Uniform bounds for sampling expansions.

DOI10.1006/JATH.1996.3090zbMath1033.42007OpenAlexW2006044303MaRDI QIDQ1266114

Xin Min Li

Publication date: 12 December 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1996.3090

zbMATH Keywords

Fourier transformtruncation erroruniform boundsShannon sampling theorem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Sampling theory in information and communication theory (94A20)

Related Items (11)

Double sampling derivatives and truncation error estimates ⋮ Bounds for truncation and perturbation errors of nonuniform sampling series ⋮ Truncation and aliasing errors for Whittaker-Kotelnikov-Shannon sampling expansion ⋮ Truncation, amplitude, and jitter errors on \(\mathbb R\) for sampling series derivatives ⋮ Error analysis for regularized multidimensional sampling expansions ⋮ Universal truncation error upper bounds in irregular sampling restoration^† ⋮ Truncation error estimates for generalized Hermite sampling ⋮ Approximation of WKS Sampling Theorem on Random Signals ⋮ On truncation error bound for multidimensional sampling expansion laplace transform ⋮ Uniform bounds of aliasing and truncated errors in sampling series of functions from anisotropic Besov class ⋮ Uniform truncation error for Shannon sampling expansion from local averages

Cites Work

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• A Mathematical Theory of Communication
• On the error in reconstructing a non-bandlimited function by means of the bandpass sampling theorem
• On the implementation of the Shannon sampling series for band-limited signals (Corresp.)
• Magnitude of the truncation error in sampling expansions of band-limited signals
• Error estimates for sampling sums based on convolution integrals
• Truncation error bounds for the cardinal sampling expansion of band-limited signals
• Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview
• Bounds for truncation error in sampling expansions of finite energy band-limited signals (Corresp.)
• On the truncation error of the cardinal sampling expansion
• The Discrete Nature of the Paley-Wiener Spaces

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