Geometry of Random Sparse Arrays

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Journal Title
Journal ISSN
Volume Title
Conference article in proceedings
Date
2023-03-07
Major/Subject
Mcode
Degree programme
Language
en
Pages
5
476-480
Series
56th Asilomar Conference on Signals, Systems and Computers, ACSSC 2022, Conference Record - Asilomar Conference on Signals, Systems and Computers, Volume 2022-October
Abstract
We consider random sparse arrays whose sensors are randomly placed on a grid of fixed size. Although deterministic sparse array geometries such as nested, coprime and their many variants have been extensively studied, less is known about difference/sum sets of random arrays. In this work, we analytically characterize the size of the contiguous segment of the so-called difference coarray of random sparse arrays. The difference coarray determines fundamental performance limits of sparse arrays and is therefore an essential object of study. Moreover, a large contiguous coarray is usually desired to guarantee unambiguous identification of many signal sources. We show that i.i.d. sampling schemes can be inadequate for guaranteeing a large contiguous coarray with high probability. Instead, one needs to design alternative random sampling schemes. We propose such a scheme and verify numerically that it yields random arrays with a difference coarray whose contiguous segment scales super-linearly with the expected number of sensors.
Description
Funding Information: This work was supported in part by grants ONR N00014-19-1-2256, ONR N00014-19-1-2227 and DE-SC0022165, as well as the Finnish Defense Research Agency and the Ulla Tuominen foundation. Publisher Copyright: © 2022 IEEE.
Keywords
Difference Coarray, Random Arrays, Sparse Arrays, Tapering
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Citation
Hücümcnoglu , M C , Rajamäki , R & Pal , P 2023 , Geometry of Random Sparse Arrays . in M B Matthews (ed.) , 56th Asilomar Conference on Signals, Systems and Computers, ACSSC 2022 . Conference Record - Asilomar Conference on Signals, Systems and Computers , vol. 2022-October , IEEE , pp. 476-480 , Asilomar Conference on Signals, Systems, and Computers , Virtual, Online , United States , 31/10/2022 . https://doi.org/10.1109/IEEECONF56349.2022.10051973