{"id":"https://openalex.org/W2950594951","doi":"https://doi.org/10.1109/access.2019.2922343","title":"A Novel Least-Mean Kurtosis Adaptive Filtering Algorithm Based on Geometric Algebra","display_name":"A Novel Least-Mean Kurtosis Adaptive Filtering Algorithm Based on Geometric Algebra","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2950594951","doi":"https://doi.org/10.1109/access.2019.2922343","mag":"2950594951"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2922343","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2922343","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08735755.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08735755.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100431313","display_name":"Rui Wang","orcid":"https://orcid.org/0000-0002-7974-9510"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Rui Wang","raw_affiliation_strings":["School of Communication and Information Engineering, Key laboratory of Specialty Fiber Optics and Optical Access Networks, Joint International Research Laboratory of Specialty Fiber Optics and Advanced Communication, Shanghai Institute for Advanced Communication and Data Science, Shanghai University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-7974-9510","affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Key laboratory of Specialty Fiber Optics and Optical Access Networks, Joint International Research Laboratory of Specialty Fiber Optics and Advanced Communication, Shanghai Institute for Advanced Communication and Data Science, Shanghai University, Shanghai, China","institution_ids":["https://openalex.org/I113940042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051316157","display_name":"Yinmei He","orcid":null},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yinmei He","raw_affiliation_strings":["School of Communication and Information Engineering, Key laboratory of Specialty Fiber Optics and Optical Access Networks, Joint International Research Laboratory of Specialty Fiber Optics and Advanced Communication, Shanghai Institute for Advanced Communication and Data Science, Shanghai University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Key laboratory of Specialty Fiber Optics and Optical Access Networks, Joint International Research Laboratory of Specialty Fiber Optics and Advanced Communication, Shanghai Institute for Advanced Communication and Data Science, Shanghai University, Shanghai, China","institution_ids":["https://openalex.org/I113940042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001882275","display_name":"Chenyang Huang","orcid":"https://orcid.org/0000-0003-2811-6008"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chenyang Huang","raw_affiliation_strings":["School of Communication and Information Engineering, Key laboratory of Specialty Fiber Optics and Optical Access Networks, Joint International Research Laboratory of Specialty Fiber Optics and Advanced Communication, Shanghai Institute for Advanced Communication and Data Science, Shanghai University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Key laboratory of Specialty Fiber Optics and Optical Access Networks, Joint International Research Laboratory of Specialty Fiber Optics and Advanced Communication, Shanghai Institute for Advanced Communication and Data Science, Shanghai University, Shanghai, China","institution_ids":["https://openalex.org/I113940042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100755825","display_name":"Xiangyang Wang","orcid":"https://orcid.org/0000-0003-1394-6068"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangyang Wang","raw_affiliation_strings":["School of Communication and Information Engineering, Key laboratory of Specialty Fiber Optics and Optical Access Networks, Joint International Research Laboratory of Specialty Fiber Optics and Advanced Communication, Shanghai Institute for Advanced Communication and Data Science, Shanghai University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Key laboratory of Specialty Fiber Optics and Optical Access Networks, Joint International Research Laboratory of Specialty Fiber Optics and Advanced Communication, Shanghai Institute for Advanced Communication and Data Science, Shanghai University, Shanghai, China","institution_ids":["https://openalex.org/I113940042"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100625024","display_name":"Wenming Cao","orcid":"https://orcid.org/0000-0002-8174-6167"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenming Cao","raw_affiliation_strings":["College of Information Engineering, Shenzhen University, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0002-8174-6167","affiliations":[{"raw_affiliation_string":"College of Information Engineering, Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100431313"],"corresponding_institution_ids":["https://openalex.org/I113940042"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":4.4667,"has_fulltext":true,"cited_by_count":31,"citation_normalized_percentile":{"value":0.95815493,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"7","issue":null,"first_page":"78298","last_page":"78310"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.996399998664856,"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/kurtosis","display_name":"Kurtosis","score":0.78582763671875},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6344654560089111},{"id":"https://openalex.org/keywords/geometric-algebra","display_name":"Geometric algebra","score":0.5986600518226624},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.533622682094574},{"id":"https://openalex.org/keywords/multivector","display_name":"Multivector","score":0.4920651316642761},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4792749583721161},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4577130675315857},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.45262664556503296},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4336518943309784},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42482930421829224},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4157756268978119},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.17856287956237793},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13151127099990845},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.12326076626777649}],"concepts":[{"id":"https://openalex.org/C166963901","wikidata":"https://www.wikidata.org/wiki/Q287251","display_name":"Kurtosis","level":2,"score":0.78582763671875},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6344654560089111},{"id":"https://openalex.org/C180671464","wikidata":"https://www.wikidata.org/wiki/Q1186649","display_name":"Geometric