{"id":"https://openalex.org/W3126866184","doi":"https://doi.org/10.1109/access.2021.3057454","title":"A Wave Peak Frequency Tracking Method Based on Two-Stage Recursive Extended Least Squares Identification Algorithm","display_name":"A Wave Peak Frequency Tracking Method Based on Two-Stage Recursive Extended Least Squares Identification Algorithm","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3126866184","doi":"https://doi.org/10.1109/access.2021.3057454","mag":"3126866184"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3057454","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3057454","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09349137.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/ielx7/6287639/9312710/09349137.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101929904","display_name":"Jianping Yuan","orcid":"https://orcid.org/0000-0002-3025-9510"},"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/I79223203","display_name":"Guangdong Ocean University","ror":"https://ror.org/0462wa640","country_code":"CN","type":"education","lineage":["https://openalex.org/I79223203"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianping Yuan","raw_affiliation_strings":["College of Ocean Engineering, Guangdong Ocean University, Zhanjiang, China","College of Ship Engineering, Harbin Engineering University, Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Ocean Engineering, Guangdong Ocean University, Zhanjiang, China","institution_ids":["https://openalex.org/I79223203"]},{"raw_affiliation_string":"College of Ship Engineering, Harbin Engineering University, Harbin, China","institution_ids":["https://openalex.org/I151727225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060262298","display_name":"Shun An","orcid":"https://orcid.org/0000-0003-0584-0554"},"institutions":[{"id":"https://openalex.org/I143413998","display_name":"Qingdao University of Science and Technology","ror":"https://ror.org/041j8js14","country_code":"CN","type":"education","lineage":["https://openalex.org/I143413998"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shun An","raw_affiliation_strings":["College of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao, China"],"raw_orcid":"https://orcid.org/0000-0003-0584-0554","affiliations":[{"raw_affiliation_string":"College of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao, China","institution_ids":["https://openalex.org/I143413998"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052247682","display_name":"Xinxiang Pan","orcid":"https://orcid.org/0000-0002-0251-5679"},"institutions":[{"id":"https://openalex.org/I79223203","display_name":"Guangdong Ocean University","ror":"https://ror.org/0462wa640","country_code":"CN","type":"education","lineage":["https://openalex.org/I79223203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinxiang Pan","raw_affiliation_strings":["College of Ocean Engineering, Guangdong Ocean University, Zhanjiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Ocean Engineering, Guangdong Ocean University, Zhanjiang, China","institution_ids":["https://openalex.org/I79223203"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024469023","display_name":"Hongfei Mao","orcid":null},"institutions":[{"id":"https://openalex.org/I79223203","display_name":"Guangdong Ocean University","ror":"https://ror.org/0462wa640","country_code":"CN","type":"education","lineage":["https://openalex.org/I79223203"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongfei Mao","raw_affiliation_strings":["College of Ocean Engineering, Guangdong Ocean University, Zhanjiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Ocean Engineering, Guangdong Ocean University, Zhanjiang, China","institution_ids":["https://openalex.org/I79223203"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048482586","display_name":"Longjin Wang","orcid":"https://orcid.org/0000-0003-1309-714X"},"institutions":[{"id":"https://openalex.org/I143413998","display_name":"Qingdao University of Science and Technology","ror":"https://ror.org/041j8js14","country_code":"CN","type":"education","lineage":["https://openalex.org/I143413998"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Longjin Wang","raw_affiliation_strings":["College of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao, China"],"raw_orcid":"https://orcid.org/0000-0003-1309-714X","affiliations":[{"raw_affiliation_string":"College of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao, China","institution_ids":["https://openalex.org/I143413998"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101929904"],"corresponding_institution_ids":["https://openalex.org/I151727225","https://openalex.org/I79223203"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.8098,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.68825649,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"9","issue":null,"first_page":"86514","last_page":"86522"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10876","display_name":"Fault Detection and Control Systems","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T13717","display_name":"Advanced Algorithms and Applications","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6898937225341797},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6377114057540894},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.5684663653373718},{"id":"https://openalex.org/keywords/recursive-least-squares-filter","display_name":"Recursive least squares filter","score":0.5678521394729614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5664879083633423},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.5452913641929626},{"id":"https://openalex.org/keywords/autoregressive-model","display_name":"Autoregressive model","score":0.5232747793197632},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.4896557927131653},{"id":"https://openalex.org/keywords/autoregressive\u2013moving-average-model","display_name":"Autoregressive\u2013moving-average model","score":0.4849977195262909},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4695860743522644},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.439456969499588},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28887030482292175},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15128734707832336},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.14634239673614502},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1273924708366394},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08455950021743774}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6898937225341797},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6377114057540894},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.5684663653373718},{"id":"https://openalex.org/C145249878","wikidata":"https://www.wikidata.org/wiki/Q2835868","display_name":"Recursive