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Comparison of Sparse Arrays From Viewpoint of Coarray Stability and Robustness

Liu, Chun-Lin and Vaidyanathan, P. P. (2018) Comparison of Sparse Arrays From Viewpoint of Coarray Stability and Robustness. In: 2018 IEEE 10th Sensor Array and Multichannel Signal Processing Workshop (SAM). IEEE , Piscataway, NJ, pp. 36-40. ISBN 978-1-5386-4752-3. http://resolver.caltech.edu/CaltechAUTHORS:20180906-142258359

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Abstract

Sparse arrays, such as minimum redundancy arrays (MRA), nested arrays, and coprime arrays, can resolve O(N^2), uncorrelated sources with N physical sensors, since they possess an O(N2) -long uniform segment in the difference coarray, which is defined as the differences between sensor locations. Empirically, this O(N^2), property is susceptible to sensor failures. On the other hand, uniform linear arrays (ULA) are known to be robust, but they possess only O(N) elements in the difference coarray. This paper compares the size and the robustness of the difference coarray for a wide variety of array geometries. It is observed from numerical examples that, for a fixed N, increasing the size of the difference coarray typically makes it less robust to faulty sensors. Furthermore, it is noticed from examples that given two arrays with the same N and the same difference coarray, one could be much more robust than the other.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/SAM.2018.8448465DOIArticle
https://ieeexplore.ieee.org/document/8448465PublisherArticle
Additional Information:© 2018 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.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-15-1-2118
Office of Naval Research (ONR)N00014-17-1-2732
NSFCCF-1712633
CaltechUNSPECIFIED
Record Number:CaltechAUTHORS:20180906-142258359
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180906-142258359
Official Citation:C. Liu and P. P. Vaidyanathan, "Comparison of Sparse Arrays From Viewpoint of Coarray Stability and Robustness," 2018 IEEE 10th Sensor Array and Multichannel Signal Processing Workshop (SAM), Sheffield, South Yorkshire, United Kingdom, 2018, pp. 36-40. doi: 10.1109/SAM.2018.8448465
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:89427
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:07 Sep 2018 00:01
Last Modified:07 Sep 2018 00:01

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