{"id":"https://openalex.org/W7134958596","doi":"https://doi.org/10.1109/taes.2026.3672089","title":"The Singularity Problem of LMV Fusion in Multisensor Kalman Filtering","display_name":"The Singularity Problem of LMV Fusion in Multisensor Kalman Filtering","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7134958596","doi":"https://doi.org/10.1109/taes.2026.3672089"},"language":null,"primary_location":{"id":"doi:10.1109/taes.2026.3672089","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taes.2026.3672089","pdf_url":null,"source":{"id":"https://openalex.org/S193624734","display_name":"IEEE Transactions on Aerospace and Electronic Systems","issn_l":"0018-9251","issn":["0018-9251","1557-9603","2371-9877"],"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 Transactions on Aerospace and Electronic Systems","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/A5113257025","display_name":"Zhongyao Hu","orcid":null},"institutions":[{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongyao Hu","raw_affiliation_strings":["College of Information Engineering, Zhejiang University of Technology, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Engineering, Zhejiang University of Technology, Hangzhou, China","institution_ids":["https://openalex.org/I55712492"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100427435","display_name":"Bo Chen","orcid":"https://orcid.org/0000-0003-4145-0676"},"institutions":[{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Chen","raw_affiliation_strings":["College of Information Engineering, Zhejiang University of Technology, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-6150-3881","affiliations":[{"raw_affiliation_string":"College of Information Engineering, Zhejiang University of Technology, Hangzhou, China","institution_ids":["https://openalex.org/I55712492"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021409362","display_name":"Rusheng Wang","orcid":"https://orcid.org/0000-0003-0953-6998"},"institutions":[{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rusheng Wang","raw_affiliation_strings":["College of Information Engineering, Zhejiang University of Technology, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-0953-6998","affiliations":[{"raw_affiliation_string":"College of Information Engineering, Zhejiang University of Technology, Hangzhou, China","institution_ids":["https://openalex.org/I55712492"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I55712492"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20643514,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"62","issue":null,"first_page":"8658","last_page":"8665"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9413999915122986,"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"}},"topics":[{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9413999915122986,"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"}},{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.024000000208616257,"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/T11325","display_name":"Inertial Sensor and Navigation","score":0.010200000368058681,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.6984000205993652},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.6837999820709229},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.6227999925613403},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5788999795913696},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.538100004196167},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.4722000062465668},{"id":"https://openalex.org/keywords/sensor-fusion","display_name":"Sensor fusion","score":0.43700000643730164},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.4300000071525574},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4287000000476837}],"concepts":[{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.6984000205993652},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.6837999820709229},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.6227999925613403},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5788999795913696},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.538100004196167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5088000297546387},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.4722000062465668},{"id":"https://openalex.org/C33954974","wikidata":"https://www.wikidata.org/wiki/Q486494","display_name":"Sensor fusion","level":2,"score":0.43700000643730164},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4300000071525574},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4287000000476837},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.426800012588501},{"id":"https://openalex.org/C158525013","wikidata":"https://www.wikidata.org/wiki/Q2593739","display_name":"Fusion","level":2,"score":0.42640000581741333},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4239000082015991},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3919000029563904},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37689998745918274},{"id":"https://openalex.org/C83042196","wikidata":"https://www.wikidata.org/wiki/Q5178898","display_name":"Covariance intersection","level":4,"score":0.35690000653266907},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.35269999504089355},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34940001368522644},{"id":"https://openalex.org/C41614226","wikidata":"https://www.wikidata.org/wiki/Q5449244","display_name":"Filtering problem","level":4,"score":0.33869999647140503},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.3199000060558319},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3174999952316284},{"id":"https://openalex.org/C2988922011","wikidata":"https://www.wikidata.org/wiki/Q5449244","display_name":"Filtering theory","level":2,"score":0.3034999966621399},{"id":"https://openalex.org/C150679823","wikidata":"https://www.wikidata.org/wiki/Q5436946","display_name":"Fast Kalman filter","level":4,"score":0.30140000581741333},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.3009999990463257},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.2653000056743622},{"id":"https://openalex.org/C205609532","wikidata":"https://www.wikidata.org/wiki/Q770324","display_name":"Minimal realization","level":3,"score":0.2644999921321869},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.26080000400543213},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.2574999928474426}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/taes.2026.3672089","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taes.2026.3672089","pdf_url":null,"source":{"id":"https://openalex.org/S193624734","display_name":"IEEE Transactions on Aerospace and Electronic Systems","issn_l":"0018-9251","issn":["0018-9251","1557-9603","2371-9877"],"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 Transactions on Aerospace and Electronic Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4393949120","display_name":null,"funder_award_id":"62403427","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4757598000","display_name":null,"funder_award_id":"U24A20258","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7415426737","display_name":null,"funder_award_id":"62503429","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1646967508","https://openalex.org/W1978063275","https://openalex.org/W2005850412","https://openalex.org/W2026478216","https://openalex.org/W2036881328","https://openalex.org/W2064183516","https://openalex.org/W2078786957","https://openalex.org/W2091739459","https://openalex.org/W2123703234","https://openalex.org/W2142315243","https://openalex.org/W2144859729","https://openalex.org/W2148234182","https://openalex.org/W2575324621","https://openalex.org/W2593819095","https://openalex.org/W2603428934","https://openalex.org/W2799357337","https://openalex.org/W3140406253","https://openalex.org/W4236076921","https://openalex.org/W4388819594","https://openalex.org/W4389956004","https://openalex.org/W4391305438","https://openalex.org/W4406521221","https://openalex.org/W4413786556"],"related_works":[],"abstract_inverted_index":{"The":[0],"linear":[1],"minimum":[2],"variance":[3],"(LMV)":[4],"fusion":[5,110],"rule,":[6],"while":[7],"widely":[8],"employed":[9],"in":[10,40,98],"multi-sensor":[11,116],"Kalman":[12,36],"filtering":[13],"fusion,":[14],"relies":[15],"typically":[16],"on":[17,85],"the":[18,50,54,58],"implicit":[19],"assumption":[20],"of":[21,57,100],"a":[22,41,63],"nonsingular":[23],"collective":[24,43,59,69],"error":[25],"covariance":[26],"matrix":[27],"(ECM).":[28],"In":[29],"practice,":[30],"however,":[31],"redundant":[32],"information":[33],"among":[34],"local":[35],"filters":[37],"can":[38],"result":[39],"singular":[42],"ECM.":[44,60],"This":[45],"paper":[46],"aims":[47],"to":[48],"elucidate":[49],"fundamental":[51],"causes":[52],"behind":[53],"potential":[55],"singularity":[56],"We":[61],"establish":[62],"necessary":[64,94],"and":[65,75,111],"sufficient":[66,92],"condition":[67],"for":[68,108,114],"ECM":[70],"non-singularity":[71],"through":[72],"reachability":[73],"analysis,":[74],"demonstrate":[76],"that":[77],"redundancy":[78],"arises":[79],"when":[80],"state":[81],"estimates":[82],"depend":[83],"exclusively":[84],"model":[86],"prediction.":[87],"Furthermore,":[88],"we":[89],"derive":[90],"intuitive":[91],"or":[93],"conditions":[95],"expressed":[96],"directly":[97],"terms":[99],"system":[101],"parameters.":[102],"These":[103],"results":[104],"provide":[105],"theoretical":[106],"guarantees":[107],"LMV":[109],"practical":[112],"guidelines":[113],"designing":[115],"systems.":[117]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2026-03-12T00:00:00"}