSIS METHOD FOR SAMPLING IN SHIFT-INVARIANT SPACES

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