Geometry of Random Sparse Arrays

dc.contributorAalto Universityen
dc.contributor.authorHücümcnoglu, Mehmet Canen_US
dc.contributor.authorRajamäki, Robinen_US
dc.contributor.authorPal, Piyaen_US
dc.contributor.departmentUniversity of California San Diegoen_US
dc.contributor.departmentVisa Koivunen Groupen_US
dc.contributor.departmentDepartment of Information and Communications Engineeringen
dc.contributor.editorMatthews, Michael B.en_US
dc.descriptionFunding 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.
dc.description.abstractWe 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.en
dc.description.versionPeer revieweden
dc.identifier.citationHücümcnoglu , 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 .
dc.identifier.otherPURE UUID: 2ec07ee3-e6ed-4fbb-9ce6-a25c6403985ben_US
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dc.relation.ispartofAsilomar Conference on Signals, Systems, and Computersen
dc.relation.ispartofseries56th Asilomar Conference on Signals, Systems and Computers, ACSSC 2022en
dc.relation.ispartofseriesConference Record - Asilomar Conference on Signals, Systems and Computersen
dc.relation.ispartofseriesVolume 2022-Octoberen
dc.subject.keywordDifference Coarrayen_US
dc.subject.keywordRandom Arraysen_US
dc.subject.keywordSparse Arraysen_US
dc.titleGeometry of Random Sparse Arraysen
dc.typeConference article in proceedingsfi