least squares filter","level":3,"score":0.5678521394729614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5664879083633423},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.5452913641929626},{"id":"https://openalex.org/C159877910","wikidata":"https://www.wikidata.org/wiki/Q2202883","display_name":"Autoregressive model","level":2,"score":0.5232747793197632},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.4896557927131653},{"id":"https://openalex.org/C74883015","wikidata":"https://www.wikidata.org/wiki/Q290467","display_name":"Autoregressive\u2013moving-average model","level":3,"score":0.4849977195262909},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4695860743522644},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.439456969499588},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28887030482292175},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15128734707832336},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.14634239673614502},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1273924708366394},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08455950021743774},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"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/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2021.3057454","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3057454","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09349137.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d24867c3ff744aacbe96884c90b35aa1","is_oa":true,"landing_page_url":"https://doaj.org/article/d24867c3ff744aacbe96884c90b35aa1","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 9, Pp 86514-86522 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3057454","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3057454","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09349137.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/G5942254426","display_name":null,"funder_award_id":"JCKYS2019604SXJQR-02","funder_id":"https://openalex.org/F4320335563","funder_display_name":"State Administration for Science, Technology and Industry for National Defense"}],"funders":[{"id":"https://openalex.org/F4320335563","display_name":"State Administration for Science, Technology and Industry for National Defense","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3126866184.pdf","grobid_xml":"https://content.openalex.org/works/W3126866184.grobid-xml"},"referenced_works_count":68,"referenced_works":["https://openalex.org/W1590684588","https://openalex.org/W1971864526","https://openalex.org/W1992970622","https://openalex.org/W1998882039","https://openalex.org/W2002689436","https://openalex.org/W2020599692","https://openalex.org/W2031257398","https://openalex.org/W2047267514","https://openalex.org/W2056987639","https://openalex.org/W2081723199","https://openalex.org/W2091137637","https://openalex.org/W2099823866","https://openalex.org/W2123998235","https://openalex.org/W2154727764","https://openalex.org/W2155614720","https://openalex.org/W2199059241","https://openalex.org/W2317753275","https://openalex.org/W2320034950","https://openalex.org/W2343433775","https://openalex.org/W2486114526","https://openalex.org/W2492811885","https://openalex.org/W2519863903","https://openalex.org/W2523979509","https://openalex.org/W2555870585","https://openalex.org/W2614481326","https://openalex.org/W2751604888","https://openalex.org/W2762679946","https://openalex.org/W2782980652","https://openalex.org/W2792051776","https://openalex.org/W2795713901","https://openalex.org/W2839526029","https://openalex.org/W2900191042","https://openalex.org/W2903250535","https://openalex.org/W2914714419","https://openalex.org/W2915343770","https://openalex.org/W2916827010","https://openalex.org/W2941741524","https://openalex.org/W2951507907","https://openalex.org/W2958339834","https://openalex.org/W2963051645","https://openalex.org/W2980799672","https://openalex.org/W2982824732","https://openalex.org/W2984387681","https://openalex.org/W2984852226","https://openalex.org/W2985826601","https://openalex.org/W2987623830","https://openalex.org/W2993241766","https://openalex.org/W2993509553","https://openalex.org/W2997162143","https://openalex.org/W2997748273","https://openalex.org/W2999256647","https://openalex.org/W2999586015","https://openalex.org/W3000454215","https://openalex.org/W3004910756","https://openalex.org/W3006536688","https://openalex.org/W3009822251","https://openalex.org/W3012661762","https://openalex.org/W3014764454","https://openalex.org/W3017153079","https://openalex.org/W3017977360","https://openalex.org/W3023992121","https://openalex.org/W3026829485","https://openalex.org/W3036353324","https://openalex.org/W3043723847","https://openalex.org/W3084014984","https://openalex.org/W3084331446","https://openalex.org/W3093537666","https://openalex.org/W3143061186"],"related_works":["https://openalex.org/W199725827","https://openalex.org/W4248896451","https://openalex.org/W4394470125","https://openalex.org/W1983856919","https://openalex.org/W4242740646","https://openalex.org/W4254402015","https://openalex.org/W1525886636","https://openalex.org/W1602531054","https://openalex.org/W4239999152","https://openalex.org/W2321086897"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"the":[3,11,41,46,64,69,79,88,91,99,104,110,115],"wave":[4,17,80,105],"peak":[5,81,106],"frequency":[6,82,107],"tracking":[7],"methods":[8],"based":[9],"on":[10],"least":[12,33,56],"squares":[13,34,57],"identification":[14,49,71],"algorithm.":[15],"The":[16],"disturbance":[18],"model":[19,28,42,48],"is":[20,37,60,84],"transformed":[21],"into":[22],"an":[23],"autoregressive":[24],"moving":[25],"average":[26],"(ARMA)":[27],"and":[29,109],"a":[30,52],"recursive":[31,54],"extended":[32,55],"(RELS)":[35],"algorithm":[36,59,112],"derived":[38],"to":[39,62,86],"identify":[40],"parameters":[43],"by":[44,67],"using":[45,68],"auxiliary":[47],"idea.":[50],"Furthermore,":[51],"two-stage":[53],"(2S-RELS)":[58],"presented":[61],"improve":[63,114],"convergence":[65,116],"speed":[66,117],"hierarchical":[70],"principle.":[72],"A":[73],"ship":[74],"heading":[75],"control":[76],"system":[77],"with":[78],"tracker":[83],"built":[85],"evaluate":[87],"effectiveness":[89],"of":[90],"proposed":[92,100],"algorithms.":[93],"Finally,":[94],"simulation":[95],"results":[96],"show":[97],"that":[98],"algorithms":[101],"can":[102,113],"estimate":[103],"accurately":[108],"2S-RELS":[111],"effectively.":[118]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}