{"id":"https://openalex.org/W3092220661","doi":"https://doi.org/10.1109/tsp.2020.3029884","title":"Variable Step-Size Widely Linear Complex-Valued Affine Projection Algorithm and Performance Analysis","display_name":"Variable Step-Size Widely Linear Complex-Valued Affine Projection Algorithm and Performance Analysis","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3092220661","doi":"https://doi.org/10.1109/tsp.2020.3029884","mag":"3092220661"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2020.3029884","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.3029884","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/A5079866846","display_name":"Long Shi","orcid":"https://orcid.org/0000-0002-1605-6186"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Long Shi","raw_affiliation_strings":["Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, Southwest Jiaotong University","School of Electrical Engineering, Southwest Jiaotong University, Chengdu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, Southwest Jiaotong University","institution_ids":["https://openalex.org/I4800084"]},{"raw_affiliation_string":"School of Electrical Engineering, Southwest Jiaotong University, Chengdu, People's Republic of China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050937458","display_name":"Haiquan Zhao","orcid":"https://orcid.org/0000-0003-0198-1384"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haiquan Zhao","raw_affiliation_strings":["Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, Southwest Jiaotong University","School of Electrical Engineering, Southwest Jiaotong University, Chengdu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, Southwest Jiaotong University","institution_ids":["https://openalex.org/I4800084"]},{"raw_affiliation_string":"School of Electrical Engineering, Southwest Jiaotong University, Chengdu, People's Republic of China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020467027","display_name":"Yuriy Zakharov","orcid":"https://orcid.org/0000-0002-2193-4334"},"institutions":[{"id":"https://openalex.org/I52099693","display_name":"University of York","ror":"https://ror.org/04m01e293","country_code":"GB","type":"education","lineage":["https://openalex.org/I52099693"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yuriy Zakharov","raw_affiliation_strings":["Department of Electronic Engineering, University of York, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, University of York, U.K","institution_ids":["https://openalex.org/I52099693"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077852542","display_name":"Badong Chen","orcid":"https://orcid.org/0000-0003-1710-3818"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Badong Chen","raw_affiliation_strings":["Institute of Artificial Intelligence and Robotics, Xi\u2019an Jiaotong University, Xi\u2019an, People's Republic of China","Institute of Artificial Intelligence and Robotics, Xi'an Jiaotong University, Xi'an, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Institute of Artificial Intelligence and Robotics, Xi\u2019an Jiaotong University, Xi\u2019an, People's Republic of China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Institute of Artificial Intelligence and Robotics, Xi'an Jiaotong University, Xi'an, People's Republic of China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006378701","display_name":"Yaoru Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I52099693","display_name":"University of York","ror":"https://ror.org/04m01e293","country_code":"GB","type":"education","lineage":["https://openalex.org/I52099693"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yaoru Yang","raw_affiliation_strings":["Department of Electronic Engineering, University of York, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, University of York, U.K","institution_ids":["https://openalex.org/I52099693"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5079866846"],"corresponding_institution_ids":["https://openalex.org/I4800084"],"apc_list":null,"apc_paid":null,"fwci":6.2869,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.97931792,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"68","issue":null,"first_page":"5940","last_page":"5953"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9994000196456909,"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/T10860","display_name":"Speech and Audio Processing","score":0.998199999332428,"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/algorithm","display_name":"Algorithm","score":0.6189061403274536},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5682429075241089},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5367836356163025},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5111656785011292},{"id":"https://openalex.org/keywords/affine-combination","display_name":"Affine combination","score":0.5013160705566406},{"id":"https://openalex.org/keywords/kronecker-delta","display_name":"Kronecker delta","score":0.46633100509643555},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4498412609100342},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.446732759475708},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.42280927300453186},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3987102806568146},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36021339893341064},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12586179375648499}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6189061403274536},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5682429075241089},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5367836356163025},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5111656785011292},{"id":"https://openalex.org/C207221997","wikidata":"https://www.wikidata.org/wiki/Q938614","display_name":"Affine