Positive-instantaneous frequency and approximation
DOI10.1007/s11464-022-1014-1zbMath1492.94036OpenAlexW4280537994WikidataQ114222287 ScholiaQ114222287MaRDI QIDQ2141328
Publication date: 25 May 2022
Published in: Frontiers of Mathematics in China (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11464-022-1014-1
Hardy spaceHilbert transformClifford algebraBlaschke productreproducing kernel Hilbert spaceMöbius transformseveral complex variablesmono-componentNevanlinna factorizationrational orthogonal systemBeurling-Lax theoreminner and outer functionsadaptive Fourier decompositionpre-orthogonal AFD
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Conjugate functions, conjugate series, singular integrals (42A50) Harmonic analysis of several complex variables (32A50) Hardy spaces (30H10) Inner functions of one complex variable (30J05) Blaschke products (30J10)
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Cites Work
- New aspects of Beurling-Lax shift invariant subspaces
- Phase derivative of monogenic signals in higher dimensional spaces
- The Fueter primitive of biaxially monogenic functions
- Frequency-domain identification: An algorithm based on an adaptive rational orthogonal system
- A fast adaptive model reduction method based on Takenaka-Malmquist systems
- Approximation of monogenic functions by higher order Szegő kernels on the unit ball and half space
- Discrete orthogonality of the Malmquist Takenaka system of the upper half plane and rational interpolation
- Holomorphic approximation of \(L_2\)-functions on the unit sphere in \(\mathbb R^3\)
- Adaptive decomposition by weighted inner functions: a generalization of Fourier series
- Orthonormal bases with nonlinear phases
- Analytic unit quadrature signals with nonlinear phase
- Analytic signals with nonnegative instantaneous frequency
- Hardy-Sobolev spaces decomposition in signal analysis
- Fourier spectrum characterizations of \(H^{p}\) spaces on tubes over cones for \(1\leq p \leq \infty \)
- Extracting outer function part from Hardy space function
- Identification and rational \(L^ 2\) approximation: A gradient algorithm
- System identification by discrete rational atoms
- The structure of instantaneous frequencies of periodic analytic signals
- The Bedrosian identity and homogeneous semi-convolution equations
- Simple proofs of the Bedrosian equality for the Hilbert transform
- A martingale proof of \(L_ 2\) boundedness of Clifford-valued singular integrals
- Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces
- Uncertainty principle and phase-amplitude analysis of signals on the unit sphere
- Adaptative decomposition: the case of the Drury-Arveson space
- Comparison of adaptive mono-component decompositions
- Rational orthogonal bases satisfying the Bedrosian identity
- Fourier spectrum of Clifford \(H^p\) spaces on \(\mathbb{R}_+^{n + 1}\) for \(1 \leq p \leq \infty \)
- A constructive proof of Beurling-Lax theorem
- Rational approximation in a class of weighted Hardy spaces
- Nonlinear phase unwinding of functions
- Phase unwinding, or invariant subspace decompositions of Hardy spaces
- Adaptive Fourier series---a variation of greedy algorithm
- A sharper uncertainty principle
- Analysis of the intrinsic mode functions
- Matching pursuits among shifted Cauchy kernels in higher-dimensional spaces
- Multivalent starlike functions
- Clifford and harmonic analysis on cylinders and tori
- Analytic signals and harmonic measures
- Characterization of boundary values of functions in Hardy spaces with applications in signal analysis
- Rational approximation of functions in Hardy spaces
- Hilbert transforms on the sphere with the Clifford algebra setting
- Hardy space decomposition of on the unit circle:
- Backward shift invariant subspaces with applications to band preserving and phase retrieval problems
- TRANSIENT TIME-FREQUENCY DISTRIBUTION BASED ON MONO-COMPONENT DECOMPOSITIONS
- SPARSE RECONSTRUCTION OF HARDY SIGNAL AND APPLICATIONS TO TIME-FREQUENCY DISTRIBUTION
- Instantaneous frequency estimation and representation of the audio signal through Complex Wavelet Additive Synthesis
- Adaptive orthonormal systems for matrix-valued functions
- General Theory for Integer-Type Algorithm for Higher Order Differential Equations
- The Fueter mapping theorem in integral form and the ℱ-functional calculus
- Practical Implementation and Error Bound of Integer-Type Algorithm for Higher-Order Differential Equations
- Adaptive Fourier decomposition of functions in quaternionic Hardy spaces
- ADAPTIVE DECOMPOSITION OF FUNCTIONS INTO PIECES OF NON-NEGATIVE INSTANTANEOUS FREQUENCIES
- Intrinsic mono-component decomposition of functions: An advance of Fourier theory
- Boundary derivatives of the phases of inner and outer functions and applications
- Fourier spectrum characterization of Hardy spaces and applications
- Hilbert transforms and the Cauchy integral in euclidean space
- Fourier Multipliers on Lipschitz Curves
- Convolution Singular Integrals on Lipschitz Surfaces
- Matrix RationalH2Approximation: A Gradient Algorithm Based on Schur Analysis
- The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
- Singular integrals with holomorphic kernels and Fourier multipliers on star-shaped closed Lipschitz curves
- Analytic Phase Derivatives, All-Pass Filters and Signals of Minimum Phase
- Algorithm of Adaptive Fourier Decomposition
- A Tighter Uncertainty Principle for Linear Canonical Transform in Terms of Phase Derivative
- Carrier Frequencies, Holomorphy, and Unwinding
- Hardy-Hodge decomposition of vector fields in ℝⁿ
- A Class of Intrinsic Trigonometric Mode Polynomials
- Singular Integrals and Fourier Theory on Lipschitz Boundaries
- Greedy Algorithms and Rational Approximation in One and Several Variables
- On a Conjecture of M. S. Robertson
- Boundedness of singular integral operators with holomorphic kernels on star-shaped closed Lipschitz curves
- Optimal approximation by Blaschke forms
- Directional quaternionic hilbert operators
- Adaptive Fourier decomposition‐based Dirac type time‐frequency distribution
- Hilbert Transformation and Representation of the ax + b Group
- Cyclic AFD algorithm for the best rational approximation
- Rational orthogonal systems are Schauder bases
- Mono‐components for decomposition of signals
- Two‐dimensional adaptive Fourier decomposition
- Fourier analysis on starlike Lipschitz surfaces
- Adaptive greedy approximations
- Extra-strong uncertainty principles in relation to phase derivative for signals in Euclidean spaces
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