Underdetermined DOA estimation using arbitrary planar arrays via coarray manifold separation

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dc.contributor.author Yadav, Shekhar Kumar
dc.contributor.author George, Nithin V.
dc.coverage.spatial IEEE Transactions on Vehicular Technology
dc.date.accessioned 2022-08-02T14:47:38Z
dc.date.available 2022-08-02T14:47:38Z
dc.date.issued 2022-07
dc.identifier.citation Yadav, Shekhar Kumar and George, Nithin V., �Underdetermined DOA estimation using arbitrary planar arrays via coarray manifold separation�, IEEE Transactions on Vehicular Technology, DOI: 10.1109/TVT.2022.3194409, pp. 1-13, Jul. 2022. en_US
dc.identifier.issn 0018-9545
dc.identifier.issn 1939-9359
dc.identifier.uri https://doi.org/10.1109/TVT.2022.3194409
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/7952
dc.description.abstract Conventional direction-of-arrival (DOA) estimation algorithms like MUSIC only allow localization of fewer number of sources than the number of physical sensors. In this paper, underdetermined azimuth localization (localizing more sources than the number of sensors) using arbitrary planar arrays has been proposed, using only second-order statistics of the received data. To achieve this, we utilize the difference coarray of the actual array and express the elements of the array covariance matrix as the signal received by the virtual sensors of the coarray. We explore the structure and geometry of the difference coarray of an N-element planar array and show that the coarray can provide an increased degree-of-freedom (DOF) of O(N2) which enables underdetermined localization. Then, we extend the manifold separation (MS) technique to the coarray to expresses the coarray steering matrix in terms of a Vandermonde structured matrix by designing a signal independent coarray characteristic matrix. As the signal model of a coarray is a single snapshot model, the Vandermonde structure enables us to perform a spatial smoothing type operation to restore the rank of the coarray covariance matrix. This allows us to propose a novel subspace-based algorithm, which we call the coarrayMS-MUSIC, to perform underdetermined source localization using arbitrary planar arrays. We have also introduced the polynomial rooting version of our algorithm called the coarrayMS-rootMUSIC. Finally, we have conducted extensive numerical simulations to verify the effectiveness and usefulness of the proposed methods.
dc.description.statementofresponsibility by Shekhar Kumar Yadav and Nithin V. George
dc.language.iso en_US en_US
dc.publisher Institute of Electrical and Electronics Engineers en_US
dc.subject Planar Arrays en_US
dc.subject DOA estimation en_US
dc.subject Difference coarray en_US
dc.subject Manifold separation en_US
dc.subject MUSIC en_US
dc.title Underdetermined DOA estimation using arbitrary planar arrays via coarray manifold separation en_US
dc.type Article en_US
dc.relation.journal IEEE Transactions on Vehicular Technology

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