{"id":"https://openalex.org/W2008629314","doi":"https://doi.org/10.1007/s00034-014-9835-0","title":"Fractional Order Estimation Schemes for Fractional and Integer Order Systems with Constant and Variable Fractional Order Colored Noise","display_name":"Fractional Order Estimation Schemes for Fractional and Integer Order Systems with Constant and Variable Fractional Order Colored Noise","publication_year":2014,"publication_date":"2014-06-20","ids":{"openalex":"https://openalex.org/W2008629314","doi":"https://doi.org/10.1007/s00034-014-9835-0","mag":"2008629314"},"language":"en","primary_location":{"id":"doi:10.1007/s00034-014-9835-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00034-014-9835-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00034-014-9835-0.pdf","source":{"id":"https://openalex.org/S20109229","display_name":"Circuits Systems and Signal Processing","issn_l":"0278-081X","issn":["0278-081X","1531-5878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Circuits, Systems, and Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00034-014-9835-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080278994","display_name":"Dominik Sierociuk","orcid":"https://orcid.org/0000-0002-3700-3665"},"institutions":[{"id":"https://openalex.org/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Dominik Sierociuk","raw_affiliation_strings":[")  P. Ziubinski Institute of Control and Industrial Electronics, Warsaw University of Technology, Koszykowa 75, Warsaw, Poland","[Institute of Control and Industrial Electronics, Warsaw University of Technology , Warsaw, Poland]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":")  P. Ziubinski Institute of Control and Industrial Electronics, Warsaw University of Technology, Koszykowa 75, Warsaw, Poland","institution_ids":["https://openalex.org/I108403487"]},{"raw_affiliation_string":"[Institute of Control and Industrial Electronics, Warsaw University of Technology , Warsaw, Poland]","institution_ids":["https://openalex.org/I108403487"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086199433","display_name":"Pawe\u0142 Ziubi\u0144ski","orcid":null},"institutions":[{"id":"https://openalex.org/I108403487","display_name":"Warsaw University of Technology","ror":"https://ror.org/00y0xnp53","country_code":"PL","type":"education","lineage":["https://openalex.org/I108403487"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Pawel Ziubinski","raw_affiliation_strings":[")  P. Ziubinski Institute of Control and Industrial Electronics, Warsaw University of Technology, Koszykowa 75, Warsaw, Poland","[Institute of Control and Industrial Electronics, Warsaw University of Technology , Warsaw, Poland]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":")  P. Ziubinski Institute of Control and Industrial Electronics, Warsaw University of Technology, Koszykowa 75, Warsaw, Poland","institution_ids":["https://openalex.org/I108403487"]},{"raw_affiliation_string":"[Institute of Control and Industrial Electronics, Warsaw University of Technology , Warsaw, Poland]","institution_ids":["https://openalex.org/I108403487"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.7453,"has_fulltext":true,"cited_by_count":54,"citation_normalized_percentile":{"value":0.9583909,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"33","issue":"12","first_page":"3861","last_page":"3882"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9987000226974487,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9987000226974487,"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/T11236","display_name":"Control Systems and Identification","score":0.9966999888420105,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9847000241279602,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.6976388692855835},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6825997829437256},{"id":"https://openalex.org/keywords/colors-of-noise","display_name":"Colors of noise","score":0.655152440071106},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.594180166721344},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4571625292301178},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4522151052951813},{"id":"https://openalex.org/keywords/value-noise","display_name":"Value noise","score":0.42364081740379333},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4213683605194092},{"id":"https://openalex.org/keywords/gradient-noise","display_name":"Gradient noise","score":0.41841331124305725},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.41486111283302307},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4111365079879761},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.370772123336792},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33982527256011963},{"id":"https://openalex.org/keywords/noise-measurement","display_name":"Noise measurement","score":0.2953311502933502},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23001927137374878},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21399089694023132},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.20517659187316895},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.19970661401748657},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14200201630592346},{"id":"https://openalex.org/keywords/noise-floor","display_name":"Noise floor","score":0.10121187567710876}],"concepts":[{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6976388692855835},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6825997829437256},{"id":"https://openalex.org/C114996537","wikidata":"https://www.wikidata.org/wiki/Q4854529","display_name":"Colors of noise","level":3,"score":0.655152440071106},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.594180166721344},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4571625292301178},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4522151052951813},{"id":"https://openalex.org/C182163834","wikidata":"https://www.wikidata.org/wiki/Q2926529","display_name":"Value noise","level":5,"score":0.42364081740379333},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4213683605194092},{"id":"https://openalex.org/C200378446","wikidata":"https://www.wikidata.org/wiki/Q4147391","display_name":"Gradient noise","level":5,"score":0.41841331124305725},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.41486111283302307},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4111365079879761},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.370772123336792},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33982527256011963},{"id":"https://openalex.org/C29265498","wikidata":"https://www.wikidata.org/wiki/Q7047719","display_name":"Noise measurement","level":3,"score":0.2953311502933502},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23001927137374878},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21399089694023132},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.20517659187316895},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.19970661401748657},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14200201630592346},{"id":"https://openalex.org/C187612029","wikidata":"https://www.wikidata.org/wiki/Q17083130","display_name":"Noise floor","level":4,"score":0.10121187567710876},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00034-014-9835-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00034-014-9835-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00034-014-9835-0.pdf","source":{"id":"https://openalex.org/S20109229","display_name":"Circuits Systems and Signal Processing","issn_l":"0278-081X","issn":["0278-081X","1531-5878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Circuits, Systems, and Signal Processing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00034-014-9835-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00034-014-9835-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00034-014-9835-0.pdf","source":{"id":"https://openalex.org/S20109229","display_name":"Circuits Systems and Signal Processing","issn_l":"0278-081X","issn":["0278-081X","1531-5878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Circuits, Systems, and Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2008629314.pdf","grobid_xml":"https://content.openalex.org/works/W2008629314.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W85574676","https://openalex.org/W564096856","https://openalex.org/W611121171","https://openalex.org/W646125048","https://openalex.org/W648709882","https://openalex.org/W1571391776","https://openalex.org/W1982333762","https://openalex.org/W1993190712","https://openalex.org/W2000098639","https://openalex.org/W2020311721","https://openalex.org/W2022371976","https://openalex.org/W2023877032","https://openalex.org/W2026223132","https://openalex.org/W2034798667","https://openalex.org/W2061893872","https://openalex.org/W2067968025","https://openalex.org/W2069538852","https://openalex.org/W2075665883","https://openalex.org/W2079877740","https://openalex.org/W2080751974","https://openalex.org/W2082944446","https://openalex.org/W2085845098","https://openalex.org/W2087661690","https://openalex.org/W2108132547","https://openalex.org/W2133253472","https://openalex.org/W2148016633","https://openalex.org/W2148950352","https://openalex.org/W2150159377","https://openalex.org/W2154471670","https://openalex.org/W2163809525","https://openalex.org/W2319085245","https://openalex.org/W2352009082","https://openalex.org/W2390610783","https://openalex.org/W2477921776","https://openalex.org/W2478961926","https://openalex.org/W2544189642","https://openalex.org/W2787959293","https://openalex.org/W4299784281"],"related_works":["https://openalex.org/W1988789108","https://openalex.org/W2369507939","https://openalex.org/W1986743941","https://openalex.org/W2060509723","https://openalex.org/W1665119924","https://openalex.org/W145422376","https://openalex.org/W2588855097","https://openalex.org/W2150834232","https://openalex.org/W1570648702","https://openalex.org/W2144739192"],"abstract_inverted_index":{"The":[0,18,65],"paper":[1],"presents":[2],"estimation":[3,48,69],"schemes":[4],"for":[5,35,58],"discrete":[6],"fractional":[7,14,19,45,74],"and":[8],"integer":[9,70],"order":[10,15,20,71],"state-space":[11],"systems":[12],"with":[13,32,73],"colored":[16,21,29],"noise.":[17],"noise":[22,30,42,54,75],"is":[23,43],"a":[24],"generalization":[25],"of":[26,41,44,62,68],"the":[27,36,39],"traditional":[28],"(noise":[31],"dynamic":[33],"dependency)":[34],"case":[37],"when":[38],"dynamics":[40],"order.":[46],"Proposed":[47],"algorithm":[49],"additionally":[50],"uses":[51],"information":[52],"about":[53],"dynamics,":[55],"which":[56],"allows":[57],"obtaining":[59],"better":[60],"estimates":[61],"state":[63],"vector.":[64],"numerical":[66],"experiments":[67],"system":[72],"are":[76],"presented":[77],"as":[78],"well.":[79]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
