Rational modeling and linear prediction of random fields

An approach to the two-dimensional spectrum estimation problem is proposed that is based upon modeling a random field as the output of a rational linear system driven by the innovations of the field. A variety of linear prediction problems, each depending upon the definition of past, may be formulated for random fields; consequently, there are an equal number of innovations representation models. For the rational modeling application, a good innovations representation model should provide a finite parametrization of the spectrum estimation problem; therefore, the model should be a rational linear system when the spectrum of the random field is itself rational.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical and Computer Engineering

Grantor

University of Illinois at Urbana-Champaign

Date dc:date

10000-01-01

Author dc:creator

• Krogmeier, James Vincent

Contributors dc:contributor

• Arun, K.S.

• Engineering, Electronics and Electrical

Statement dc:rights

• Copyright 1990 Krogmeier, James Vincent

Language dc:language

eng

Identifier

AAI9026236
(UMI)AAI9026236

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/23374