On the parameter estimation of the harmonic, evanescent and purely indeterministic components of homogeneous random fields

Joseph M. Francos, Diego P. De Garrido, John W. Woods

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

The paper presents a maximum-likelihood estimation procedure for the parameters of homogeneous random fields. On the basis of a 2-D Wold-like decomposition, the random field is decomposed into a sum of mutually orthogonal components of three types: purely indeterministic, harmonic, and generalized-evanescent. Since in general, a homogeneous random field is characterized by a mixed spectral distribution, parameter estimation techniques which are solely based on spectral density estimators are not adequate. We present here an algorithm which results in a complete parameter estimation for the purely indeterministic and harmonic components of the homogeneous random field and in estimates for the evanescent component frequencies. The new ML method produces highly accurate estimates of these parameters.

Original languageEnglish
Title of host publicationICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing
PublisherInstitute of Electrical and Electronics Engineers
Pages41-44
Number of pages4
ISBN (Electronic)0780305329
DOIs
StatePublished - 1 Jan 1992
Externally publishedYes
Event1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992 - San Francisco, United States
Duration: 23 Mar 199226 Mar 1992

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume3
ISSN (Print)1520-6149

Conference

Conference1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992
Country/TerritoryUnited States
CitySan Francisco
Period23/03/9226/03/92

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering

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