algebra","level":4,"score":0.5986600518226624},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.533622682094574},{"id":"https://openalex.org/C26238338","wikidata":"https://www.wikidata.org/wiki/Q2377336","display_name":"Multivector","level":5,"score":0.4920651316642761},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4792749583721161},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4577130675315857},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.45262664556503296},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4336518943309784},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42482930421829224},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4157756268978119},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.17856287956237793},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13151127099990845},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.12326076626777649},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"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/C100376341","wikidata":"https://www.wikidata.org/wiki/Q649977","display_name":"Jordan algebra","level":4,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2922343","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2922343","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08735755.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4f48052fa3bb4086b4955587aec36037","is_oa":true,"landing_page_url":"https://doaj.org/article/4f48052fa3bb4086b4955587aec36037","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 78298-78310 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2922343","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2922343","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08735755.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2921597031","display_name":"\u57fa\u4e8e\u51e0\u4f55\u4ee3\u6570\u7684\u751f\u7406\u673a\u80fd\u667a\u80fd\u68c0\u6d4b\u4e0e\u8bc4\u4f30\u7cfb\u7edf\u7684\u7814\u7a76","funder_award_id":"61771322","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3644517305","display_name":null,"funder_award_id":"61771299","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2950594951.pdf","grobid_xml":"https://content.openalex.org/works/W2950594951.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W125854789","https://openalex.org/W1482404553","https://openalex.org/W1532132626","https://openalex.org/W1701760339","https://openalex.org/W1999542175","https://openalex.org/W2017816729","https://openalex.org/W2018089672","https://openalex.org/W2022718409","https://openalex.org/W2050810337","https://openalex.org/W2058262254","https://openalex.org/W2063253123","https://openalex.org/W2099057098","https://openalex.org/W2115947173","https://openalex.org/W2122076389","https://openalex.org/W2126537583","https://openalex.org/W2126773478","https://openalex.org/W2131174147","https://openalex.org/W2132749914","https://openalex.org/W2133656408","https://openalex.org/W2138507770","https://openalex.org/W2152987686","https://openalex.org/W2156208223","https://openalex.org/W2157990334","https://openalex.org/W2160498832","https://openalex.org/W2164544312","https://openalex.org/W2186929839","https://openalex.org/W2293860863","https://openalex.org/W2396268833","https://openalex.org/W2476841360","https://openalex.org/W2485043053","https://openalex.org/W2488876280","https://openalex.org/W2493111484","https://openalex.org/W2509399620","https://openalex.org/W2510443965","https://openalex.org/W2605242261","https://openalex.org/W2605543710","https://openalex.org/W2766913514","https://openalex.org/W2802708626","https://openalex.org/W2890231145","https://openalex.org/W2962901069","https://openalex.org/W3099684153","https://openalex.org/W4237964482","https://openalex.org/W4239240501","https://openalex.org/W4243662096","https://openalex.org/W4298419852","https://openalex.org/W6628696304"],"related_works":["https://openalex.org/W1593361846","https://openalex.org/W2099345067","https://openalex.org/W4210353177","https://openalex.org/W2102707971","https://openalex.org/W2972738333","https://openalex.org/W2579897398","https://openalex.org/W1979699046","https://openalex.org/W2157610680","https://openalex.org/W2145907930","https://openalex.org/W2038548602"],"abstract_inverted_index":{"A":[0],"novel":[1],"least-mean":[2],"kurtosis":[3,51,71],"adaptive":[4,119],"filtering":[5,120],"algorithm":[6,35,53,64,102,121],"based":[7],"on":[8],"geometric":[9,22],"algebra":[10,23],"(GA-LMK)":[11],"is":[12],"proposed":[13,62,117],"for":[14,57],"multidimensional":[15,31,38,58],"signal":[16,39,59,75],"processing.":[17,60],"First,":[18],"taking":[19],"advantage":[20],"of":[21,27,30,69,72,99,109,131],"(GA)":[24],"in":[25,54,76,129],"terms":[26,130],"the":[28,33,47,66,73,96,100,126],"representation":[29],"signal,":[32],"GA-LMK":[34,63,101,118],"represents":[36],"a":[37,41,81],"as":[40],"GA":[42,55,77],"multivector.":[43],"Second,":[44],"we":[45,94],"extend":[46],"original":[48],"least":[49],"mean":[50],"(LMK)":[52],"space":[56],"The":[61,111],"minimizes":[65],"cost":[67],"function":[68],"negated":[70],"error":[74],"space,":[78],"and":[79,90,134],"provides":[80],"way":[82],"to":[83,106],"make":[84],"tradeoff":[85],"problem":[86],"between":[87],"convergence":[88,132],"rate":[89,133],"steady-state":[91,97,135],"error.":[92,136],"Third,":[93],"study":[95],"behavior":[98],"under":[103],"Gaussian":[104],"noises":[105],"acquire":[107],"conditions":[108],"misadjustment.":[110],"simulation":[112],"results":[113],"show":[114],"that":[115],"our":[116],"can":[122],"outperform":[123],"significantly":[124],"existing":[125],"state-of-the-art":[127],"algorithms":[128]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":7}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}
