NDLI: Modified Subspace Algorithms for DoA Estimation With Large Arrays

Content Provider	IEEE Xplore Digital Library
Author	Mestre, X. Lagunas, M.A.
Copyright Year	1991
Abstract	This paper proposes the use of a new generalized asymptotic paradigm in order to analyze the performance of subspace-based direction-of-arrival (DoA) estimation in array signal processing applications. Instead of assuming that the number of samples is high whereas the number of sensors/antennas remains fixed, the asymptotic situation analyzed herein assumes that both quantities tend to infinity at the same rate. This asymptotic situation provides a more accurate description of a potential situation where these two quantities are finite and hence comparable in magnitude. It is first shown that both MUSIC and SSMUSIC are inconsistent when the number of antennas/sensors increases without bound at the same rate as the sample size. This is done by analyzing and deriving closed-form expressions for the two corresponding asymptotic cost functions. By examining these asymptotic cost functions, one can establish the minimum number of samples per antenna needed to resolve closely spaced sources in this asymptotic regime. Next, two alternative estimators are constructed, that are strongly consistent in the new asymptotic situation, i.e., they provide consistent DoA estimates, not only when the number of snapshots goes to infinity, but also when the number of sensors/antennas increases without bound at the same rate. These estimators are inspired by the theory of G-estimation and are therefore referred to as G-MUSIC and G-SSMUSIC, respectively. Simulations show that the proposed algorithms outperform their traditional counterparts in finite sample-size situations, although they still present certain limitations.
Sponsorship	IEEE Signal Processing Society
Starting Page	598
Ending Page	614
Page Count	17
File Size	863905
File Format	PDF
ISSN	1053587X
Volume Number	56
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-02-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Direction of arrival estimation Signal processing algorithms Sensor arrays Array signal processing Multiple signal classification Signal to noise ratio Performance analysis H infinity control Cost function Antenna arrays SSMUSIC Direction-of-arrival (DoA) estimation G-estimation MUSIC random matrix theory
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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