Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals

DOI10.1109/TIT.2009.2034793zbMath1366.94216MaRDI QIDQ4976075

Carlo Bardaro, Rudolf L. Stens, Gianluca Vinti, Paul L. Butzer

Publication date: 27 July 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Sampling theory in information and communication theory (94A20)

Related Items (40)

Multidimensional Kantorovich modifications of exponential sampling series ⋮ Uniform approximation by multivariate quasi-projection operators ⋮ Approximation by sampling Kantorovich series in weighted spaces of functions ⋮ A strong converse inequality for generalized sampling operators ⋮ A general approximation approach for the simultaneous treatment of integral and discrete operators ⋮ Max-product neural network and quasi-interpolation operators activated by sigmoidal functions ⋮ Degree of Approximation for Nonlinear Multivariate Sampling Kantorovich Operators on Some Functions Spaces ⋮ Some applications of modular convergence in vector lattice setting ⋮ Quasi-projection operators in weighted \(L_p\) spaces ⋮ Approximation of discontinuous signals by sampling Kantorovich series ⋮ On linear combinations of multivariate generalized sampling type series ⋮ Approximation by periodic multivariate quasi-projection operators ⋮ On pointwise approximation properties of multivariate semi-discrete sampling type operators ⋮ A characterization of the rate of the simultaneous approximation by generalized sampling operators and their Kantorovich modification ⋮ Detection of thermal bridges from thermographic images by means of image processing approximation algorithms ⋮ L^pSpaces in vector lattices and applications ⋮ Approximation by truncated max-product sampling Kantorovich operators in \(L^p\) spaces ⋮ Convergence for a family of neural network operators in Orlicz spaces ⋮ Convergence in variation for the multidimensional generalized sampling series and applications to smoothing for digital image processing ⋮ Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces ⋮ Modular filter convergence theorems for abstract sampling type operators ⋮ Approximation by multivariate quasi-projection operators and Fourier multipliers ⋮ On a Durrmeyer-type modification of the exponential sampling series ⋮ Band-limited scaling and wavelet expansions ⋮ Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes ⋮ Rates of approximation for general sampling-type operators in the setting of filter convergence ⋮ Differential and falsified sampling expansions ⋮ Quasi-projection operators with applications to differential-difference expansions ⋮ Bivariate Generalized Exponential Sampling Series and Applications to Seismic Waves ⋮ An Inverse Result of Approximation by Sampling Kantorovich Series ⋮ Exponential sampling series: convergence in Mellin-Lebesgue spaces ⋮ Quantitative Voronovskaja formulae for generalized Durrmeyer sampling type series ⋮ A retrospective on research visits of Paul Butzer's Aachen research group to North America and Western Europe ⋮ Boundedness properties of semi-discrete sampling operators in Mellin-Lebesgue spaces ⋮ Generalized Sampling Approximation for Multivariate Discontinuous Signals and Applications to Image Processing ⋮ A general method to study the convergence of nonlinear operators in Orlicz spaces ⋮ On Approximation by Kantorovich Exponential Sampling Operators ⋮ Quantitative estimates for Durrmeyer-sampling series in Orlicz spaces ⋮ Multivariate sampling-type approximation ⋮ Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels

This page was built for publication: Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals