{"id":"https://openalex.org/W3120032718","doi":"https://doi.org/10.1109/tcsii.2020.3048287","title":"Steady-State Mean-Square Error Analysis for Non-Negative Least Lncosh Algorithm","display_name":"Steady-State Mean-Square Error Analysis for Non-Negative Least Lncosh Algorithm","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3120032718","doi":"https://doi.org/10.1109/tcsii.2020.3048287","mag":"3120032718"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2020.3048287","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2020.3048287","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","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/A5063514702","display_name":"Zeyang Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zeyang Sun","raw_affiliation_strings":["College of Information and Communication Engineering, Harbin Engineering University, Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information and Communication Engineering, Harbin Engineering University, Harbin, China","institution_ids":["https://openalex.org/I151727225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067639596","display_name":"Yingsong Li","orcid":"https://orcid.org/0000-0002-2450-6028"},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yingsong Li","raw_affiliation_strings":["College of Information and Communication Engineering, Harbin Engineering University, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0002-2450-6028","affiliations":[{"raw_affiliation_string":"College of Information and Communication Engineering, Harbin Engineering University, Harbin, China","institution_ids":["https://openalex.org/I151727225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057732632","display_name":"Yibing Li","orcid":"https://orcid.org/0000-0003-4510-982X"},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yibing Li","raw_affiliation_strings":["College of Information and Communication Engineering, Harbin Engineering University, Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information and Communication Engineering, Harbin Engineering University, Harbin, China","institution_ids":["https://openalex.org/I151727225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100364347","display_name":"Tao Jiang","orcid":"https://orcid.org/0000-0001-8937-679X"},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Jiang","raw_affiliation_strings":["College of Information and Communication Engineering, Harbin Engineering University, Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information and Communication Engineering, Harbin Engineering University, Harbin, China","institution_ids":["https://openalex.org/I151727225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101570298","display_name":"Wei Sun","orcid":"https://orcid.org/0000-0002-9118-5754"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wei Sun","raw_affiliation_strings":["ZTE Research and Development Center (Xi\u2019an), Xi\u2019an, China","ZTE Research and Development Center (Xi'an), Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ZTE Research and Development Center (Xi\u2019an), Xi\u2019an, China","institution_ids":[]},{"raw_affiliation_string":"ZTE Research and Development Center (Xi'an), Xi'an, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":1.6897,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.80378507,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"68","issue":"6","first_page":"2237","last_page":"2241"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.9952999949455261,"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"}},{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9890999794006348,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.653389573097229},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.642727255821228},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.585257887840271},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5712539553642273},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5619309544563293},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5017406940460205},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.5008544921875},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.4816123843193054},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4518987834453583},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.4509434998035431},{"id":"https://openalex.org/keywords/hyperbolic-function","display_name":"Hyperbolic function","score":0.4466729164123535},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.4446071684360504},{"id":"https://openalex.org/keywords/error-function","display_name":"Error function","score":0.4228583574295044},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3791065216064453},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36327114701271057},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3401092290878296},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11881014704704285},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08979633450508118},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0788659155368805}],"concepts":[{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.653389573097229},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.642727255821228},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.585257887840271},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5712539553642273},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5619309544563293},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5017406940460205},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.5008544921875},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.4816123843193054},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4518987834453583},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.4509434998035431},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.4466729164123535},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.4446071684360504},{"id":"https://openalex.org/C202286095","wikidata":"https://www.wikidata.org/wiki/Q579262","display_name":"Error function","level":2,"score":0.4228583574295044},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3791065216064453},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36327114701271057},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3401092290878296},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11881014704704285},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08979633450508118},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0788659155368805},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2020.3048287","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2020.3048287","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2884921608","display_name":null,"funder_award_id":"GX17A016","funder_id":"https://openalex.org/F4320317323","funder_display_name":"Key Research and Development Program of Heilongjiang"},{"id":"https://openalex.org/G2891877830","display_name":null,"funder_award_id":"2016YFE0111100","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G6437886959","display_name":null,"funder_award_id":"2016RAXXJ044","funder_id":"https://openalex.org/F4320336612","funder_display_name":"Science and Technology Innovation Foundation of Harbin"}],"funders":[{"id":"https://openalex.org/F4320317323","display_name":"Key Research and Development Program of Heilongjiang","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320336612","display_name":"Science and Technology Innovation Foundation of Harbin","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1547069917","https://openalex.org/W1965442904","https://openalex.org/W1974313384","https://openalex.org/W1984989970","https://openalex.org/W2013645073","https://openalex.org/W2017288758","https://openalex.org/W2019274094","https://openalex.org/W2053606008","https://openalex.org/W2075041908","https://openalex.org/W2097295283","https://openalex.org/W2109533493","https://openalex.org/W2115806236","https://openalex.org/W2122301785","https://openalex.org/W2124086958","https://openalex.org/W2136600221","https://openalex.org/W2144039164","https://openalex.org/W2163107439","https://openalex.org/W2182793945","https://openalex.org/W2295820431","https://openalex.org/W2326441153","https://openalex.org/W2346828812","https://openalex.org/W2528194423","https://openalex.org/W2579153588","https://openalex.org/W2619474312","https://openalex.org/W2801725476","https://openalex.org/W2942872985","https://openalex.org/W2981737415","https://openalex.org/W3030785636","https://openalex.org/W3044625496","https://openalex.org/W3091882281","https://openalex.org/W3098226599","https://openalex.org/W3103273236","https://openalex.org/W4233760599","https://openalex.org/W4243330440","https://openalex.org/W4288111510","https://openalex.org/W6766734502"],"related_works":["https://openalex.org/W4317829640","https://openalex.org/W1598394172","https://openalex.org/W95230609","https://openalex.org/W2944672690","https://openalex.org/W2967636333","https://openalex.org/W2419511038","https://openalex.org/W4384134342","https://openalex.org/W2521229385","https://openalex.org/W2983300459","https://openalex.org/W2381681287"],"abstract_inverted_index":{"Lncosh":[0],"cost":[1,53],"function":[2,54],"is":[3,34,44,80],"regarded":[4],"as":[5,41],"a":[6,11,30,58],"natural":[7],"logarithm":[8],"obtaining":[9],"from":[10,84],"hyperbolic":[12],"cosine":[13],"function,":[14,39],"which":[15,43],"has":[16],"drawn":[17],"growing":[18],"attention":[19],"due":[20],"to":[21,24,55],"its":[22],"robust":[23],"impulsive":[25,64],"noise.":[26],"In":[27],"this":[28],"brief,":[29],"nonnegative":[31],"adaptive":[32],"algorithm":[33,79],"proposed":[35],"based":[36],"on":[37],"lncosh":[38,52],"named":[40],"NNLlncosh,":[42],"derived":[45],"by":[46],"incorporating":[47],"the":[48,75,85,89,94,98],"nonnegativity":[49,59],"constraint":[50,60],"into":[51],"deal":[56],"with":[57],"optimization":[61],"problem":[62],"under":[63],"system":[65,103],"noises.":[66,104],"The":[67],"steady-state":[68],"excess":[69],"mean":[70],"square":[71],"error":[72],"(EMSE)":[73],"for":[74],"newly":[76],"constructed":[77],"NNLlncosh":[78,99],"presented.":[81],"Obtained":[82],"results":[83],"computer":[86],"simulation":[87],"validate":[88],"theoretical":[90],"analysis":[91],"and":[92],"verify":[93],"excellent":[95],"characteristics":[96],"of":[97],"over":[100],"various":[101],"non-Gaussian":[102]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}