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Coprime coarray interpolation for DOA estimation via nuclear norm minimization

Liu, Chun-Lin and Vaidyanathan, P. P. and Pal, Piya (2016) Coprime coarray interpolation for DOA estimation via nuclear norm minimization. In: 2016 IEEE International Symposium on Circuits and Systems (ISCAS). IEEE , Piscataway, NJ, pp. 2639-2642. ISBN 978-1-4799-5341-7.

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Coprime arrays, consisting of two uniform linear arrays whose inter-element separations are coprime, can resolve O(MN) sources using only O(M + N) sensors. However, holes in the coarray prevent us from using the full coarray in the MUSIC algorithm for DOA estimation. Through interpolation, it may be possible to use the remaining elements of the coarray to increase the degrees of freedom beyond what is captured in the contiguous ULA section in the coarray. Techniques like positive definite Toeplitz completion, array interpolation, and sparse recovery, manage to include all the information in the coarray, but they demand extra fine-tuned parameters and have individual drawbacks. In this paper, a simple and tractable convex framework via nuclear norm minimization is presented. This approach has no extra tuning parameters and overcomes several undesired issues of other techniques. Numerical examples indicate that, in many instances, the proposed method not only increases the estimation accuracy but also distinguishes more sources than other methods.

Item Type:Book Section
Related URLs:
URLURL TypeDescription DOIArticle
Liu, Chun-Lin0000-0003-3135-9684
Vaidyanathan, P. P.0000-0003-3003-7042
Additional Information:© 2016 IEEE. This work was supported in parts by the ONR grants N00014-11-1-0676 and N00014-15-1-2118, the California Institute of Technology, and the University of Maryland.
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-11-1-0676
Office of Naval Research (ONR)N00014-15-1-2118
University of MarylandUNSPECIFIED
Subject Keywords:Coprime sensor arrays, DOA estimation, nuclear norm, interpolation
Record Number:CaltechAUTHORS:20160823-094540045
Persistent URL:
Official Citation:C. L. Liu, P. P. Vaidyanathan and P. Pal, "Coprime coarray interpolation for DOA estimation via nuclear norm minimization," 2016 IEEE International Symposium on Circuits and Systems (ISCAS), Montr¿¿al, QC, Canada, 2016, pp. 2639-2642. doi: 10.1109/ISCAS.2016.7539135 URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:69847
Deposited By: Tony Diaz
Deposited On:23 Aug 2016 17:27
Last Modified:11 Nov 2021 04:20

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