Bounds for truncation and perturbation errors of nonuniform sampling series

DOI10.1007/s10543-015-0585-6zbMath1352.30026OpenAlexW2246652597MaRDI QIDQ329006

Rashad M. Asharabi, Mahmoud H. Annaby

Publication date: 21 October 2016

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-015-0585-6

zbMATH Keywords

entire functionsPalay-Wiener space

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by other special function classes (41A30) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (4)

Error analysis for regularized multidimensional sampling expansions ⋮ Unnamed Item ⋮ Truncation error estimates for generalized Hermite sampling ⋮ Gaussian regularized periodic nonuniform sampling series

Cites Work

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• Truncation, amplitude, and jitter errors on \(\mathbb R\) for sampling series derivatives
• The sinc method in multiple space dimensions: Model problems
• First applications of a formula for the error of finite sinc interpolation
• The sampling theorem and linear prediction in signal analysis
• Barycentric formulae for cardinal (sinc-) interpolants
• On approximation by the interpolating series of G. Valiron
• Explicit irregular sampling formulas
• Uniform bounds for sampling expansions.
• Magnitude of the truncation error in sampling expansions of band-limited signals
• Bounds for truncation error in sampling expansions of finite energy band-limited signals (Corresp.)
• Sampling and Sampling Rate Conversion of Band Limited Signals in the Fractional Fourier Transform Domain
• Nonuniform Sampling of Periodic Bandlimited Signals
• Bounds for truncation error in sampling expansions of band-limited signals
• Bounds for Truncation Error of the Sampling Expansion
• Remark: Barycentric formulae for cardinal (SINC-) interpolants by Jean-Paul Berrut

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