{"id":"https://openalex.org/W2167115386","doi":"https://doi.org/10.1155/2014/903426","title":"A Computationally Efficient Iterative Algorithm for Estimating the Parameter of Chirp Signal Model","display_name":"A Computationally Efficient Iterative Algorithm for Estimating the Parameter of Chirp Signal Model","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2167115386","doi":"https://doi.org/10.1155/2014/903426","mag":"2167115386"},"language":"en","primary_location":{"id":"doi:10.1155/2014/903426","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/903426","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/903426.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/903426.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077814036","display_name":"Jiawen Bian","orcid":"https://orcid.org/0000-0002-2017-7845"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiawen Bian","raw_affiliation_strings":["School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101934616","display_name":"Jing Xing","orcid":"https://orcid.org/0000-0003-3397-0655"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]},{"id":"https://openalex.org/I4210099437","display_name":"Hubei University Of Economics","ror":"https://ror.org/012a84b59","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210099437"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Xing","raw_affiliation_strings":["Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, China","Institute of Statistics, Hubei University of Economics, Wuhan 430205, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, China","institution_ids":["https://openalex.org/I3124059619"]},{"raw_affiliation_string":"Institute of Statistics, Hubei University of Economics, Wuhan 430205, China","institution_ids":["https://openalex.org/I4210099437"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100337906","display_name":"Zhihui Liu","orcid":"https://orcid.org/0000-0002-4232-7154"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhihui Liu","raw_affiliation_strings":["School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089239586","display_name":"Lihua Fu","orcid":"https://orcid.org/0000-0002-3722-8880"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lihua Fu","raw_affiliation_strings":["School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100690418","display_name":"Hongwei Li","orcid":"https://orcid.org/0000-0002-7792-8611"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongwei Li","raw_affiliation_strings":["School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China","institution_ids":["https://openalex.org/I3124059619"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100690418"],"corresponding_institution_ids":["https://openalex.org/I3124059619"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.17791518,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9991000294685364,"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/T10891","display_name":"Radar Systems and Signal Processing","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.7323285341262817},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4213165044784546}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7323285341262817},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4213165044784546}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/903426","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/903426","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/903426.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425050628","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425050628","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:903426","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/903426.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:6875cc4a08954e9db9e8608413349ef4","is_oa":false,"landing_page_url":"https://doaj.org/article/6875cc4a08954e9db9e8608413349ef4","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/903426","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/903426","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/903426.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2895212994","display_name":null,"funder_award_id":"NCET-13","funder_id":"https://openalex.org/F4320334924","funder_display_name":"Program for New Century Excellent Talents in University"},{"id":"https://openalex.org/G5659001674","display_name":null,"funder_award_id":"NCET-13-1011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5988714884","display_name":null,"funder_award_id":"CUGL140422","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7325230361","display_name":null,"funder_award_id":"11126274","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8388280645","display_name":null,"funder_award_id":"NCET-13-","funder_id":"https://openalex.org/F4320334924","funder_display_name":"Program for New Century Excellent Talents in University"},{"id":"https://openalex.org/G8628149691","display_name":null,"funder_award_id":"61302138","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G877393814","display_name":null,"funder_award_id":"NCET-13","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"},{"id":"https://openalex.org/F4320328899","display_name":"China University of Geosciences","ror":null},{"id":"https://openalex.org/F4320334924","display_name":"Program for New Century Excellent Talents in University","ror":"https://ror.org/01mv9t934"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2167115386.pdf","grobid_xml":"https://content.openalex.org/works/W2167115386.