{"id":"https://openalex.org/W2062821313","doi":"https://doi.org/10.1109/mobhoc.2007.4428648","title":"Position Uncertainties in Range-free Wireless Sensor Network Localization","display_name":"Position Uncertainties in Range-free Wireless Sensor Network Localization","publication_year":2007,"publication_date":"2007-10-01","ids":{"openalex":"https://openalex.org/W2062821313","doi":"https://doi.org/10.1109/mobhoc.2007.4428648","mag":"2062821313"},"language":"en","primary_location":{"id":"doi:10.1109/mobhoc.2007.4428648","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mobhoc.2007.4428648","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Internatonal Conference on Mobile Adhoc and Sensor Systems","raw_type":"proceedings-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/A5100456618","display_name":"Zhen Feng","orcid":"https://orcid.org/0000-0001-5791-1946"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhen Feng","raw_affiliation_strings":["Department of Electronics and Information Engineering, Huazhong University of Science and Technology, China","Huazhong University of Science and Technology, WuHan#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Information Engineering, Huazhong University of Science and Technology, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"Huazhong University of Science and Technology, WuHan#TAB#","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062908102","display_name":"Wei Liu","orcid":"https://orcid.org/0000-0003-2968-2888"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Liu","raw_affiliation_strings":["Department of Electronics and Information Engineering, Huazhong University of Science and Technology, China","Huazhong University of Science and Technology, WuHan#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Information Engineering, Huazhong University of Science and Technology, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"Huazhong University of Science and Technology, WuHan#TAB#","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026019360","display_name":"Kanru Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kanru Xu","raw_affiliation_strings":["Department of Electronics and Information Engineering, Huazhong University of Science and Technology, China","Huazhong University of Science and Technology, WuHan#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Information Engineering, Huazhong University of Science and Technology, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"Huazhong University of Science and Technology, WuHan#TAB#","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056643192","display_name":"Wenqing Cheng","orcid":"https://orcid.org/0000-0001-7840-1195"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenqing Cheng","raw_affiliation_strings":["Department of Electronics and Information Engineering, Huazhong University of Science and Technology, China","Huazhong University of Science and Technology, WuHan#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Information Engineering, Huazhong University of Science and Technology, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"Huazhong University of Science and Technology, WuHan#TAB#","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100456618"],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11711113,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"9"},"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/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11192","display_name":"Underwater Vehicles and Communication Systems","score":0.9922000169754028,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.8279619216918945},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.7886741161346436},{"id":"https://openalex.org/keywords/wireless-sensor-network","display_name":"Wireless sensor network","score":0.7679176926612854},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5653669238090515},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5651876330375671},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.547737181186676},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5391765832901001},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4911346137523651},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4829920530319214},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.45800116658210754},{"id":"https://openalex.org/keywords/scope","display_name":"Scope (computer science)","score":0.41967421770095825},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3845205008983612},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32968270778656006},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24619638919830322},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.18867862224578857},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1422063112258911},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11047366261482239},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10443821549415588}],"concepts":[{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.8279619216918945},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.7886741161346436},{"id":"https://openalex.org/C24590314","wikidata":"https://www.wikidata.org/wiki/Q336038","display_name":"Wireless sensor network","level":2,"score":0.7679176926612854},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5653669238090515},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5651876330375671},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.547737181186676},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5391765832901001},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4911346137523651},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4829920530319214},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.45800116658210754},{"id":"https://openalex.org/C2778012447","wikidata":"https://www.wikidata.org/wiki/Q1034415","display_name":"Scope (computer science)","level":2,"score":0.41967421770095825},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3845205008983612},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32968270778656006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24619638919830322},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.18867862224578857},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1422063112258911},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11047366261482239},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10443821549415588},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mobhoc.2007.4428648","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mobhoc.2007.4428648","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Internatonal Conference on Mobile Adhoc and Sensor Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1856571580","https://openalex.org/W1989651117","https://openalex.org/W2100456966","https://openalex.org/W2100796177","https://openalex.org/W2101963262","https://openalex.org/W2104782624","https://openalex.org/W2109845582","https://openalex.org/W2123696099","https://openalex.org/W2130137998","https://openalex.org/W2135401919","https://openalex.org/W2154023174","https://openalex.org/W2156865565","https://openalex.org/W2161249924","https://openalex.org/W2165295831","https://openalex.org/W2165614057","https://openalex.org/W4238162570","https://openalex.org/W6684343422"],"related_works":["https://openalex.org/W4380153838","https://openalex.org/W4398681136","https://openalex.org/W2383204375","https://openalex.org/W2107908243","https://openalex.org/W2000428152","https://openalex.org/W1975451135","https://openalex.org/W4398470586","https://openalex.org/W2969514143","https://openalex.org/W3148968234","https://openalex.org/W2890570089"],"abstract_inverted_index":{"Evaluating":[0],"position":[1,45,51,100,116,123],"uncertainties":[2],"is":[3,21,46,61,88,117,124],"a":[4,37,103],"fundamental":[5],"problem":[6],"of":[7,32,43,98,113],"wireless":[8],"sensor":[9,25,44,122],"network":[10,105],"localization.":[11],"A":[12,85],"constraint":[13,34],"set,":[14],"including":[15],"both":[16],"positive":[17],"and":[18,66],"negative":[19],"constraints,":[20],"constructed":[22],"to":[23,48,74,90],"bound":[24],"position.":[26],"By":[27],"projecting":[28],"the":[29,40,75,96,121],"feasible":[30,41,57,111],"region":[31,59],"this":[33],"set":[35],"onto":[36],"2D":[38],"plane,":[39],"scope":[42,112],"computed":[47,118],"evaluate":[49],"node":[50,99],"uncertainty.":[52],"The":[53,69,110],"projection":[54],"result,":[55],"called":[56],"geographic":[58],"(FGR),":[60],"approximated":[62],"by":[63],"its":[64],"inner":[65],"outer":[67],"polygon.":[68],"polygon":[70,83],"approximation":[71],"will":[72],"converge":[73],"actual":[76],"FGR":[77],"if":[78],"we":[79,94],"incrementally":[80],"add":[81],"more":[82],"vertices.":[84],"distributed":[86],"algorithm":[87],"proposed":[89],"compute":[91],"FGR.":[92],"Finally,":[93],"study":[95],"impact":[97],"uncertainty":[101],"upon":[102],"typical":[104],"application,":[106],"target":[107,114],"event":[108,115],"detection.":[109],"even":[119],"though":[120],"not":[125],"certain.":[126]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}