NDLI: Conditional Cramér–Rao Lower Bounds for DOA Estimation and Array Calibration

Content Provider	IEEE Xplore Digital Library
Author	Zhang-Meng Liu
Copyright Year	1994
Abstract	This letter aims at deriving the Cramér-Rao lower bounds (CRLB) of the direction-of-arrival (DOA) estimation and array calibration precisions in the case of determined and unknown signals based on the assumptions of small array perturbations. The analysis begins with a comprehensive perturbed array output formulation, and it is effective for various kinds of perturbations, such as mutual coupling, gain/phase uncertainty and sensor location error. The CRLB of the DOA and array perturbation parameters are well separated from each other in the letter, which facilitates their usage in performance evaluation of the self-calibration methods. However, the CRLB are finally given in the form of the inverse of the corresponding Fisher information matrices (FIM) as the inversion process can hardly be implemented mathematically. Simulation results are provided to compare the obtained conditional CRLB with the parameter estimation precision of the maximum likelihood estimators (MLE) and the unconditional CRLB.
Sponsorship	IEEE Signal Processing Society
Starting Page	361
Ending Page	364
Page Count	4
File Size	1634546
File Format	PDF
ISSN	10709908
Volume Number	21
Issue Number	3
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Arrays Calibration Estimation Direction-of-arrival estimation Mutual coupling Uncertainty Vectors direction-of-arrival (DOA) estimation Array calibration Cramér–Rao lower bound (CRLB)
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Signal Processing Electrical and Electronic Engineering

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