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Composite Singer Arrays with Hole-free Coarrays and Enhanced Robustness

Liu, Chun-Lin and Vaidyanathan, P. P. (2019) Composite Singer Arrays with Hole-free Coarrays and Enhanced Robustness. In: 2019 IEEE International Conference on Acoustics, Speech and Signal Processing. IEEE , Piscataway, NJ, pp. 4120-4124. ISBN 978-1-5386-4658-8. https://resolver.caltech.edu/CaltechAUTHORS:20190424-103509340

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Abstract

In array processing, minimum redundancy arrays (MRA) can identify up to O(N^2) uncorrelated sources (the O(N^2) property) with N physical sensors, but this property is susceptible to sensor failures. On the other hand, uniform linear arrays (ULA) are robust, but they resolve only O(N) sources. Recently, the robust MRA (RMRA) was shown to possess the O(N^2) property and to be as robust as ULA. But finding RMRA is computationally difficult for large N. This paper proposes a novel array geometry called the composite Singer array, which is related to a classic paper by Singer in 1938, and to other results in number theory. For large N, composite Singer arrays could own the O(N^2) property and are as robust as ULA. Furthermore, the sensor locations for the composite Singer array can be readily computed by the proposed recursive procedure. These properties will also be demonstrated by using numerical examples.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/ICASSP.2019.8683563DOIArticle
ORCID:
AuthorORCID
Vaidyanathan, P. P.0000-0003-3003-7042
Additional Information:© 2019 IEEE. This work was supported in parts by the ONR grant N00014-18-1-2390, the NSF grant CCF-1712633, the California Institute of Technology, the Ministry of Education, Taiwan, R.O.C, under Yushan Young Scholar Program (Grant No. NTU-107V0902), and National Taiwan University.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-18-1-2390
NSFCCF-1712633
CaltechUNSPECIFIED
Ministry of Education (Taipei)NTU-107V0902
National Taiwan UniversityUNSPECIFIED
Subject Keywords:Sparse arrays, difference coarrays, robustness, Singer arrays, composite arrays
Record Number:CaltechAUTHORS:20190424-103509340
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190424-103509340
Official Citation:C. Liu and P. P. Vaidyanathan, "Composite Singer Arrays with Hole-free Coarrays and Enhanced Robustness," ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Brighton, United Kingdom, 2019, pp. 4120-4124. doi: 10.1109/ICASSP.2019.8683563
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:94930
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 Apr 2019 17:51
Last Modified:03 Oct 2019 21:08

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