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The role of difference coarrays in correlation subspaces

Liu, Chun-Lin and Vaidyanathan, P. P. (2017) The role of difference coarrays in correlation subspaces. In: 2017 51st Asilomar Conference on Signals, Systems, and Computers. IEEE , Piscataway, NJ, pp. 1173-1177. ISBN 978-1-5386-1823-3.

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The concept of correlation subspaces was recently introduced in array processing literature by Rahmani and Atia. Given a sensor array, its geometry determines the correlation subspace completely, and the covariance matrix of the array output is constrained in a certain way by the correlation subspace. It has been shown by Rahmani and Atia that this knowledge about the covariance constraint can be exploited to improve the performance of DOA estimators. In this paper, it is shown that there is a simple closed form expression for the basis vectors of the correlation subspace. Thus, computation of this subspace is greatly simplified. Another fundamental observation is that, this expression is closely related to the difference coarray. Thirdly, the paper also shows an interesting logical connection between correlation subspaces, redundancy averaging, and rectification, which are popularly used in DOA estimation.

Item Type:Book Section
Related URLs:
URLURL TypeDescription
Liu, Chun-Lin0000-0003-3135-9684
Vaidyanathan, P. P.0000-0003-3003-7042
Additional Information:© 2017 IEEE. This work was supported in parts by the ONR grants N00014-15-1-2118 and N00014-17-1-2732, the NSF grant CCF-1712633, and the California Institute of Technology.
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-15-1-2118
Office of Naval Research (ONR)N00014-17-1-2732
Subject Keywords:Correlation subspace, difference coarray, redundancy averaging, DOA estimation
Record Number:CaltechAUTHORS:20180419-095825149
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Official Citation:C. L. Liu and P. P. Vaidyanathan, "The role of difference coarrays in correlation subspaces," 2017 51st Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, USA, 2017, pp. 1173-1177. doi: 10.1109/ACSSC.2017.8335536. URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85972
Deposited By: Tony Diaz
Deposited On:19 Apr 2018 21:09
Last Modified:09 Mar 2020 13:19

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