A Donoho-Stark criterion for stable signal recovery in discrete wavelet subspaces
DOI10.1016/j.cam.2011.04.034zbMath1250.94020OpenAlexW1974427798MaRDI QIDQ633959
Publication date: 2 August 2011
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2011.04.034
gradient algorithmsHilbert-Schmidt operatorgeometric harmonicsproduct of orthogonal projectionssingular operator with closed range
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for integral equations (65R20) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for wavelets (65T60) Application of orthogonal and other special functions (94A11) Linear operators and ill-posed problems, regularization (47A52)
Related Items (4)
Cites Work
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- On the convergence of wavelet-based iterative signal extrapolation algorithms
- On the linear independence of spikes and sines
- Donoho-Stark and Paley-Wiener theorems for the \(G\)-transform
- Analysis and short-time extrapolation of stock market indexes through projection onto discrete wavelet subspaces
- Time-frequency localization and sampling of multiband signals
- Sharp inequalities of singular values of smooth kernels
- Products of orthogonal projections as Carleman operators
- On theory and regularization of scale-limited extrapolation
- Irregular sampling in wavelet subspaces
- A characterization of closed range operators
- Fredholm properties of the difference of orthogonal projections in a Hilbert space
- Prolate spheroidal wave functions, an introduction to the Slepian series and its properties
- Wavelets based on prolate spheroidal wave functions
- On the extension of the Zak transform
- Geometric harmonics: a novel tool for multiscale out-of-sample extension of empirical functions
- Prolate spheroidal wavefunctions, quadrature and interpolation
- Regularization of the ill-posed problem of extrapolation with the Malvar-Wilson wavelets
- Uncertainty Principles and Signal Recovery
- Extrapolation algorithms for discrete signals with application in spectral estimation
- Fourier and Hankel bandlimited signal recovery
- Some comments on Fourier analysis, uncertainty and modeling
- Signal Recovery and the Large Sieve
- Generalized Image Restoration by the Method of Alternating Orthogonal Projections
- Irregular sampling, Toeplitz matrices, and the approximation of entire functions of exponential type
- Signal Extrapolation in Wavelet Subspaces
- Accelerating the convergence of the method of alternating projections
- A unified treatment of some iterative algorithms in signal processing and image reconstruction
- Oblique projections, biorthogonal Riesz bases and multiwavelets in Hilbert spaces
- On Gerchberg's method for the Fourier inverse problem
- On the limit of sampled signal extrapolation with a wavelet signal model∗
- SAMPLING AND OVERSAMPLING IN SHIFT-INVARIANT AND MULTIRESOLUTION SPACES I: VALIDATION OF SAMPLING SCHEMES
- Applications of reproducing kernel Hilbert spaces–bandlimited signal models
- Steepest descent for singular linear operators with nonclosed range
- Steepest Descent for Singular Linear Operator Equations
- On the Convergence of the Conjugate Gradient Method for Singular Linear Operator Equations
- Theory of Reproducing Kernels
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