An asymptotic sampling recomposition theorem for Gaussian signals

DOI10.1007/S00009-010-0076-6zbMath1232.41036OpenAlexW1991141457MaRDI QIDQ644593

Miguel A. López, Almudena Antuña, Juan Luis García Guirao

Publication date: 4 November 2011

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0076-6

zbMATH Keywords

band-limited signalapproximation theoryShannon's sampling theorem

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Sampling theory in information and communication theory (94A20)

Related Items (4)

On the perturbations of maps obeying Shannon-Whittaker-Kotel'nikov's theorem generalization ⋮ Shannon-Whittaker-Kotel'nikov's theorem generalized revisited ⋮ Dynamics of pseudo-radioactive chemical products via sampling theory ⋮ Decomposition of pseudo-radioactive chemical products with a mathematical approach

Cites Work

• Approximation of continuous and discontinuous functions by generalized sampling series
• Summation formulas and band-limited signals
• Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview
• A new series for approximating Voigt functions
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
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