ADAPTIVE DECOMPOSITION OF FUNCTIONS INTO PIECES OF NON-NEGATIVE INSTANTANEOUS FREQUENCIES

DOI10.1142/S0219691310003791zbMath1200.94026MaRDI QIDQ3161600

Ieng Tak Leong, Io-Tong Ho, Yan-Bo Wang, Tao Qian

Publication date: 15 October 2010

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

zbMATH Keywords

Hardy spaceHilbert transformFourier seriesinstantaneous frequencytime-frequency analysisFourier integralanalytic signalpositivity of frequency

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Application of orthogonal and other special functions (94A11) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (10)

BACK PROJECTION STRATEGY FOR SOLVING MODE MIXING PROBLEM ⋮ A DIRECT EVALUATION OF MONO-COMPONENTS BY INSTANTANEOUS FREQUENCY ⋮ Positive-instantaneous frequency and approximation ⋮ GENERALIZED PALEY–WIENER THEOREMS ⋮ Nonlinear phase unwinding of functions ⋮ Adaptive Fourier series---a variation of greedy algorithm ⋮ Applied harmonic analysis and data science. Abstracts from the workshop held November 28 -- December 4, 2021 (hybrid meeting) ⋮ A Theory on Non-Constant Frequency Decompositions and Applications ⋮ Mathematical theory of signal analysis vs. complex analysis method of harmonic analysis ⋮ Iterative variable-Blaschke factorization

Cites Work

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• Analytic unit quadrature signals with nonlinear phase
• The Bedrosian identity and homogeneous semi-convolution equations
• Analysis of the intrinsic mode functions
• Analytic signals and harmonic measures
• MONO-COMPONENTS VS IMFs IN SIGNAL DECOMPOSITION
• The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
• The Bedrosian identity for the Hilbert transform of product functions
• Mono‐components for decomposition of signals
• Bounded Analytic Functions
• STABILITY OF FRAMES GENERATED BY NONLINEAR FOURIER ATOMS

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