{"id":"https://openalex.org/W2139813482","doi":"https://doi.org/10.1109/tsp.2010.2048901","title":"A Robust Null Space Method for Linear Equality Constrained State Estimation","display_name":"A Robust Null Space Method for Linear Equality Constrained State Estimation","publication_year":2010,"publication_date":"2010-04-28","ids":{"openalex":"https://openalex.org/W2139813482","doi":"https://doi.org/10.1109/tsp.2010.2048901","mag":"2139813482"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2010.2048901","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2048901","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/A5057195161","display_name":"Russell J. Hewett","orcid":"https://orcid.org/0000-0001-8944-4705"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Russell J. Hewett","raw_affiliation_strings":["Department of Computer Science and the Remote Sensing and Space Sciences Group, Coordinated Science Laboratory, University of Illinois, Urbana-Champaign, Urbana, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and the Remote Sensing and Space Sciences Group, Coordinated Science Laboratory, University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112778840","display_name":"Michael T. Heath","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael T. Heath","raw_affiliation_strings":["Department of Computer Science, University of Illinois, Urbana-Champaign, Urbana, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075035096","display_name":"Mark D. Butala","orcid":"https://orcid.org/0000-0002-7992-3750"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark D. Butala","raw_affiliation_strings":["Remote Sensing and Space Sciences Group, Coordinated Science Laboratory, University of Illinois, Urbana-Champaign, Urbana, IL, USA"],"affiliations":[{"raw_affiliation_string":"Remote Sensing and Space Sciences Group, Coordinated Science Laboratory, University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048495190","display_name":"Farzad Kamalabadi","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Farzad Kamalabadi","raw_affiliation_strings":["Department of Electrical and Computer Engineering and the Coordinated Science Laboratory, University of Illinois, Urbana-Champaign, Urbana, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and the Coordinated Science Laboratory, University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5057195161"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":5.193,"has_fulltext":false,"cited_by_count":85,"citation_normalized_percentile":{"value":0.95416374,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"58","issue":"8","first_page":"3961","last_page":"3971"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9973999857902527,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.686530590057373},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5995309352874756},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.589165449142456},{"id":"https://openalex.org/keywords/degeneracy","display_name":"Degeneracy (biology)","score":0.57365882396698},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5102181434631348},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.49059024453163147},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.4675140976905823},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.4356895387172699},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40983909368515015},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39675888419151306},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.29892170429229736},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25329655408859253},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.081737220287323}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.686530590057373},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5995309352874756},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.589165449142456},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.57365882396698},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5102181434631348},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.49059024453163147},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.4675140976905823},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.4356895387172699},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40983909368515015},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39675888419151306},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.29892170429229736},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25329655408859253},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.081737220287323},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2010.2048901","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2048901","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1483815626","https://openalex.org/W1611083383","https://openalex.org/W1635779336","https://openalex.org/W1949211959","https://openalex.org/W1973342905","https://openalex.org/W2001580031","https://openalex.org/W2010315317","https://openalex.org/W2014746566","https://openalex.org/W2019241852","https://openalex.org/W2020237705","https://openalex.org/W2025072603","https://openalex.org/W2025090775","https://openalex.org/W2058619588","https://openalex.org/W2075665712","https://openalex.org/W2091734316","https://openalex.org/W2105934661","https://openalex.org/W2108232548","https://openalex.org/W2112367267","https://openalex.org/W2122722570","https://openalex.org/W2123224804","https://openalex.org/W2125839633","https://openalex.org/W2131752723","https://openalex.org/W2132604950","https://openalex.org/W2136577195","https://openalex.org/W2136907406","https://openalex.org/W2146775457","https://openalex.org/W2150441661","https://openalex.org/W2159842443","https://openalex.org/W2161666343","https://openalex.org/W2169135280","https://openalex.org/W2326806701","https://openalex.org/W2989457786"],"related_works":["https://openalex.org/W2372940580","https://openalex.org/W2101113459","https://openalex.org/W2187706389","https://openalex.org/W2160348827","https://openalex.org/W1970824047","https://openalex.org/W1941883603","https://openalex.org/W1842556415","https://openalex.org/W4252688432","https://openalex.org/W2555734889","https://openalex.org/W1675409203"],"abstract_inverted_index":{"We":[0,100],"present":[1,101],"a":[2,15,102],"robust":[3],"null":[4],"space":[5,12],"method":[6,66,111],"for":[7],"linear":[8],"equality":[9],"constrained":[10,51,82],"state":[11],"estimation.":[13],"Exploiting":[14],"degeneracy":[16,95],"in":[17,69,91,96],"the":[18,28,50,61,81,94,97,106,109],"estimator":[19,98],"statistics,":[20],"an":[21],"orthogonal":[22],"factorization":[23],"is":[24],"used":[25,71],"to":[26,93,113],"decompose":[27],"problem":[29,52,62,83],"into":[30],"stochastic":[31],"and":[32,54],"deterministic":[33],"components,":[34],"which":[35,76],"are":[36],"then":[37],"solved":[38],"separately.":[39],"The":[40,64],"resulting":[41],"dimension":[42],"reduction":[43],"algorithm":[44],"has":[45],"enhanced":[46],"numerical":[47,88,103],"stability,":[48],"solves":[49],"completely,":[53],"can":[55],"reduce":[56],"computational":[57],"load":[58],"by":[59],"reducing":[60],"size.":[63],"new":[65,110],"addresses":[67],"deficiencies":[68],"commonly":[70],"pseudo-observation":[72],"or":[73,85],"projection":[74],"methods,":[75],"either":[77],"do":[78],"not":[79],"solve":[80],"completely":[84],"have":[86],"unstable":[87],"implementations,":[89],"due":[90],"part":[92],"statistics.":[99],"example":[104],"demonstrating":[105],"effectiveness":[107],"of":[108],"compared":[112],"other":[114],"current":[115],"methods.":[116]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}
