Sparse representations of random signals
DOI10.1002/mma.8033zbMath1529.94017OpenAlexW4200175487MaRDI QIDQ6141480
Publication date: 19 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8033
Hardy spacesanalytic signalssparse representationdictionaryrandom signaladaptive Fourier decompositionstochastic Hilbert spacespreorthogonal adaptive Fourier decompositionstochastic analytic Hardy spaces
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Theoretical approximation in context of PDEs (35A35) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Approximation by other special function classes (41A30) Series expansions of functions of one complex variable (30B99)
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Cites Work
- Unnamed Item
- Frequency-domain identification: An algorithm based on an adaptive rational orthogonal system
- On backward shift algorithm for estimating poles of systems
- Approximation of monogenic functions by higher order Szegő kernels on the unit ball and half space
- Identification and rational \(L^ 2\) approximation: A gradient algorithm
- A class of iterative greedy algorithms related to Blaschke product
- Adaptative decomposition: the case of the Drury-Arveson space
- Reproducing kernel sparse representations in relation to operator equations
- Fourier spectrum of Clifford \(H^p\) spaces on \(\mathbb{R}_+^{n + 1}\) for \(1 \leq p \leq \infty \)
- Rational approximation in a class of weighted Hardy spaces
- An enhancement algorithm for cyclic adaptive Fourier decomposition
- Nonlinear phase unwinding of functions
- Phase unwinding, or invariant subspace decompositions of Hardy spaces
- Adaptive Fourier series---a variation of greedy algorithm
- Matching pursuits among shifted Cauchy kernels in higher-dimensional spaces
- An Introduction to Computational Stochastic PDEs
- Adaptive orthonormal systems for matrix-valued functions
- Adaptive Fourier decomposition of functions in quaternionic Hardy spaces
- A Theory on Non-Constant Frequency Decompositions and Applications
- Intrinsic mono-component decomposition of functions: An advance of Fourier theory
- Existence and Generic Properties of L2 Approximants for Linear Systems
- A Novel Fourier Theory on Non-linear Phases and Applications
- Two-Dimensional Frequency-Domain System Identification
- 2D Partial Unwinding—A Novel Non-Linear Phase Decomposition of Images
- Reproducing kernel approximation in weighted Bergman spaces: Algorithm and applications
- Approximation of functions by higher order Szegö kernels I. Complex variable cases
- Cyclic AFD algorithm for the best rational approximation
- Two‐dimensional adaptive Fourier decomposition
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