Truncation, amplitude, and jitter errors on \(\mathbb R\) for sampling series derivatives

DOI10.1016/j.jat.2010.10.001zbMath1213.41016OpenAlexW2070213643MaRDI QIDQ630499

Mahmoud H. Annaby, Rashad M. Asharabi

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.jat.2010.10.001

zbMATH Keywords

samplingtruncation errorjitter error

Mathematics Subject Classification ID

Sampling theory in information and communication theory (94A20) Approximation by arbitrary linear expressions (41A45)

Related Items (11)

A sinc-method computation for eigenvalues of Schrödinger operators with eigenparameter-dependent boundary conditions ⋮ Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual ⋮ Double sampling derivatives and truncation error estimates ⋮ Bounds for truncation and perturbation errors of nonuniform sampling series ⋮ Hermite interpolation theorems for band-limited functions of the linear canonical transforms with equidistant samples ⋮ Error analysis for regularized multidimensional sampling expansions ⋮ A bivariate sampling series involving mixed partial derivatives ⋮ Truncation error estimates for generalized Hermite sampling ⋮ On the computation of the eigenvalues of Dirac systems ⋮ Sinc-Gaussian Approach for Solving the Inverse Heat Conduction Problem ⋮ An Overview of the Computation of the Eigenvalues Using Sinc-Methods

Cites Work

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• The sampling theorem and linear prediction in signal analysis
• On approximation by the interpolating series of G. Valiron
• Truncation error for the generalized Bessel type sampling series
• Classical Fourier transforms
• Uniform bounds for sampling expansions.
• Eigenvalue and eigenfunction asymptotics for regular Sturm-Liouville problems
• Sampling and Eigenvalues of Non-Self-Adjoint Sturm--Liouville Problems
• Approximating eigenvalues of discontinuous problems by sampling theorems
• Signal Sampling and Recovery Under Dependent Errors
• On Sinc-Based Method in Computing Eigenvalues of Boundary-Value Problems
• Magnitude of the truncation error in sampling expansions of band-limited signals
• Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
• Truncation error bounds for the cardinal sampling expansion of band-limited signals
• Bounds for truncation error in sampling expansions of finite energy band-limited signals (Corresp.)
• On the truncation error of the cardinal sampling expansion
• Eigenvalues of periodic Sturm-Liouville problems by the Shannon-Whittaker sampling theorem
• Bounds for truncation error in sampling expansions of band-limited signals
• Bounds for Truncation Error of the Sampling Expansion

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