Necessary and sufficient conditions for the Bedrosian identity

DOI10.1216/JIE-2009-21-1-77zbMath1202.44004MaRDI QIDQ610934

Li-Hui Tan, Daren Huang, Lihua Yang

Publication date: 13 December 2010

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

Hilbert transformBedrosian identity

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (8)

Existence of the Bedrosian identity for Fourier multiplier operators ⋮ Best two‐parameter rational approximation algorithm of given order: a variation of adaptive Fourier decomposition ⋮ The Bedrosian identity for \(\mathbf H^p\) functions ⋮ Vakman's analysis inL²(ℝ) ⋮ Constructions of \(\epsilon\)-mono-components and mathematical analysis on signal decomposition algorithm ⋮ The circular Bedrosian identity for translation-invariant operators: existence and characterization ⋮ A distribution space for Hilbert transform and its applications ⋮ The Bedrosian identity for \(L^p\) function and the Hardy space on tube

Cites Work

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• Analytic unit quadrature signals with nonlinear phase
• The Bedrosian identity and homogeneous semi-convolution equations
• A B-spline approach for empirical mode decompositions
• Characterization of boundary values of functions in Hardy spaces with applications in signal analysis
• The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
• Piecewise linear spectral sequences
• The Bedrosian identity for the Hilbert transform of product functions

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