{"id":"https://openalex.org/W2969650188","doi":"https://doi.org/10.1109/tcsii.2019.2936767","title":"Analysis of Least Stochastic Entropy Adaptive Filters for Noncircular Gaussian Signals","display_name":"Analysis of Least Stochastic Entropy Adaptive Filters for Noncircular Gaussian Signals","publication_year":2019,"publication_date":"2019-08-22","ids":{"openalex":"https://openalex.org/W2969650188","doi":"https://doi.org/10.1109/tcsii.2019.2936767","mag":"2969650188"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2019.2936767","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2936767","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/A5100625603","display_name":"Xing Zhang","orcid":"https://orcid.org/0000-0002-5972-8325"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xing Zhang","raw_affiliation_strings":["School of Information Science and Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007833828","display_name":"Bruno Scalzo Dees","orcid":"https://orcid.org/0000-0003-2527-5492"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Bruno Scalzo Dees","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, U.K","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083864182","display_name":"Chunguo Li","orcid":"https://orcid.org/0000-0002-4689-7226"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunguo Li","raw_affiliation_strings":["School of Information Science and Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005242197","display_name":"Yili Xia","orcid":"https://orcid.org/0000-0002-4402-8131"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yili Xia","raw_affiliation_strings":["School of Information Science and Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045457613","display_name":"L\u00fcxi Yang","orcid":"https://orcid.org/0000-0003-1474-1806"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Luxi Yang","raw_affiliation_strings":["School of Information Science and Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103001848","display_name":"Danilo P. Mandic","orcid":"https://orcid.org/0000-0001-8432-3963"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Danilo P. Mandic","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, U.K","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100625603"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":2.0808,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.86597096,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"67","issue":"7","first_page":"1364","last_page":"1368"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9991999864578247,"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9980999827384949,"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/adaptive-filter","display_name":"Adaptive filter","score":0.650355339050293},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6320663690567017},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5851277709007263},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.5831555724143982},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5502793192863464},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.5340959429740906},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5170048475265503},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48378297686576843},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.42071372270584106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3962347209453583},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3807953894138336},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35574257373809814},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.35311901569366455},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.26948216557502747},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.161746084690094}],"concepts":[{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.650355339050293},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6320663690567017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5851277709007263},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.5831555724143982},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5502793192863464},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.5340959429740906},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5170048475265503},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48378297686576843},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.42071372270584106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3962347209453583},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3807953894138336},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35574257373809814},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.35311901569366455},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.26948216557502747},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.161746084690094},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2019.2936767","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2936767","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/G6127976148","display_name":null,"funder_award_id":"61671144","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8335968205","display_name":null,"funder_award_id":"61771124","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W639989723","https://openalex.org/W1488435683","https://openalex.org/W1492221128","https://openalex.org/W1513230388","https://openalex.org/W1538882755","https://openalex.org/W1975492575","https://openalex.org/W1993391362","https://openalex.org/W1999542175","https://openalex.org/W2045300428","https://openalex.org/W2051563250","https://openalex.org/W2100660074","https://openalex.org/W2113089847","https://openalex.org/W2118184682","https://openalex.org/W2149221450","https://openalex.org/W2169571074","https://openalex.org/W2294288691","https://openalex.org/W2476841360","https://openalex.org/W2743707579","https://openalex.org/W2789481185","https://openalex.org/W2801725476","https://openalex.org/W4211251910"],"related_works":["https://openalex.org/W2102148524","https://openalex.org/W2314720829","https://openalex.org/W2788344745","https://openalex.org/W4385074335","https://openalex.org/W2062336688","https://openalex.org/W2626189183","https://openalex.org/W2910677864","https://openalex.org/W2886934452","https://openalex.org/W1489099099","https://openalex.org/W2024369332"],"abstract_inverted_index":{"Complex":[0],"noncircularity":[1],"is":[2,32,53,74,100,125],"the":[3,14,17,26,37,50,61,70,86,91,104,109,123,138,143,146,150,155],"manifestation":[4],"of":[5,16,60,63,90,107,137,142],"a":[6,57,134],"rotation-dependent":[7],"probability":[8],"distribution,":[9],"and":[10,114,130],"can":[11],"arise":[12],"from":[13],"properties":[15],"input":[18],"signal":[19],"and/or":[20],"system":[21,151],"noise.":[22],"In":[23],"contrast":[24],"to":[25,127,131],"standard":[27],"mean-square":[28,119],"error":[29,52,111,140],"(MSE),":[30],"it":[31],"now":[33],"well":[34],"understood":[35],"that":[36],"minimum":[38],"Gaussian":[39],"entropy":[40,71,94],"criterion":[41],"provides":[42],"statistically":[43],"optimal":[44],"complex-valued":[45],"adaptive":[46,65,96],"filters,":[47],"even":[48],"when":[49],"estimation":[51],"noncircular":[54],"Gaussian.":[55],"However,":[56],"rigorous":[58],"analysis":[59],"class":[62],"information-theoretic":[64],"filtering":[66,97],"algorithms":[67],"based":[68],"on":[69,122],"cost":[72],"function":[73],"still":[75],"under":[76],"investigation.":[77],"To":[78],"this":[79],"end,":[80],"we":[81],"provide":[82],"physical":[83],"insights":[84],"into":[85],"full":[87],"second-order":[88],"performance":[89],"least":[92],"stochastic":[93],"(LSE)":[95],"algorithm.":[98],"This":[99],"achieved":[101],"by":[102],"considering":[103],"coupled":[105],"evolution":[106],"both":[108],"weight":[110,139],"covariance":[112,116],"matrix":[113],"complementary":[115],"matrix.":[117],"A":[118],"stability":[120],"bound":[121],"step-size":[124],"established":[126],"guarantee":[128],"convergence,":[129],"allow":[132],"for":[133],"closed-form":[135],"evaluation":[136],"variance":[141],"LSE":[144],"at":[145],"steady-state.":[147],"Simulations":[148],"in":[149],"identification":[152],"setting":[153],"support":[154],"analysis.":[156]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}