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The BR information defines a set of elliptic equations from which the target location can be estimated. By applying the semidefinite relaxation (SDR), we transform the nonconvex BR-based localization problem into a convex semidefinite programming (SDP) problem, whose solution is guaranteed to be globally optimal without initial estimate. Moreover, we extend this method to robustly solve the localization problem in the presence of antenna position errors. Simulation results demonstrate that the proposed SDR method provides superior estimation performance over the existing method. <\/jats:p>","DOI":"10.1155\/2014\/984812","type":"journal-article","created":{"date-parts":[[2014,8,26]],"date-time":"2014-08-26T21:20:31Z","timestamp":1409088031000},"page":"984812","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Semidefinite Relaxation Method for Target Localization by MIMO Radar Using Bistatic Ranges"],"prefix":"10.1177","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3029-0796","authenticated-orcid":false,"given":"Bin","family":"Sun","sequence":"first","affiliation":[{"name":"School of Electronic Science and Engineering, National University of Defense Technology, Changsha, Hunan 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4739-8039","authenticated-orcid":false,"given":"Haowen","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Electronic Science and Engineering, National University of Defense Technology, Changsha, Hunan 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xizhang","family":"Wei","sequence":"additional","affiliation":[{"name":"School of Electronic Science and Engineering, National University of Defense Technology, Changsha, Hunan 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiang","family":"Li","sequence":"additional","affiliation":[{"name":"School of Electronic Science and Engineering, National University of Defense Technology, Changsha, Hunan 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2014,8,26]]},"reference":[{"doi-asserted-by":"publisher","key":"B1-2014-984812","DOI":"10.1109\/TSP.2006.879267"},{"doi-asserted-by":"publisher","key":"B2-2014-984812","DOI":"10.1109\/TAES.2013.6621809"},{"doi-asserted-by":"publisher","key":"B3-2014-984812","DOI":"10.1109\/TIT.2010.2046246"},{"doi-asserted-by":"publisher","key":"B4-2014-984812","DOI":"10.1049\/iet-rsn.2008.0141"},{"doi-asserted-by":"publisher","key":"B5-2014-984812","DOI":"10.1109\/TAES.2013.6621849"},{"doi-asserted-by":"publisher","key":"B6-2014-984812","DOI":"10.1109\/TASE.2006.877401"},{"doi-asserted-by":"publisher","key":"B7-2014-984812","DOI":"10.1109\/LSP.2008.916731"},{"doi-asserted-by":"publisher","key":"B8-2014-984812","DOI":"10.1016\/j.dsp.2012.10.003"},{"doi-asserted-by":"publisher","key":"B9-2014-984812","DOI":"10.1109\/TVT.2012.2225074"},{"doi-asserted-by":"publisher","key":"B10-2014-984812","DOI":"10.1109\/TAES.1984.310439"},{"doi-asserted-by":"publisher","key":"B12-2014-984812","DOI":"10.1080\/10556789908805766"},{"volume-title":"Proceedings of the International Symposium on Computer Aided Control System Design","author":"L\u00f6fberg J.","first-page":"284","key":"B11-2014-984812"},{"doi-asserted-by":"publisher","key":"B13-2014-984812","DOI":"10.1109\/78.875460"},{"volume-title":"Proceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop (SAM)","author":"Sun B.","first-page":"509","key":"B14-2014-984812"}],"container-title":["International Journal of Distributed Sensor Networks"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/journals.sagepub.com\/doi\/pdf\/10.1155\/2014\/984812","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/journals.sagepub.com\/doi\/full-xml\/10.1155\/2014\/984812","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/journals.sagepub.com\/doi\/pdf\/10.1155\/2014\/984812","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,5]],"date-time":"2021-05-05T03:54:14Z","timestamp":1620186854000},"score":1,"resource":{"primary":{"URL":"http:\/\/journals.sagepub.com\/doi\/10.1155\/2014\/984812"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,8,1]]},"references-count":14,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2014,8,1]]}},"alternative-id":["10.1155\/2014\/984812"],"URL":"https:\/\/doi.org\/10.1155\/2014\/984812","relation":{},"ISSN":["1550-1477","1550-1477"],"issn-type":[{"type":"print","value":"1550-1477"},{"type":"electronic","value":"1550-1477"}],"subject":[],"published":{"date-parts":[[2014,8,1]]}}}