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A Grid-Less Approach to Underdetermined Direction of Arrival Estimation Via Low Rank Matrix Denoising

Pal, Piya and Vaidyanathan, P. P. (2014) A Grid-Less Approach to Underdetermined Direction of Arrival Estimation Via Low Rank Matrix Denoising. IEEE Signal Processing Letters, 21 (6). pp. 737-741. ISSN 1070-9908. http://resolver.caltech.edu/CaltechAUTHORS:20140529-140908437

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Abstract

The problem of direction of arrival (DOA) estimation of narrowband sources using an antenna array is considered where the number of sources can potentially exceed the number of sensors. In earlier works, the authors showed that using a suitable antenna geometry, such as the nested and coprime arrays, it is possible to localize O(M^2) sources using M sensors. To this end, two different approaches have been proposed. One is based on an extension of subspace based methods such as MUSIC to these sparse arrays, and the other employs l1 norm minimization based sparse estimation techniques by assuming an underlying grid. While the former requires the knowledge of number of sources, the latter suffers from basis mismatch effects. In this letter, a new approach is proposed which overcomes both these weaknesses. The method is hybrid in nature, using a low rank matrix denoising approach followed by a MUSIC-like subspace method to estimate the DOAs. The number of sources is revealed as a by-product of the low rank denoising stage. Moreover, it does not assume any underlying grid and thereby does not suffer from basis mismatch. Numerical examples validate the effectiveness of the proposed method when compared against existing techniques.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/LSP.2014.2314175DOIArticle
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6780606PublisherArticle
Additional Information:© 2014 IEEE. Manuscript received November 25, 2013; revised March 11, 2014; accepted March 17, 2014. Date of publication March 28, 2014; date of current version April 08, 2014. This work was supported in part by the ONR under Grant N00014-11-1-0676, the California Institute of Technology, and by the University of Maryland, College Park. The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Sascha Spors
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-11-1-0676
CaltechUNSPECIFIED
University of Maryland UNSPECIFIED
Subject Keywords:DOA estimation, low rank matrix recovery, music, nested and coprime arrays, nuclear norm minimization, super resolution.
Record Number:CaltechAUTHORS:20140529-140908437
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20140529-140908437
Official Citation:Pal, P.; Vaidyanathan, P.P., "A Grid-Less Approach to Underdetermined Direction of Arrival Estimation Via Low Rank Matrix Denoising," Signal Processing Letters, IEEE , vol.21, no.6, pp.737,741, June 2014 doi: 10.1109/LSP.2014.2314175
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:45980
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:29 May 2014 21:22
Last Modified:29 May 2014 21:22

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