{"id":"https://openalex.org/W2125092943","doi":"https://doi.org/10.1109/acc.2007.4282834","title":"Unbiased Minimum-variance Filtering for Input Reconstruction","display_name":"Unbiased Minimum-variance Filtering for Input Reconstruction","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2125092943","doi":"https://doi.org/10.1109/acc.2007.4282834","mag":"2125092943"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2007.4282834","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282834","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","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/A5013311186","display_name":"Harish J. Palanthandalam\u2010Madapusi","orcid":"https://orcid.org/0000-0002-1942-0254"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Harish J. Palanthandalam-Madapusi","raw_affiliation_strings":["Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA","University of Michigan , Ann Arbor"],"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"University of Michigan , Ann Arbor","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009770702","display_name":"Dennis S. Bernstein","orcid":"https://orcid.org/0000-0003-0399-3039"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dennis S. Bernstein","raw_affiliation_strings":["Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA","University of Michigan , Ann Arbor"],"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"University of Michigan , Ann Arbor","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013311186"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":2.7459,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.89259259,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"5712","last_page":"5717"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9973000288009644,"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"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9973000288009644,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9908000230789185,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/computer-science","display_name":"Computer science","score":0.5983912348747253},{"id":"https://openalex.org/keywords/minimum-variance-unbiased-estimator","display_name":"Minimum-variance unbiased estimator","score":0.5870791673660278},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.5563583970069885},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4441656470298767},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.38004374504089355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3045603632926941},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.1166490912437439}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5983912348747253},{"id":"https://openalex.org/C165646398","wikidata":"https://www.wikidata.org/wiki/Q3755281","display_name":"Minimum-variance unbiased estimator","level":3,"score":0.5870791673660278},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.5563583970069885},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4441656470298767},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.38004374504089355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3045603632926941},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.1166490912437439},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2007.4282834","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282834","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1964826991","https://openalex.org/W1970041746","https://openalex.org/W1976565604","https://openalex.org/W1978950030","https://openalex.org/W1985886765","https://openalex.org/W1987165244","https://openalex.org/W1990438944","https://openalex.org/W2001509472","https://openalex.org/W2008139352","https://openalex.org/W2008720902","https://openalex.org/W2016026577","https://openalex.org/W2018466653","https://openalex.org/W2020735846","https://openalex.org/W2050235673","https://openalex.org/W2087932696","https://openalex.org/W2089382940","https://openalex.org/W2093944066","https://openalex.org/W2101610346","https://openalex.org/W2104290587","https://openalex.org/W2108929677","https://openalex.org/W2114897575","https://openalex.org/W2128216982","https://openalex.org/W2128751239","https://openalex.org/W2156216575","https://openalex.org/W2162322581","https://openalex.org/W2947553656","https://openalex.org/W6763537673"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2463762105","https://openalex.org/W2166923183","https://openalex.org/W1563551083","https://openalex.org/W1572562701","https://openalex.org/W2472855317","https://openalex.org/W2005426889","https://openalex.org/W2380964641","https://openalex.org/W2394058734","https://openalex.org/W1597290508"],"abstract_inverted_index":{"In":[0],"this":[1,88],"paper,":[2],"we":[3,47,91],"introduce":[4],"the":[5,18,27,55,59,62,71,78,84],"concept":[6],"of":[7,83],"input":[8,20,42,57],"and":[9,21,33,43,58,74],"state":[10,22,44,63],"observability,":[11],"that":[12,70],"is,":[13],"conditions":[14,35],"under":[15],"which":[16],"both":[17],"unknown":[19,56],"can":[23],"be":[24,41],"estimated":[25],"from":[26],"output":[28],"measurements.":[29],"We":[30,68],"discuss":[31],"sufficient":[32],"necessary":[34],"for":[36],"a":[37],"discrete-time":[38],"system":[39],"to":[40,53],"observable.":[45],"Next,":[46],"derive":[48],"an":[49,93],"unbiased":[50],"minimum-variance":[51],"filter":[52,73,85],"estimate":[54],"state,":[60],"when":[61],"space":[64],"matrices":[65],"are":[66,80],"known.":[67],"show":[69],"Kalman":[72],"other":[75],"filters":[76],"in":[77,87],"literature":[79],"special":[81],"cases":[82],"derived":[86],"paper.":[89],"Finally,":[90],"present":[92],"illustrative":[94],"example.":[95]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}