Time shifted aliasing error upper bounds for truncated sampling cardinal series

DOI10.1016/j.jmaa.2005.12.008zbMath1105.94002OpenAlexW2014183783MaRDI QIDQ855637

Andrew Ya. Olenko, Tibor K. Pogány

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.12.008

zbMATH Keywords

Fourier transformupper boundasymptotic behaviourentire functionstruncation errorextremal functionaliasingsharp boundapproximation/interpolation error levelDirichlet lambda functionincomplete lambda functionmultidimensional samplingPlancherel--Pólya inequalityregular sampling theoremWhittaker-Kotel'nikov-Shannon sampling formula

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30) Sampling theory in information and communication theory (94A20)

Related Items (5)

Average Sampling Restoration of Harmonizable Processes ⋮ Whittaker-Kotel'nikov-Shannon approximation of \(\phi\)-sub-Gaussian random processes ⋮ On Generalized Derivative Sampling Series Expansion ⋮ On multivariable Plancherel-Pólya inequality and truncation error upper bounds in irregular sampling ⋮ Universal truncation error upper bounds in irregular sampling restoration^†

Cites Work

• The sampling theorem and linear prediction in signal analysis
• On the aliasing error upper bound for homogeneous random fields
• Estimation of energy aliasing error for nonbandlimited signals
• Whittaker-Kotelnikov-Shannon sampling theorem and aliasing error
• Two-channel perfect reconstruction FIR filter banks over commutative rings.
• On the error in reconstructing a non-bandlimited function by means of the bandpass sampling theorem
• Fonctions entières et intégrales de Fourier multiples. II
• The Shannon sampling theorem—Its various extensions and applications: A tutorial review
• Two Remarks on the Reconstruction of Sampled Non-Bandlimited Functions
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