{"id":"https://openalex.org/W2969551312","doi":"https://doi.org/10.3390/sym11091067","title":"A Kernel Recursive Maximum Versoria-Like Criterion Algorithm for Nonlinear Channel Equalization","display_name":"A Kernel Recursive Maximum Versoria-Like Criterion Algorithm for Nonlinear Channel Equalization","publication_year":2019,"publication_date":"2019-08-21","ids":{"openalex":"https://openalex.org/W2969551312","doi":"https://doi.org/10.3390/sym11091067","mag":"2969551312"},"language":"en","primary_location":{"id":"doi:10.3390/sym11091067","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11091067","pdf_url":"https://www.mdpi.com/2073-8994/11/9/1067/pdf?version=1566872868","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/11/9/1067/pdf?version=1566872868","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061885860","display_name":"Qishuai Wu","orcid":"https://orcid.org/0000-0002-3501-0044"},"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":"Qishuai Wu","raw_affiliation_strings":["College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, 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"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210115570","display_name":"National Space Science Center","ror":"https://ror.org/02nnjtm50","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210115570"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yingsong Li","raw_affiliation_strings":["College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China","Key Laboratory of Microwave Remote Sensing, National Space Science Center, Chinese Academy of Sciences, Beijing 100190, China"],"raw_orcid":"https://orcid.org/0000-0002-2450-6028","affiliations":[{"raw_affiliation_string":"College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China","institution_ids":["https://openalex.org/I151727225"]},{"raw_affiliation_string":"Key Laboratory of Microwave Remote Sensing, National Space Science Center, Chinese Academy of Sciences, Beijing 100190, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210115570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076477306","display_name":"Wei Xue","orcid":"https://orcid.org/0000-0003-1104-0959"},"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":"Wei Xue","raw_affiliation_strings":["College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China","institution_ids":["https://openalex.org/I151727225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5067639596"],"corresponding_institution_ids":["https://openalex.org/I151727225","https://openalex.org/I19820366","https://openalex.org/I4210115570"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":2.4185,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.88117592,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"11","issue":"9","first_page":"1067","last_page":"1067"},"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/T10860","display_name":"Speech and Audio Processing","score":0.9994999766349792,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9987999796867371,"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/kernel","display_name":"Kernel (algebra)","score":0.6672309041023254},{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.6532372832298279},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6059554815292358},{"id":"https://openalex.org/keywords/variable-kernel-density-estimation","display_name":"Variable kernel density estimation","score":0.5548515915870667},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5473114252090454},{"id":"https://openalex.org/keywords/gaussian-function","display_name":"Gaussian function","score":0.4925759434700012},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.49114295840263367},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.48111528158187866},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.44911468029022217},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42896395921707153},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.393757164478302},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3061588406562805},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.212350994348526},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15609696507453918},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13457998633384705},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.1276848018169403},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.09792745113372803},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08382675051689148},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.0693223774433136}],"concepts":[{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6672309041023254},{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.6532372832298279},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6059554815292358},{"id":"https://openalex.org/C195699287","wikidata":"https://www.wikidata.org/wiki/Q7915722","display_name":"Variable kernel density estimation","level":4,"score":0.5548515915870667},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5473114252090454},{"id":"https://openalex.org/C7218915","wikidata":"https://www.wikidata.org/wiki/Q1054475","display_name":"Gaussian function","level":3,"score":0.4925759434700012},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.49114295840263367},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.48111528158187866},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.44911468029022217},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42896395921707153},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.393757164478302},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3061588406562805},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.212350994348526},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15609696507453918},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13457998633384705},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.1276848018169403},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.09792745113372803},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08382675051689148},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.0693223774433136},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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":3,"locations":[{"id":"doi:10.3390/sym11091067","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11091067","pdf_url":"https://www.mdpi.com/2073-8994/11/9/1067/pdf?version=1566872868","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4dc793ec3c674e60a1247142ea654cc9","is_oa":true,"landing_page_url":"https://doaj.org/article/4dc793ec3c674e60a1247142ea654cc9","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":"Symmetry, Vol 11, Iss 9, p 1067 (2019)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/11/9/1067/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym11091067","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym11091067","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11091067","pdf_url":"https://www.mdpi.com/2073-8994/11/9/1067/pdf?version=1566872868","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1492499319","https://openalex.org/W1819447595","https://openalex.org/W1984911166","https://openalex.org/W1987356308","https://openalex.org/W1987795083","https://openalex.org/W2001148506","https://openalex.org/W2004534752","https://openalex.org/W2006747151","https://openalex.org/W2011197824","https://openalex.org/W2012915481","https://openalex.org/W2017816729","https://openalex.org/W2030784590","https://openalex.org/W2071820974","https://openalex.org/W2153290280","https://openalex.org/W2156674770","https://openalex.org/W2165218755","https://openalex.org/W2167932108","https://openalex.org/W2189623837","https://openalex.org/W2340499237","https://openalex.org/W2340602101","https://openalex.org/W2465802930","https://openalex.org/W2481926318","https://openalex.org/W2550371591","https://openalex.org/W2588195252","https://openalex.org/W2606962009","https://openalex.org/W2743848944","https://openalex.org/W2899510438","https://openalex.org/W2906976100","https://openalex.org/W2911181712","https://openalex.org/W2942872985","https://openalex.org/W2944081485","https://openalex.org/W6733613096"],"related_works":["https://openalex.org/W2535206775","https://openalex.org/W2098028537","https://openalex.org/W4221107122","https://openalex.org/W1558422751","https://openalex.org/W2366185040","https://openalex.org/W2140869420","https://openalex.org/W2004616416","https://openalex.org/W2610404083","https://openalex.org/W2382704364","https://openalex.org/W1563486225"],"abstract_inverted_index":{"In":[0,47],"this":[1],"paper,":[2],"a":[3],"kernel":[4,43,98,103,106],"recursive":[5],"maximum":[6,111],"Versoria-like":[7],"criterion":[8,37,113],"(KRMVLC)":[9],"algorithm":[10,63],"has":[11],"been":[12],"constructed,":[13],"derived,":[14],"and":[15,33,90,109],"analyzed":[16],"within":[17],"the":[18,27,34,42,48,51,57,69,83,96,102],"framework":[19],"of":[20,29,95],"nonlinear":[21,70],"adaptive":[22],"filtering":[23],"(AF),":[24],"which":[25],"considers":[26],"benefits":[28],"logarithmic":[30],"second-order":[31],"errors":[32],"symmetry":[35],"maximum-Versoria":[36],"(MVC)":[38],"lying":[39],"in":[40],"reproducing":[41],"Hilbert":[44],"space":[45],"(RKHS).":[46],"devised":[49],"KRMVLC,":[50],"Versoria":[52,112],"approach":[53],"aims":[54],"to":[55],"resist":[56],"impulse":[58],"noise.":[59],"The":[60,78],"proposed":[61],"KRMVLC":[62,84],"was":[64],"carefully":[65],"derived":[66],"for":[67],"taking":[68],"channel":[71],"equalization":[72],"(NCE)":[73],"under":[74],"different":[75],"non-Gaussian":[76,88],"interferences.":[77],"achieved":[79],"results":[80],"verify":[81],"that":[82],"is":[85],"robust":[86],"against":[87],"interferences":[89],"performs":[91],"better":[92],"than":[93],"those":[94],"popular":[97],"AF":[99],"algorithms,":[100],"like":[101],"least-mean-square":[104],"(KLMS),":[105],"least-mixed-mean-square":[107],"(KLMMN),":[108],"Kernel":[110],"(KMVC).":[114]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
