Underdetermined Direction-of-Arrival Estimation with Coprime Array via Atomic Norm Minimization

dc.contributor.authorPan, Yujian
dc.contributor.authorYao, Min
dc.contributor.authorLuo, Guo Qing
dc.contributor.authorPan, Bai Cao
dc.contributor.authorGao, Xiaoxin
dc.coverage.issue2cs
dc.coverage.volume29cs
dc.date.accessioned2020-10-09T10:59:15Z
dc.date.available2020-10-09T10:59:15Z
dc.date.issued2020-06cs
dc.description.abstractThe coprime array provides the possibility of resolving more signals than the sensors for the direction-of-arrival (DOA) estimation application. However, the non-consecution of its virtual array raises challenges for making full use of the degree of freedom (DOF). In this paper, we propose a new underdetermined DOA estimation method with coprime array where the non-consecutive virtual array can be converted into a virtual uniform linear array (ULA) with the same aperture. Firstly, all elements in the vectorized signal covariance matrix corresponding to the same virtual array positions are averaged to construct the output signals of the virtual array. Then, an atomic norm minimization (ANM) based optimization problem is formed for denoising the output signals of the virtual array and for interpolating the missing signals at the virtual array holes. At last, the ANM problem is solved by the semidefinite programming (SDP) and the DOAs are obtained by applying the subspace method on the reconstructed signal covariance matrix of the interpolated virtual ULA. The proposed algorithm is gridless and makes full use of the DOF and the information provided by the coprime array. The simulation results compared with the other representative methods are given to demonstrate the superiority of the proposed method with respect to the resolution and estimation accuracy.en
dc.formattextcs
dc.format.extent405-413cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationRadioengineering. 2020 vol. 29, č. 2, s. 405-413. ISSN 1210-2512cs
dc.identifier.doi10.13164/re.2020.0405en
dc.identifier.issn1210-2512
dc.identifier.urihttp://hdl.handle.net/11012/195199
dc.language.isoencs
dc.publisherSpolečnost pro radioelektronické inženýrstvícs
dc.relation.ispartofRadioengineeringcs
dc.relation.urihttps://www.radioeng.cz/fulltexts/2020/20_02_0405_0413.pdfcs
dc.rightsCreative Commons Attribution 4.0 International licenseen
dc.rights.accessopenAccessen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectAtomic norm minimization (ANM)en
dc.subjectcoprime arrayen
dc.subjectdenoising and interpolatingen
dc.subjectgridless methoden
dc.subjectunderdetermined direction-of-arrival (DOA) estimationen
dc.titleUnderdetermined Direction-of-Arrival Estimation with Coprime Array via Atomic Norm Minimizationen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.facultyFakulta eletrotechniky a komunikačních technologiícs
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