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Estimation Accuracy of Maximum Likelihood Direction Finding using Large Arrays
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Royal Institute of Technology, Sweden.
Yale University, USA.
1991 (English)Report (Other academic)
Abstract [en]

The authors analyze the performance of methods for estimating the parameters of narrowband signals arriving at an array of sensors. The deterministic and stochastic maximum likelihood (ML) methods are considered. A performance analysis is carried out for a finite number of snapshots but assuming that the array is composed of a sufficiently large number, m, of sensors. Strong consistency of the parameter estimates is proved and the asymptotic covariance matrix of the estimation error is derived. Unlike the previously studied large (time) sample case, the present analysis shows that the accuracy is the same for the two ML methods. The covariance matrix of the estimation error attains the Cramer-Rao bound. For many array geometries of practical interest, the array propagation vectors become orthogonal as m as increased. It is shown that the traditional beamforming method provides consistent (but not necessarily efficient) estimates under the assumption. This is true also in the presence of perfectly correlated emitters.

Place, publisher, year, edition, pages
Linköping: Linköping University , 1991.
Series
LiTH-ISY-I, ISSN 8765-4321 ; 1303
Keyword [en]
Errors, Parameter estimation, Signal processing, Statistical analysis, Cramer-Rao bound
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-55489OAI: oai:DiVA.org:liu-55489DiVA: diva2:316114
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2013-07-29

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf