Error estimation for non-uniform sampling in shift invariant space
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Publication:5297106
DOI10.1080/00036810701259236zbMath1135.94003OpenAlexW2078068667WikidataQ58254891 ScholiaQ58254891MaRDI QIDQ5297106
Publication date: 18 July 2007
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036810701259236
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) General harmonic expansions, frames (42C15) Spline approximation (41A15)
Related Items (6)
On stability of sampling-reconstruction models ⋮ Error estimates from noise samples for iterative algorithm in shift-invariant signal spaces ⋮ Sampling and reconstruction in shift-invariant spaces on \(\mathbb R^d\) ⋮ Stability and limit oscillations of a control event-based sampling criterion ⋮ Invertibility of Laurent operators and shift invariant spaces with finitely many generators ⋮ Multivariate generalized sampling in shift-invariant spaces and its approximation properties
Cites Work
- Weighted sampling and signal reconstruction in spline subspaces
- On identifying the maximal ideals in Banach algebras
- Non-uniform weighted average sampling and reconstruction in shift-invariant and wavelet spaces
- Localization of frames, Banach frames, and the invertibility of the frame operator
- Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces
- Sampling theorem for wavelet subspaces: error estimate and irregular sampling
- Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
- A sampling theorem for wavelet subspaces
- Exact iterative reconstruction algorithm for multivariate irregularly sampled functions in spline-like spaces: The 𝐿^{𝑝}-theory
- Irregular sampling theorems for wavelet subspaces
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