Rate of innovation for (non-)periodic signals and optimal lower stability bound for filtering
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Publication:485216
DOI10.1007/s00041-013-9308-zzbMath1320.94026OpenAlexW1995419253MaRDI QIDQ485216
Publication date: 9 January 2015
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-013-9308-z
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Moment problems (44A60) Sampling theory in information and communication theory (94A20) Inverse problems for integral equations (45Q05) Trigonometric moment problems in one variable harmonic analysis (42A70)
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Cites Work
- Unnamed Item
- On a class of non-uniform average sampling expansions and partial reconstruction in subspaces of \(L _{2}(\mathbb R)\)
- Localized nonlinear functional equations and two sampling problems in signal processing
- Sampling in reproducing kernel Banach spaces on Lie groups
- Affine frame decompositions and shift-invariant spaces
- Convolution, average sampling, and a Calderon resolution of the identity for shift-invariant spaces
- Average sampling in \(L^2\)
- Frames in spaces with finite rate of innovation
- Slanted matrices, Banach frames, and sampling
- Characterization of local sampling sequences for spline subspaces
- Stability of localized operators
- Reconstructing signals with finite rate of innovation from noisy samples
- Almost integer translates. Do nice generators exist?
- Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces
- Sampling and reconstruction of signals in a reproducing kernel subspace of \(L^p(\mathbb R^d)\)
- Local reconstruction for sampling in shift-invariant spaces
- The Poincaré inequality is an open ended condition
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- Metric and geometric quasiconformality in Ahlfors regular Loewner spaces
- Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
- Stability of Localized Integral Operators on WeightedLpSpaces
- Local Sampling and Reconstruction in Shift-Invariant Spaces and Their Applications in Spline Subspaces
- Nonuniform Average Sampling and Reconstruction of Signals with Finite Rate of Innovation
- Locally finite dimensional shift-invariant spaces in $\mathbf {R}^d$
- Sampling Moments and Reconstructing Signals of Finite Rate of Innovation: Shannon Meets Strang–Fix
- Sampling Schemes for Multidimensional Signals With Finite Rate of Innovation
- Xampling at the Rate of Innovation
- Sampling-50 years after Shannon
- Sampling signals with finite rate of innovation
- Sampling and reconstruction of signals with finite rate of innovation in the presence of noise
- Compressed sensing
- \(p\)-frames and shift invariant subspaces of \(L^p\)
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