A sampling theorem for non-bandlimited signals using generalized sinc functions

DOI10.1016/J.CAMWA.2008.03.021zbMath1155.94359OpenAlexW1966345358MaRDI QIDQ1004858

Yi Wang, Yan-Bo Wang, Qiu-hui Chen

Publication date: 12 March 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.03.021

zbMATH Keywords

sampling theoremanalytic extensiongeneralized sinc functionnon-bandlimited signalsladder shaped filter of two parameters

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Sampling theory in information and communication theory (94A20)

Related Items (12)

Shannon-type sampling for multivariate non-bandlimited signals ⋮ The construction of generalized B-spline low-pass filters related to possibility density ⋮ Robust multiscale analytic sampling approximation to periodic function and fast algorithm ⋮ Multiwavelet sampling theorem in Sobolev spaces ⋮ B-splines of Blaschke product type ⋮ Reconstruction of spline spectra-signals from generalized sinc function by finitely many samples ⋮ FUNCTIONS WITH SPLINE SPECTRA AND THEIR APPLICATIONS ⋮ Sampling error analysis and some properties of non-bandlimited signals that are reconstructed by generalized sinc functions ⋮ A regularized sampling algorithm for reconstructing non-bandlimited signals ⋮ 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 ⋮ ANALYTIC SAMPLING APPROXIMATION BY PROJECTION OPERATOR WITH APPLICATION IN DECOMPOSITION OF INSTANTANEOUS FREQUENCY

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