On regularized Shannon sampling formulas with localized sampling

DOI10.1007/s43670-022-00039-1zbMath1504.94082arXiv2203.09973OpenAlexW4306403448MaRDI QIDQ2098300

Melanie Kircheis, Manfred Tasche, Daniel Potts

Publication date: 17 November 2022

Published in: Sampling Theory, Signal Processing, and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.09973

zbMATH Keywords

error estimateswindow functionsbandlimited functionnumerical robustnessWhittaker-Kotelnikov-Shannon sampling theoremregularized Shannon sampling formulas

Mathematics Subject Classification ID

Numerical methods for discrete and fast Fourier transforms (65T50) Sampling theory in information and communication theory (94A20) Coding theorems (Shannon theory) (94A24)

Cites Work

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• Complex analytic approach to the sinc-Gauss sampling formula
• Optimal learning of bandlimited functions from localized sampling
• Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order
• Numerical Fourier analysis
• Continuous window functions for NFFT
• Uniform error estimates for nonequispaced fast Fourier transforms
• Localized sampling in the presence of noise
• Convergence Analysis of the Gaussian Regularized Shannon Sampling Series
• Fast Reconstruction Methods for Bandlimited Functions from Periodic Nonuniform Sampling
• On the asymptotic convergence of B-spline wavelets to Gabor functions
• On the regularized Whittaker-Kotel’nikov-Shannon sampling formula
• [https://portal.mardi4nfdi.de/wiki/Publication:5524859 Evaluation of the Integral I n (b) = 2 π � ∞ 0 � � � sinx x � � � n   cos(bx) dx]
• Fourier Analysis

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