{"id":"https://openalex.org/W3153656615","doi":"https://doi.org/10.1109/tcsii.2021.3073961","title":"A Fractional-Order Adaptive Filtering Algorithm in Impulsive Noise Environments","display_name":"A Fractional-Order Adaptive Filtering Algorithm in Impulsive Noise Environments","publication_year":2021,"publication_date":"2021-04-19","ids":{"openalex":"https://openalex.org/W3153656615","doi":"https://doi.org/10.1109/tcsii.2021.3073961","mag":"3153656615"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2021.3073961","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2021.3073961","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/A5079528570","display_name":"Yongjiang Luo","orcid":"https://orcid.org/0000-0002-7427-5758"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongjiang Luo","raw_affiliation_strings":["School of Electronic Engineering, Xidian University, Xi\u2019an, China","School of Electronic Engineering, Xidian University, Xi`an, China"],"raw_orcid":"https://orcid.org/0000-0002-7427-5758","affiliations":[{"raw_affiliation_string":"School of Electronic Engineering, Xidian University, Xi\u2019an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"School of Electronic Engineering, Xidian University, Xi`an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068015484","display_name":"Jiali Yang","orcid":"https://orcid.org/0000-0002-4560-0793"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiali Yang","raw_affiliation_strings":["School of Mechano-Electronic Engineering, Xidian University, Xi\u2019an, China"],"raw_orcid":"https://orcid.org/0000-0002-4560-0793","affiliations":[{"raw_affiliation_string":"School of Mechano-Electronic Engineering, Xidian University, Xi\u2019an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100381904","display_name":"Qiang Zhang","orcid":"https://orcid.org/0000-0002-2828-9905"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Zhang","raw_affiliation_strings":["School of Mechano-Electronic Engineering, Xidian University, Xi\u2019an, China"],"raw_orcid":"https://orcid.org/0000-0002-2828-9905","affiliations":[{"raw_affiliation_string":"School of Mechano-Electronic Engineering, Xidian University, Xi\u2019an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100603933","display_name":"Changlong Wang","orcid":"https://orcid.org/0000-0001-7820-0676"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changlong Wang","raw_affiliation_strings":["School of Electronic Engineering, Xidian University, Xi\u2019an, China","School of Electronic Engineering, Xidian University, Xi`an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic Engineering, Xidian University, Xi\u2019an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"School of Electronic Engineering, Xidian University, Xi`an, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":null,"apc_paid":null,"fwci":2.5862,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.89362154,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"68","issue":"10","first_page":"3376","last_page":"3380"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":1.0,"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":1.0,"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/T12146","display_name":"Power Line Communications and Noise","score":0.9966999888420105,"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"}},{"id":"https://openalex.org/T10860","display_name":"Speech and Audio Processing","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/differentiable-function","display_name":"Differentiable function","score":0.6959918141365051},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6511406302452087},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.5508468747138977},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5418205857276917},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5062496066093445},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4749060869216919},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.45185720920562744},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4125932455062866},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3269195556640625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2855096757411957},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.256632924079895},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22344174981117249},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.16498246788978577},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.14354583621025085},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.0788356363773346}],"concepts":[{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.6959918141365051},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6511406302452087},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.5508468747138977},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5418205857276917},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5062496066093445},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4749060869216919},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.45185720920562744},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4125932455062866},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3269195556640625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2855096757411957},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.256632924079895},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22344174981117249},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.16498246788978577},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.14354583621025085},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0788356363773346},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2021.3073961","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2021.3073961","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1513230388","https://openalex.org/W1996124770","https://openalex.org/W1996776537","https://openalex.org/W2028584401","https://openalex.org/W2039059715","https://openalex.org/W2067759611","https://openalex.org/W2136409657","https://openalex.org/W2138428649","https://openalex.org/W2152987686","https://openalex.org/W2165218755","https://openalex.org/W2278863081","https://openalex.org/W2787959293","https://openalex.org/W2790270757","https://openalex.org/W2937720655","https://openalex.org/W2949966033","https://openalex.org/W2998892442","https://openalex.org/W3011709223","https://openalex.org/W3028216100","https://openalex.org/W3033630479","https://openalex.org/W3084304036","https://openalex.org/W3091814421","https://openalex.org/W7043763293"],"related_works":["https://openalex.org/W2373677839","https://openalex.org/W1970594704","https://openalex.org/W1977185169","https://openalex.org/W2326693593","https://openalex.org/W2321250155","https://openalex.org/W1983366713","https://openalex.org/W4212900149","https://openalex.org/W2963732783","https://openalex.org/W1582416669","https://openalex.org/W2081703167"],"abstract_inverted_index":{"As":[0],"classical":[1],"adaptive":[2],"filtering":[3],"algorithms,":[4],"least":[5],"mean$p$-norm":[6],"(LMP)":[7],"and":[8,72,110,130],"its":[9,73],"variants":[10],"have":[11,126],"good":[12],"convergence":[13,128],"performance":[14,41,133],"in":[15,76,89,137],"impulsive":[16,138],"noise":[17,32,139],"obeying$\\alpha":[18],"$-stable":[19],"distribution":[20],"with":[21,30,82],"the":[22,31,40,52,83,86,97,105,115,123],"characteristic":[23],"exponent$\\alpha":[24],"\\in":[25,34],"(1,2]$.":[26],"However,":[27],"when":[28],"dealing":[29],"of$\\alpha":[33,142],"(0,1]$,":[35],"such":[36,64],"as":[37],"Cauchy":[38],"noise,":[39],"of":[42,55,107,117],"these":[43],"algorithms":[44,125,136],"is":[45,101],"greatly":[46],"degraded":[47],"or":[48],"even":[49],"fail,":[50],"because":[51],"cost":[53,87],"functions":[54],"which":[56],"are":[57],"not":[58],"first-order":[59],"differentiable":[60,94],"everywhere.":[61,95],"To":[62],"solve":[63],"problem,":[65],"we":[66],"present":[67],"a":[68],"fractional-order":[69,84,93],"LMP":[70,81],"(FOLMP)":[71],"normalized":[74],"version":[75],"this":[77],"brief.":[78],"By":[79],"optimizing":[80],"gradient,":[85],"function":[88],"FOLMP":[90],"will":[91],"be":[92],"Moreover,":[96],"mean":[98],"square":[99],"stability":[100,116],"analyzed":[102],"to":[103],"get":[104],"ranges":[106],"fractional":[108],"order":[109],"step":[111],"size":[112],"for":[113],"ensuring":[114],"FOLMP.":[118],"Experimental":[119],"results":[120],"show":[121],"that":[122],"proposed":[124],"faster":[127],"speed":[129],"better":[131],"tracking":[132],"than":[134],"previous":[135],"environments":[140],"regardless":[141],"$values.":[143]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}