{"id":"https://openalex.org/W2771588842","doi":"https://doi.org/10.1109/lsp.2017.2779830","title":"Accurate Rigid Body Localization via Semidefinite Relaxation Using Range Measurements","display_name":"Accurate Rigid Body Localization via Semidefinite Relaxation Using Range Measurements","publication_year":2017,"publication_date":"2017-12-04","ids":{"openalex":"https://openalex.org/W2771588842","doi":"https://doi.org/10.1109/lsp.2017.2779830","mag":"2771588842"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2017.2779830","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2017.2779830","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066139473","display_name":"Jian Jiang","orcid":"https://orcid.org/0000-0002-4474-5974"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian Jiang","raw_affiliation_strings":["Faculty of Electrical Engineering and Computer Science, Ningbo University, Ningbo, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering and Computer Science, Ningbo University, Ningbo, China","institution_ids":["https://openalex.org/I109935558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100367310","display_name":"Gang Wang","orcid":"https://orcid.org/0000-0001-7018-9513"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gang Wang","raw_affiliation_strings":["Faculty of Electrical Engineering and Computer Science, Ningbo University, Ningbo, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering and Computer Science, Ningbo University, Ningbo, China","institution_ids":["https://openalex.org/I109935558"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027768147","display_name":"K. C. Ho","orcid":"https://orcid.org/0000-0002-4883-2151"},"institutions":[{"id":"https://openalex.org/I76835614","display_name":"University of Missouri","ror":"https://ror.org/02ymw8z06","country_code":"US","type":"education","lineage":["https://openalex.org/I76835614"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"K. C. Ho","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Missouri, Columbia, MO, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Missouri, Columbia, MO, USA","institution_ids":["https://openalex.org/I76835614"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066139473"],"corresponding_institution_ids":["https://openalex.org/I109935558"],"apc_list":null,"apc_paid":null,"fwci":1.4567,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.83794138,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"25","issue":"3","first_page":"378","last_page":"382"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/orthogonalization","display_name":"Orthogonalization","score":0.8719557523727417},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6406696438789368},{"id":"https://openalex.org/keywords/rigid-body","display_name":"Rigid body","score":0.63312828540802},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6322553157806396},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.5338479280471802},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.533432126045227},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.525036096572876},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4915641248226166},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.47958746552467346},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4676119089126587},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4616362750530243},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45982813835144043},{"id":"https://openalex.org/keywords/noise-measurement","display_name":"Noise measurement","score":0.44772085547447205},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44426995515823364},{"id":"https://openalex.org/keywords/rotation-matrix","display_name":"Rotation matrix","score":0.42052918672561646},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33478546142578125},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2041289508342743},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17653360962867737},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11479306221008301},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.08324739336967468},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07614025473594666}],"concepts":[{"id":"https://openalex.org/C47559304","wikidata":"https://www.wikidata.org/wiki/Q1702189","display_name":"Orthogonalization","level":2,"score":0.8719557523727417},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6406696438789368},{"id":"https://openalex.org/C145980571","wikidata":"https://www.wikidata.org/wiki/Q192788","display_name":"Rigid body","level":2,"score":0.63312828540802},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6322553157806396},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.5338479280471802},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.533432126045227},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.525036096572876},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4915641248226166},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.47958746552467346},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4676119089126587},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4616362750530243},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45982813835144043},{"id":"https://openalex.org/C29265498","wikidata":"https://www.wikidata.org/wiki/Q7047719","display_name":"Noise measurement","level":3,"score":0.44772085547447205},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44426995515823364},{"id":"https://openalex.org/C83633838","wikidata":"https://www.wikidata.org/wiki/Q1256564","display_name":"Rotation matrix","level":2,"score":0.42052918672561646},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33478546142578125},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2041289508342743},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17653360962867737},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11479306221008301},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.08324739336967468},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07614025473594666},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2017.2779830","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2017.2779830","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1817563648","display_name":null,"funder_award_id":"61571249","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1568307856","https://openalex.org/W1965524079","https://openalex.org/W1997917355","https://openalex.org/W2019497641","https://openalex.org/W2027933602","https://openalex.org/W2095522552","https://openalex.org/W2107376953","https://openalex.org/W2109453544","https://openalex.org/W2110794641","https://openalex.org/W2140855769","https://openalex.org/W2144084055","https://openalex.org/W2164308154","https://openalex.org/W2399074384","https://openalex.org/W2420937421","https://openalex.org/W2422344877","https://openalex.org/W3081157420"],"related_works":["https://openalex.org/W2091132606","https://openalex.org/W1989890335","https://openalex.org/W3038073026","https://openalex.org/W3099018226","https://openalex.org/W2810835355","https://openalex.org/W4205918494","https://openalex.org/W2141209048","https://openalex.org/W2379057772","https://openalex.org/W3128850401","https://openalex.org/W1992266242"],"abstract_inverted_index":{"In":[0],"this":[1],"letter,":[2],"we":[3,71],"propose":[4],"a":[5,13,52,74],"method":[6,115],"to":[7,34,57,65,87,96],"improve":[8],"the":[9,17,21,28,36,43,47,60,66,78,97,102,113,118],"localization":[10,32],"accuracy":[11],"of":[12,42,62,77],"rigid":[14],"body":[15,31,48],"using":[16],"range":[18],"measurements":[19],"between":[20],"anchors":[22],"and":[23,39,49,54,81,94,99,107],"several":[24],"sensors":[25],"mounted":[26],"on":[27,46],"body.":[29],"Rigid":[30],"aims":[33],"estimate":[35,76,98],"rotation":[37,79],"matrix":[38,80],"position":[40,82],"vector":[41,83],"sensor":[44],"array":[45],"it":[50],"is":[51,85],"nonlinear":[53],"challenging":[55],"problem":[56],"solve.":[58],"Through":[59],"application":[61],"semidefinite":[63],"relaxation":[64,106],"original":[67],"maximum":[68],"likelihood":[69],"formulation,":[70],"can":[72,116],"obtain":[73],"coarse":[75],"that":[84,112],"robust":[86],"measurement":[88],"noise.":[89],"We":[90],"next":[91],"apply":[92],"orthogonalization":[93],"refinement":[95],"gain":[100],"back":[101],"performance":[103,122],"loss":[104],"from":[105],"approximation.":[108],"Simulation":[109],"results":[110],"show":[111],"proposed":[114],"reach":[117],"Cram\u00e9r\u2013Rao":[119],"lower":[120],"bound":[121],"even":[123],"at":[124],"high":[125],"noise":[126],"levels":[127],"where":[128],"existing":[129],"estimators":[130],"cannot.":[131]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}