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Robustness of Coarrays of Sparse Arrays to Sensor Failures

Liu, Chun-Lin and Vaidyanathan, P. P. (2018) Robustness of Coarrays of Sparse Arrays to Sensor Failures. In: 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE , Piscataway, NJ, pp. 3231-3235. ISBN 978-1-5386-4658-8.

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Sparse arrays can identify O(N^2) uncorrelated sources using N physical sensors. This property is because the difference coarray, defined as the differences between sensor locations, has uniform linear array (ULA) segments of length O(N^2) . It is empirically known that, for sparse arrays like minimum redundancy arrays, nested arrays, and coprime arrays, this O(N^2) segment is susceptible to sensor failure, which is an important issue in practical systems. This paper presents the (k-)essentialness property, which characterizes the combinations of the failing sensors that shrink the difference coarray. Based on this, the notion of fragility is proposed to quantify the reliability of sparse arrays with faulty sensors, along with comprehensive studies of their properties. It is demonstrated through examples that there do exist sparse arrays that are as robust as ULA and at the same time, they enjoy O(N^2) consecutive elements in the difference coarray.

Item Type:Book Section
Related URLs:
URLURL TypeDescription
Liu, Chun-Lin0000-0003-3135-9684
Vaidyanathan, P. P.0000-0003-3003-7042
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.
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-15-1-2118
Office of Naval Research (ONR)N00014-17-1-2732
Subject Keywords:Sparse arrays, robustness, essentialness, fragility
Record Number:CaltechAUTHORS:20180920-112433763
Persistent URL:
Official Citation:C. Liu and P. P. Vaidyanathan, "Robustness of Coarrays of Sparse Arrays to Sensor Failures," 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Calgary, AB, Canada, 2018, pp. 3231-3235. doi: 10.1109/ICASSP.2018.8462643
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:89787
Deposited By: Tony Diaz
Deposited On:20 Sep 2018 18:32
Last Modified:09 Mar 2020 13:19

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