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Advantages of nonuniform arrays using root-MUSIC

Authors: Carine El Kassis; José Picheral; Chafic Mokbel;

Advantages of nonuniform arrays using root-MUSIC

Abstract

In this paper, we consider the Direction-Of-Arrival (DOA) estimation problem in the Nonuniform Linear Arrays (NLA) case, particularly the arrays with missing sensors. We show that the root-MUSIC algorithm can be directly applied to this case and that it can fully exploit the advantages of using an NLA instead of a Uniform Linear Array (ULA). Using theoretical analysis and simulations, we demonstrate that employing an NLA with the same number of sensors as the ULA, yields better performance. Moreover, reducing the number of sensors while keeping the same array aperture as the ULA slightly modifies the Mean Square Error (MSE). Therefore, thanks to the NLA, it is possible to maintain a good resolution while decreasing the number of sensors. We also show that root-MUSIC presents good performance and is one of the simplest high resolution methods for this type of arrays. Closed-form expressions of the estimator variance and the Cramer–Rao Bound (CRB) are derived in order to support our simulation results. In addition, the analytical expression of the CRB of the NLA to the CRB of the ULA ratio is calculated in order to show the advantages of the NLA.

Country
France
Related Organizations
Keywords

Signal theory (characterization, reconstruction, filtering, etc.), direction of arrival estimation, Estimation and detection in stochastic control theory, root-MUSIC, [INFO.INFO-TS] Computer Science [cs]/Signal and Image Processing, nonuniformly spaced arrays, [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing, antenna arrays, Antenna arrays Nonuniformly spaced arrays Direction of arrival estimation Root-MUSIC Sparse array, [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing, sparse array, [SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processing

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
39
Top 10%
Top 10%
Top 10%
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bronze