Prediction of Non-Bandlimited Signals from Past Samples in Terms of Splines of Low Degree

DOI10.1002/mana.19871320109zbMath0627.94003OpenAlexW1990457693MaRDI QIDQ3764036

Rudolf L. Stens, Paul L. Butzer

Publication date: 1987

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19871320109

zbMATH Keywords

splinesround-off errorrandom signalsnon-bandlimited signal functionsprediction from past samplestime jitter errorsweak sense stationary random processes

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Spline approximation (41A15) Prediction theory (aspects of stochastic processes) (60G25) Communication theory (94A05)

Related Items (10)

Approximation by sampling type discrete operators ⋮ On linear combinations of multivariate generalized sampling type series ⋮ A generalization of the exponential sampling series and its approximation properties ⋮ Approximation by pseudo-linear discrete operators ⋮ Reconstruction of signals inL^p(ℝ)-space by generalized sampling series based on linear combinations ofB-splines† ⋮ Bivariate Generalized Exponential Sampling Series and Applications to Seismic Waves ⋮ An appreciation of Paul Butzer's work in signal theory ⋮ Exponential sampling series: convergence in Mellin-Lebesgue spaces ⋮ Quantitative Voronovskaja formulae for generalized Durrmeyer sampling type series ⋮ An application of a general sampling theorem

Cites Work

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• Approximation of continuous and discontinuous functions by generalized sampling series
• Uniform linear prediction of bandlimited processes from past samples (Corresp.)

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