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Asymptotic Results for a Sensor Array Processing
Stanford University, CA, USA.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1989 (English)Report (Other academic)
Abstract [en]

The emphasis of this study is on direction-of-arrival (DOA) estimation of narrowband emitter signals. There are two main signal models that have been used in the sensor array problem, namely, stochastic and deterministic. A discussion is presented of the models, their effect on the Cramer-Rao lower bounds (CRB), cases where the maximum likelihood (ML) estimator asymptotically achieves this bound, and how the bounds are related. It is shown that the asymptotic variance of the ML method based on the stochastic model is lower than that of the ML method based on the deterministic model. The stochastic ML variance and CRB are based on the assumption of Gaussian emitter signals, which can be an unrealistic assumption when narrowband signals are assumed. The authors show that the ML estimator based on the Gaussian signal model achieves the stochastic CRB asymptotically, regardless of the signal distribution. Numerical evaluations of the theoretical variances for different scenarios are presented to clarify the relationship between the methods and bounds discussed.

Place, publisher, year, edition, pages
Linköping: Linköping University , 1989. , 4 p.
LiTH-ISY-I, ISSN 8765-4321 ; 973
Keyword [en]
Detectors, Signal detection, Signal processing, Stochastic processes
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-104079OAI: diva2:694527
Available from: 2014-02-06 Created: 2014-02-06 Last updated: 2014-02-06

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Ljung, Lennart
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Automatic ControlThe Institute of Technology
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