Estimation near "Zero Information" points: Angle-of-arrival near the endfire

Eran Bashan; Anthony J. Weiss; Yaakov Bar-Shalom

doi:10.1109/TAES.2007.4441737

Estimation near "Zero Information" points: Angle-of-arrival near the endfire

Eran Bashan^*
, Anthony J. Weiss
, Yaakov Bar-Shalom

^*Corresponding author for this work

Department of Electrical Engineering - Systems

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We examine large-sample properties of the maximumlikelihood estimator (MLE) in the vicinity of points where the Fisher information measure (FIM) equals zero. Under mild regularity conditions the MLE is asymptotically efficient and therefore lower bounded by the Cramér-Rao lower bound (CRLB) [5], which diverges for such points. When a linear sensor array is used for angle-of-arrival (AOA) estimation, the CRLB diverges as the AOA approaches π/2. We provide new results characterizing the MLE performance in the AOA problem.

Original language	English
Pages (from-to)	1250-1264
Number of pages	15
Journal	IEEE Transactions on Aerospace and Electronic Systems
Volume	43
Issue number	4
DOIs	https://doi.org/10.1109/TAES.2007.4441737
State	Published - Oct 2007

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abstract = "We examine large-sample properties of the maximumlikelihood estimator (MLE) in the vicinity of points where the Fisher information measure (FIM) equals zero. Under mild regularity conditions the MLE is asymptotically efficient and therefore lower bounded by the Cram{\'e}r-Rao lower bound (CRLB) [5], which diverges for such points. When a linear sensor array is used for angle-of-arrival (AOA) estimation, the CRLB diverges as the AOA approaches π/2. We provide new results characterizing the MLE performance in the AOA problem.",

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AB - We examine large-sample properties of the maximumlikelihood estimator (MLE) in the vicinity of points where the Fisher information measure (FIM) equals zero. Under mild regularity conditions the MLE is asymptotically efficient and therefore lower bounded by the Cramér-Rao lower bound (CRLB) [5], which diverges for such points. When a linear sensor array is used for angle-of-arrival (AOA) estimation, the CRLB diverges as the AOA approaches π/2. We provide new results characterizing the MLE performance in the AOA problem.

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JO - IEEE Transactions on Aerospace and Electronic Systems

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IS - 4

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Estimation near "Zero Information" points: Angle-of-arrival near the endfire

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