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W86549454","https://openalex.org/W1536656161","https://openalex.org/W1966032405","https://openalex.org/W1968698031","https://openalex.org/W1983829281","https://openalex.org/W2011270065","https://openalex.org/W2011422963","https://openalex.org/W2014333016","https://openalex.org/W2033987028","https://openalex.org/W2039644648","https://openalex.org/W2041025639","https://openalex.org/W2049015561","https://openalex.org/W2049287603","https://openalex.org/W2057656373","https://openalex.org/W2082667595","https://openalex.org/W2098670919","https://openalex.org/W2101539484","https://openalex.org/W2115541274","https://openalex.org/W2121187169","https://openalex.org/W2122398773","https://openalex.org/W2127987118","https://openalex.org/W2139106846","https://openalex.org/W2144145044","https://openalex.org/W2144555740","https://openalex.org/W2145258144","https://openalex.org/W2155025946","https://openalex.org/W2158617925","https://openalex.org/W2161578447","https://openalex.org/W2162267159","https://openalex.org/W2164631843","https://openalex.org/W2166265025","https://openalex.org/W2171923085","https://openalex.org/W2186343274","https://openalex.org/W3151807103","https://openalex.org/W3215888639","https://openalex.org/W4235391386","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"The":[0,128,155],"parameter":[1],"estimation":[2],"of":[3,34,67,77,130,151,157,177,195],"Chirp":[4],"signal":[5,100,121,145],"model":[6,37],"in":[7,65],"additive":[8],"noises":[9,13],"when":[10,147],"all":[11],"the":[12,31,35,40,53,56,74,78,88,109,131,136,142,148,174,193,196],"are":[14,189],"independently":[15],"and":[16,45,61,69,102,135],"identically":[17],"distributed":[18],"(i.i.d.)":[19],"has":[20],"been":[21],"considered.":[22],"A":[23],"novel":[24],"iterative":[25,41,57],"algorithm":[26,58],"is":[27,50,59,80,133,139,150,163],"proposed":[28],"to":[29,166,191],"estimate":[30],"frequency":[32,158],"rate":[33,76,159],"considered":[36],"by":[38,124],"constructing":[39],"statistics":[42],"with":[43,160],"one-lag":[44,98],"multilag":[46,119,143],"differential":[47,99,120,144],"signals.":[48],"It":[49],"observed":[51],"that":[52],"estimator":[54,79,90,111,156,179],"for":[55,141],"consistent":[60],"works":[62],"quite":[63],"well":[64,172],"terms":[66],"biases":[68],"mean":[70],"squared":[71],"errors.":[72],"Moreover,":[73],"convergence":[75],"improved":[81],"from<mml:math":[82,103],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[83,92,104,113,153],"id=\"M1\"><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:mo":[84],"stretchy=\"false\">(</mml:mo><mml:msup><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn":[85,106],"fontstyle=\"italic\">1</mml:mn></mml:mrow></mml:msup><mml:mo":[86],"stretchy=\"false\">)</mml:mo></mml:math>of":[87,108],"initial":[89,110],"to<mml:math":[91,112],"id=\"M2\"><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:mo":[93],"stretchy=\"false\">(</mml:mo><mml:msup><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn":[94,115],"fontstyle=\"italic\">3</mml:mn></mml:mrow><mml:mo>/</mml:mo><mml:mrow><mml:mn":[95],"fontstyle=\"italic\">2</mml:mn></mml:mrow></mml:mrow></mml:mrow></mml:msup><mml:mo":[96,117],"stretchy=\"false\">)</mml:mo></mml:math>for":[97,118],"condition":[101,146],"id=\"M3\"><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:mo":[105],"fontstyle=\"italic\">2</mml:mn></mml:mrow></mml:msup><mml:mo":[107],"id=\"M4\"><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:mo":[114],"fontstyle=\"italic\">5</mml:mn></mml:mrow><mml:mo>/</mml:mo><mml:mrow><mml:mn":[116],"condition,":[122],"respectively,":[123],"only":[125],"three":[126],"iterations.":[127],"range":[129],"lag":[132,138,149,162],"discussed":[134],"optimal":[137,161],"obtained":[140],"order<mml:math":[152],"id=\"M5\"><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:math>.":[154],"very":[164],"close":[165],"Cramer-Rao":[167],"lower":[168],"bound":[169],"(CRLB)":[170],"as":[171,173],"asymptotic":[175],"variance":[176],"least-squares":[178],"(LSE)":[180],"at":[181],"moderate":[182],"signal-to-noise":[183],"ratio":[184],"(SNR).":[185],"Finally,":[186],"simulation":[187],"experiments":[188],"performed":[190],"verify":[192],"effectiveness":[194],"algorithm.":[197]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