combination","level":3,"score":0.5013160705566406},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.46633100509643555},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4498412609100342},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.446732759475708},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.42280927300453186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3987102806568146},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36021339893341064},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12586179375648499},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/tsp.2020.3029884","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.3029884","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:eprints.whiterose.ac.uk:166398","is_oa":false,"landing_page_url":"https://orcid.org/0000-0002-2193-4334>","pdf_url":null,"source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8199999928474426}],"awards":[{"id":"https://openalex.org/G2588421099","display_name":null,"funder_award_id":"D-CX201819","funder_id":"https://openalex.org/F4320322720","funder_display_name":"Southwest Jiaotong University"},{"id":"https://openalex.org/G4798944446","display_name":null,"funder_award_id":"EP/R003297/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6212510350","display_name":null,"funder_award_id":"EP/P017975/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320322720","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W608690979","https://openalex.org/W1492221128","https://openalex.org/W1544576535","https://openalex.org/W1547069917","https://openalex.org/W1595456774","https://openalex.org/W1974336896","https://openalex.org/W1976823255","https://openalex.org/W1977198177","https://openalex.org/W1980072023","https://openalex.org/W1983458885","https://openalex.org/W1995020535","https://openalex.org/W1999542175","https://openalex.org/W2007477575","https://openalex.org/W2041848269","https://openalex.org/W2042663762","https://openalex.org/W2058631965","https://openalex.org/W2058705882","https://openalex.org/W2065804682","https://openalex.org/W2067489830","https://openalex.org/W2070565404","https://openalex.org/W2075110641","https://openalex.org/W2085222535","https://openalex.org/W2096040597","https://openalex.org/W2097460654","https://openalex.org/W2097877425","https://openalex.org/W2098454198","https://openalex.org/W2099820907","https://openalex.org/W2105591650","https://openalex.org/W2109963088","https://openalex.org/W2111143454","https://openalex.org/W2111148500","https://openalex.org/W2117161260","https://openalex.org/W2119099945","https://openalex.org/W2128135243","https://openalex.org/W2129270815","https://openalex.org/W2132749914","https://openalex.org/W2136541117","https://openalex.org/W2143643945","https://openalex.org/W2149673267","https://openalex.org/W2151346244","https://openalex.org/W2160498832","https://openalex.org/W2166922380","https://openalex.org/W2476841360","https://openalex.org/W2482792214","https://openalex.org/W2624725900","https://openalex.org/W2746354953","https://openalex.org/W2766913514","https://openalex.org/W2895674046","https://openalex.org/W2897636765","https://openalex.org/W2902938040","https://openalex.org/W2914214411","https://openalex.org/W2938661107","https://openalex.org/W2958887124","https://openalex.org/W4243330440","https://openalex.org/W6681126137","https://openalex.org/W6681965573","https://openalex.org/W6759361753"],"related_works":["https://openalex.org/W2038416447","https://openalex.org/W2073801174","https://openalex.org/W2354159744","https://openalex.org/W2077614002","https://openalex.org/W2100544925","https://openalex.org/W1965628666","https://openalex.org/W2773810497","https://openalex.org/W2022620565","https://openalex.org/W2600867691","https://openalex.org/W2306105624"],"abstract_inverted_index":{"In":[0,71],"this":[1],"paper,":[2],"a":[3,33,121],"variable":[4,20],"step-size":[5,21],"widely":[6],"linear":[7],"complex-valued":[8],"affine":[9,146],"projection":[10,126,147],"algorithm":[11,169],"(VSS-WLCAPA)":[12],"is":[13,23,90,113,131,139],"proposed":[14,168,186],"for":[15,92,144,159],"processing":[16],"noncircular":[17],"signals.":[18],"The":[19,135],"(VSS)":[22],"derived":[24,114],"by":[25,115],"minimizing":[26],"the":[27,30,40,44,49,52,56,64,68,72,78,81,86,95,100,103,108,111,125,151,154,164,167,172,175,182,185],"power":[28],"of":[29,51,55,67,94,107,110,153,166,174,184],"augmented":[31],"noise-free":[32],"posteriori":[34],"error":[35,58,83,112],"vector,":[36,59,88],"which":[37,89],"speeds":[38],"up":[39],"convergence":[41],"and":[42,85,170],"reduces":[43,128],"steady-state":[45],"misalignment.":[46],"By":[47],"exploiting":[48],"evolution":[50],"covariance":[53],"matrix":[54],"weight":[57,82],"we":[60,74],"provide":[61],"insight":[62],"into":[63,76],"theoretical":[65,96,137,176],"behavior":[66],"VSS-WLCAPA":[69,187],"algorithm.":[70],"analysis,":[73],"take":[75],"account":[77],"dependency":[79],"between":[80],"vector":[84],"noise":[87],"useful":[91],"accuracy":[93,173],"prediction.":[97],"To":[98],"evaluate":[99],"mean":[101],"step-size,":[102],"probability":[104],"density":[105],"function":[106],"magnitude":[109],"employing":[116],"polar":[117],"coordinate":[118],"transformation.":[119],"Moreover,":[120],"special":[122],"case":[123],"when":[124],"order":[127],"to":[129,150],"one":[130],"analysed":[132],"in":[133],"detail.":[134],"presented":[136],"analysis":[138],"different":[140],"from":[141],"existing":[142],"methodologies":[143],"analyzing":[145],"algorithms":[148],"due":[149],"use":[152],"Kronecker":[155],"product.":[156],"Simulation":[157],"results":[158],"system":[160],"identification":[161],"scenarios":[162],"demonstrate":[163],"merits":[165],"verify":[171],"analysis.":[177],"Wind":[178],"prediction":[179],"experiments":[180],"support":[181],"superiority":[183],"as":[188],"well.":[189]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":18},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}