{"id":"https://openalex.org/W3013534177","doi":"https://doi.org/10.1109/wpnc47567.2019.8970258","title":"Robust Elliptic Localization Using Worst-Case Formulation and Convex Approximation","display_name":"Robust Elliptic Localization Using Worst-Case Formulation and Convex Approximation","publication_year":2019,"publication_date":"2019-10-01","ids":{"openalex":"https://openalex.org/W3013534177","doi":"https://doi.org/10.1109/wpnc47567.2019.8970258","mag":"3013534177"},"language":"en","primary_location":{"id":"doi:10.1109/wpnc47567.2019.8970258","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wpnc47567.2019.8970258","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 16th Workshop on Positioning, Navigation and Communications (WPNC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5070717522","display_name":"Wenxin Xiong","orcid":"https://orcid.org/0000-0001-8530-1053"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Wenxin Xiong","raw_affiliation_strings":["University of Freiburg,Department of Computer Science,Freiburg,Germany","Department of Computer Science, University of Freiburg, Freiburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Freiburg,Department of Computer Science,Freiburg,Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"Department of Computer Science, University of Freiburg, Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082563150","display_name":"Hing Cheung So","orcid":"https://orcid.org/0000-0001-8396-7898"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Hing Cheung So","raw_affiliation_strings":["City University of Hong Kong,Department of Electrical Engineering,Hong Kong,China","Department of Electrical Engineering, City University of Hong Kong, Hong Kong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"City University of Hong Kong,Department of Electrical Engineering,Hong Kong,China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Department of Electrical Engineering, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068757827","display_name":"Christian Schindelhauer","orcid":"https://orcid.org/0000-0002-8320-8581"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Schindelhauer","raw_affiliation_strings":["University of Freiburg,Department of Computer Science,Freiburg,Germany","Department of Computer Science, University of Freiburg, Freiburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Freiburg,Department of Computer Science,Freiburg,Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"Department of Computer Science, University of Freiburg, Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007134582","display_name":"Johannes Wendeberg","orcid":"https://orcid.org/0000-0001-8593-9786"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Johannes Wendeberg","raw_affiliation_strings":["University of Freiburg,Department of Computer Science,Freiburg,Germany","Department of Computer Science, University of Freiburg, Freiburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Freiburg,Department of Computer Science,Freiburg,Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"Department of Computer Science, University of Freiburg, Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1947,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.78683934,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":1.0,"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":1.0,"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/T11192","display_name":"Underwater Vehicles and Communication Systems","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/non-line-of-sight-propagation","display_name":"Non-line-of-sight propagation","score":0.7920273542404175},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7586688995361328},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6397582292556763},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6210290193557739},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5355930328369141},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.5142733454704285},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.47086894512176514},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4667879343032837},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.41948074102401733},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.4125634431838989},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3812177777290344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27978333830833435},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.09824201464653015}],"concepts":[{"id":"https://openalex.org/C154910267","wikidata":"https://www.wikidata.org/wiki/Q1740982","display_name":"Non-line-of-sight propagation","level":3,"score":0.7920273542404175},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7586688995361328},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6397582292556763},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6210290193557739},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5355930328369141},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.5142733454704285},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.47086894512176514},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4667879343032837},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.41948074102401733},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.4125634431838989},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3812177777290344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27978333830833435},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.09824201464653015},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/wpnc47567.2019.8970258","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wpnc47567.2019.8970258","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 16th Workshop on Positioning, Navigation and Communications (WPNC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","display_name":"Life below water","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1568307856","https://openalex.org/W1970136595","https://openalex.org/W1989334943","https://openalex.org/W2000433025","https://openalex.org/W2001886371","https://openalex.org/W2019412934","https://openalex.org/W2054922679","https://openalex.org/W2075403247","https://openalex.org/W2087834451","https://openalex.org/W2113168978","https://openalex.org/W2124216931","https://openalex.org/W2151343895","https://openalex.org/W2187618798","https://openalex.org/W2335083313","https://openalex.org/W2533349408","https://openalex.org/W2578329429","https://openalex.org/W2745203826","https://openalex.org/W2754132388","https://openalex.org/W2763187878","https://openalex.org/W2922010967","https://openalex.org/W2947814424","https://openalex.org/W2963574945","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2335109106","https://openalex.org/W3182145356","https://openalex.org/W2600098090","https://openalex.org/W2074145420","https://openalex.org/W3149055374","https://openalex.org/W2053131036","https://openalex.org/W2216231335","https://openalex.org/W3195104199","https://openalex.org/W4386254288","https://openalex.org/W4292572523"],"abstract_inverted_index":{"Recent":[0],"years":[1],"have":[2],"seen":[3],"a":[4,38,90,113,141,145],"rapid":[5],"growth":[6],"in":[7,17,61,131],"research":[8],"on":[9,92],"elliptic":[10,48,59],"localization,":[11],"due":[12],"to":[13,81,100,140],"its":[14],"widespread":[15],"usage":[16],"systems":[18],"such":[19],"as":[20],"multiple-input":[21],"multiple-output":[22],"radar":[23],"and":[24,70,108,136],"multistatic":[25],"sonar.":[26],"However,":[27],"most":[28],"of":[29,40,58,68,133],"the":[30,56,82,93,101],"algorithms":[31],"are":[32,50],"devised":[33],"under":[34],"line-of-sight":[35],"propagation,":[36],"while":[37],"number":[39],"those":[41],"existing":[42,128],"non-line-of-sight":[43],"(NLOS)":[44],"mitigation":[45],"schemes":[46],"for":[47],"localization":[49,60],"highly":[51],"case-dependent.":[52],"This":[53],"paper":[54],"addresses":[55],"problem":[57],"adverse":[62],"environments":[63],"without":[64],"assumptions":[65],"about":[66],"distribution/statistics":[67],"errors":[69],"NLOS":[71,77],"status.":[72],"To":[73],"achieve":[74,137],"robustness":[75],"towards":[76],"bias,":[78],"we":[79],"resort":[80],"worst-case":[83],"least":[84],"squares":[85],"formulation":[86],"which":[87],"requires":[88],"only":[89],"bound":[91],"errors.":[94],"We":[95],"then":[96],"apply":[97],"certain":[98],"approximations":[99],"resultant":[102],"intractable":[103],"constrained":[104],"minimax":[105],"optimization":[106,117],"problem,":[107],"finally":[109],"relax":[110],"it":[111],"into":[112],"readily":[114],"solvable":[115],"convex":[116],"problem.":[118],"Simulation":[119],"results":[120],"show":[121],"that":[122],"our":[123],"method":[124],"can":[125],"outperform":[126],"several":[127],"non-robust":[129],"approaches":[130],"terms":[132],"positioning":[134],"accuracy,":[135],"comparable":[138],"performance":[139],"robust":[142],"estimator":[143],"with":[144],"lower":[146],"computational":[147],"cost.":[148]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
