Reference : An Asymptotically Efficient Weighted Least Squares Estimator for Co-Array-Based DoA E...

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Electrical & electronics engineering
	To cite this reference:	http://hdl.handle.net/10993/40949

Title :	An Asymptotically Efficient Weighted Least Squares Estimator for Co-Array-Based DoA Estimation
Language :	English
Author, co-author :	Sedighi, Saeid [University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > >]
	Shankar, Bhavani [University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > >]
	Ottersten, Björn [University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > >]
Publication date :	2019
Journal title :	IEEE Transactions on Signal Processing
Publisher :	Institute of Electrical and Electronics Engineers
Peer reviewed :	Yes
Audience :	International
ISSN :	1053-587X
Country :	United States
Keywords :	[en] Sparse linear arrays ; directions of arrival estimation ; Cramer-Rao bound (CRB)
Abstract :	[en] Co-array-based Direction of Arrival (DoA) estimation using Sparse Linear Arrays (SLAs) has recently gained considerable interest in array processing thanks to its capability of providing enhanced degrees of freedom. Although the literature presents a variety of estimators in this context, none of them are proven to be statistically efficient. This work introduces a novel estimator for the co-array-based DoA estimation employing the Weighted Least Squares (WLS) method. An analytical expression for the large sample performance of the proposed estimator is derived. Then, an optimal weighting is obtained so that the asymptotic performance of the proposed WLS estimator coincides with the Cram\'{e}r-Rao Bound (CRB), thereby ensuring asymptotic statistical efficiency of resulting WLS estimator. This implies that the proposed WLS estimator has a significantly better performance compared to existing methods. Numerical simulations are provided to validate the analytical derivations and corroborate the improved performance.
Research centres :	Interdisciplinary Centre for Security, Reliability and Trust (SnT) > SIGCOM
Funders :	Fonds National de la Recherche - FnR
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/40949

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