Magnitude of the truncation error in sampling expansions of band-limited signals

DOI10.1109/TASSP.1982.1163982zbMath0564.94004MaRDI QIDQ3679097

Ursula Scheben, Wolfgang Engels, Paul L. Butzer

Publication date: 1982

Published in: IEEE Transactions on Acoustics, Speech, and Signal Processing (Search for Journal in Brave)

zbMATH Keywords

Fourier transformsampling theoremdifferentiability conditions

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

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Bounds for truncation and perturbation errors of nonuniform sampling series ⋮ Kernel regression estimators for signal recovery ⋮ Truncation and aliasing errors for Whittaker-Kotelnikov-Shannon sampling expansion ⋮ Truncation, amplitude, and jitter errors on \(\mathbb R\) for sampling series derivatives ⋮ Nonparametric estimation of a class of smooth functions ⋮ 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 bounds for sampling expansions. ⋮ Uniform truncation error for Shannon sampling expansion from local averages

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