A direct interpolation method for irregular sampling

zbMath0957.42024MaRDI QIDQ1818576

Kristian Seip, Kristin M. Flornes, Yurij I. Lyubarskij

Publication date: 7 March 2001

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

zbMATH Keywords

interpolationband-limited functionsreconstruction algorithmirregular samplinganharmonic Fourier series

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Trigonometric interpolation (42A15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Interpolation in approximation theory (41A05)

Related Items

Convergence and Regularization of Sampling Series ⋮ Localization operator based on sampling multipliers ⋮ On multivariable Plancherel-Pólya inequality and truncation error upper bounds in irregular sampling ⋮ Gaussian regularized periodic nonuniform sampling series ⋮ Sharp exponential bounds for the Gaussian regularized Whittaker-Kotelnikov-Shannon sampling series ⋮ Convergence behavior of non-equidistant sampling series ⋮ Numerical analysis of non-uniform sampling problem

Cites Work

• The sampling theorem and linear prediction in signal analysis
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• On the connection between exponential bases and certain related sequences in \(L^ 2 (-\pi, \pi)\)
• A Class of Nonharmonic Fourier Series
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