REMARKS ON ADAPTIVE FOURIER DECOMPOSITION

DOI10.1142/S0219691313500070zbMath1267.42006MaRDI QIDQ4917277

Tao Qian, Yan-Bo Wang

Publication date: 29 April 2013

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

zbMATH Keywords

Cauchy kerneldictionaryorthogonal greedy algorithmmaximal selection principleadaptive Fourier series

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Other generalizations of function theory of one complex variable (32A30)

Related Items (10)

FFT formulations of adaptive Fourier decomposition ⋮ Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains ⋮ Data-driven ILC algorithms using AFD in frequency domain for unknown linear discrete-time systems ⋮ A stochastic sparse representation: \(n\)-best approximation to random signals and computation ⋮ Adaptive rational approximation in Bergman space on bounded symmetric domain ⋮ Two‐dimensional adaptive Fourier decomposition ⋮ Rational approximation in a class of weighted Hardy spaces ⋮ MIMO frequency domain system identification using matrix-valued orthonormal functions ⋮ TRANSIENT TIME-FREQUENCY DISTRIBUTION BASED ON MONO-COMPONENT DECOMPOSITIONS ⋮ The AFD methods to compute Hilbert transform

Cites Work

• Analytic unit quadrature signals with nonlinear phase
• The best \(m\)-term approximation and greedy algorithms
• Some remarks on greedy algorithms
• Adaptive Fourier series---a variation of greedy algorithm
• Two families of unit analytic signals with nonlinear phase
• Analytic signals and harmonic measures
• Characterization of boundary values of functions in Hardy spaces with applications in signal analysis
• Boundary derivatives of the phases of inner and outer functions and applications
• A unifying construction of orthonormal bases for system identification
• Mono‐components for decomposition of signals
• STABILITY OF FRAMES GENERATED BY NONLINEAR FOURIER ATOMS
• Adaptive greedy approximations

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