Some contributions on the characterization of one-dimensional spatial processes
type: Item
instance of: scholarly article
title: Some contributions on the characterization of one-dimensional spatial processes
zbMATH Open document ID: 0716.60033
DOI: 10.1016/0020-0255(90)90040-H
author: D. Kharzeev
published in: Information Sciences
publication date: 1990-01-01T00:00:00Z
review text: In spatial signal processing a two-sided impulse response often occurs, i.e. a process y(s) has the representation \[ y(s)=\int^{\infty}_{- \infty}I(u)z(s-u)du, \] where z(s) is a continuous white noise and I(u) is a two-sided impulse response (IR) function. Expressions for two-sided IR functions corresponding to various rational factorizations of the spectral density functions of continuous ARMA(p,q) models are derived in the paper. However, space dependent systems usually require the IR function to be continuous. With the restriction on the continuity of IR at the origin, some models (e.g. continuous AR(1) or ARMA(2,1) models) are found not to be admissible for representation of space series. Possible applications to discern directional properties of surface profiles are mentioned.
Mathematics Subject Classification ID: 60G10
Mathematics Subject Classification ID: 62M15
zbMATH DE Number: 4180420
zbMATH Keywords: spatial process
zbMATH Keywords: continuous ARMA model
zbMATH Keywords: signal processing
zbMATH Keywords: rational factorizations
zbMATH Keywords: directional properties of surface profiles
reviewed by: Tomáš Cipra
MaRDI profile type: Publication
cites work: Q3323077
cites work: Q4137964
cites work: Bayesian Methods in Nonlinear Digital Image Restoration
cites work: Q3899546
cites work: Q3849295
full work available at URL: 0020-0255(90)90040-h
OpenAlex ID: W2003793803
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description: scientific article; zbMATH DE number 4180420