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Rank Properties of Manifold Matrices of Sparse Arrays

Chen, Po-Chih and Vaidyanathan, P. P. (2021) Rank Properties of Manifold Matrices of Sparse Arrays. In: 2021 55th Asilomar Conference on Signals, Systems, and Computers. IEEE , Piscataway, NJ, pp. 1628-1633. ISBN 978-1-6654-5828-3.

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It is well known that the manifold matrix of a sensor array has to satisfy certain rank conditions in order for certain algorithms such as MUSIC and ESPRIT to work without creating ambiguity. For the case of sparse arrays this condition is often not satisfied, although there exist some sparse arrays which satisfy them. This paper develops the constraints on the sensor locations which allow such conditions to be satisfied. After a number of examples to develop insights, two results are given: one is a necessary and sufficient condition for two specific cases and the other is a necessary condition for the general case. The necessary condition for the general case reduces to the necessary and sufficient condition in the two specific cases. In order for sparse arrays to satisfy these conditions, it is not required that there be a uniform linear subarray with more sensors than sources.

Item Type:Book Section
Related URLs:
URLURL TypeDescription
Chen, Po-Chih0000-0003-1637-9329
Vaidyanathan, P. P.0000-0003-3003-7042
Additional Information:© 2021 IEEE. This work was supported by the Office of Naval Research grant N00014-21-1-2521, and the California Institute of Technology
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-21-1-2521
Subject Keywords:Ambiguities, DOA estimation, ESPRIT, MUSIC, sparse arrays
Record Number:CaltechAUTHORS:20220317-376205000
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Official Citation:P. -C. Chen and P. P. Vaidyanathan, "Rank Properties of Manifold Matrices of Sparse Arrays," 2021 55th Asilomar Conference on Signals, Systems, and Computers, 2021, pp. 1628-1633, doi: 10.1109/IEEECONF53345.2021.9723150
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:113938
Deposited By: George Porter
Deposited On:18 Mar 2022 21:05
Last Modified:18 Mar 2022 21:05

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