Sampling theorem and multi-scale spectrum based on non-linear Fourier atoms

DOI10.1080/00036810903042240zbMath1171.94331OpenAlexW2051221479WikidataQ58254086 ScholiaQ58254086MaRDI QIDQ3396368

Tao Qian, Qiu-hui Chen

Publication date: 18 September 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810903042240

zbMATH Keywords

sinc functionShannon samplingMoebius transformFourier atoms

Mathematics Subject Classification ID

Sampling theory in information and communication theory (94A20)

Related Items (8)

The Bedrosian identity for functions analytic in a neighborhood of the unit circle ⋮ Shannon-type sampling for multivariate non-bandlimited signals ⋮ The construction of generalized B-spline low-pass filters related to possibility density ⋮ B-splines of Blaschke product type ⋮ Reconstruction of spline spectra-signals from generalized sinc function by finitely many samples ⋮ Sampling error analysis and some properties of non-bandlimited signals that are reconstructed by generalized sinc functions ⋮ Sampling approximation by framelets in Sobolev space and its application in modifying interpolating error ⋮ New sampling formulae for non-bandlimited signals associated with linear canonical transform and nonlinear Fourier atoms

Cites Work

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• Analytic unit quadrature signals with nonlinear phase
• A B-spline approach for empirical mode decompositions
• Two families of unit analytic signals with nonlinear phase
• \(H^p\) spaces of several variables
• Analytic signals and harmonic measures
• Characterization of boundary values of functions in Hardy spaces with applications in signal analysis
• Ten Lectures on Wavelets
• The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis

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