Random fields estimation theory
type: Item
instance of: scholarly article
title: Random fields estimation theory
zbMATH Open document ID: 0705.62091
DOI: 10.1016/0895-7177(90)90056-S
published in: Mathematical and Computer Modelling
publication date: 1990-01-01T00:00:00Z
review text: The theory developed here is a natural generalization of the Wiener filtering theory to the case of random fields. The work deals with the analytic theory of random fields estimation within the framework of covariance theory. The only information used is the knowledge of the covariance function. Under some assumptions on covariance functions an analytic theory of random fields estimation is developed. Qualitative properties of the solutions are obtained and robustness of the estimates is established. Numerical methods for computing the singular solution are given. The results can be used in signal and image processing in TV, underwater acoustics, geophysics, optics etc.
Mathematics Subject Classification ID: 62M40
Mathematics Subject Classification ID: 60G60
zbMATH DE Number: 4157737
zbMATH Keywords: elliptic operators
zbMATH Keywords: generalization of the Wiener filtering theory
zbMATH Keywords: covariance function
zbMATH Keywords: analytic theory of random fields estimation
zbMATH Keywords: robustness
author: A. G. Ramm
MaRDI profile type: Publication
cites work: Q3996246
cites work: Q3935962
cites work: Q3326538
cites work: Q3073613
cites work: Q3963801
cites work: A view of three decades of linear filtering theory
cites work: Numerical solution of integral equations in a space of distributions
cites work: Q3905908
full work available at URL: 0895-7177(90)90056-s
OpenAlex ID: W4212993914
description: scientific article; zbMATH DE number 4157737