{"id":"https://openalex.org/W1981142889","doi":"https://doi.org/10.1109/lsp.2009.2024857","title":"Instantaneous Frequency Rate Estimation for High-Order Polynomial-Phase Signals","display_name":"Instantaneous Frequency Rate Estimation for High-Order Polynomial-Phase Signals","publication_year":2009,"publication_date":"2009-06-10","ids":{"openalex":"https://openalex.org/W1981142889","doi":"https://doi.org/10.1109/lsp.2009.2024857","mag":"1981142889"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2009.2024857","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2009.2024857","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","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/A5100383504","display_name":"Pu Wang","orcid":"https://orcid.org/0000-0001-6456-4479"},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pu Wang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, NJ, USA","Dept. of Electr. & Comput. Eng., Stevens Inst. of Technol., Hoboken, NJ, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, NJ, USA","institution_ids":["https://openalex.org/I108468826"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Stevens Inst. of Technol., Hoboken, NJ, USA#TAB#","institution_ids":["https://openalex.org/I108468826"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100365817","display_name":"Hongbin Li","orcid":"https://orcid.org/0000-0003-1453-847X"},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hongbin Li","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, NJ, USA","Dept. of Electr. & Comput. Eng., Stevens Inst. of Technol., Hoboken, NJ, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, NJ, USA","institution_ids":["https://openalex.org/I108468826"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Stevens Inst. of Technol., Hoboken, NJ, USA#TAB#","institution_ids":["https://openalex.org/I108468826"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011621698","display_name":"Igor Djurovi\u0107","orcid":"https://orcid.org/0000-0003-3856-2706"},"institutions":[{"id":"https://openalex.org/I5936373","display_name":"University of Montenegro","ror":"https://ror.org/02drrjp49","country_code":"ME","type":"education","lineage":["https://openalex.org/I5936373"]}],"countries":["ME"],"is_corresponding":false,"raw_author_name":"I. Djurovic","raw_affiliation_strings":["Electrical Engineering Department, University of Montenegro, Podgorica, Montenegro","[Electrical Engineering Department, University of Montenegro, Podgorica, Montenegro]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of Montenegro, Podgorica, Montenegro","institution_ids":["https://openalex.org/I5936373"]},{"raw_affiliation_string":"[Electrical Engineering Department, University of Montenegro, Podgorica, Montenegro]","institution_ids":["https://openalex.org/I5936373"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012490058","display_name":"Braham Himed","orcid":"https://orcid.org/0000-0003-0053-6270"},"institutions":[{"id":"https://openalex.org/I1280414376","display_name":"United States Air Force Research Laboratory","ror":"https://ror.org/02e2egq70","country_code":"US","type":"facility","lineage":["https://openalex.org/I1280414376","https://openalex.org/I1330347796","https://openalex.org/I4210102105","https://openalex.org/I4389425425"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"B. Himed","raw_affiliation_strings":["AFRL/RYRT, Dayton, OH, USA","AFRL/RYRT, Dayton, OH USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"AFRL/RYRT, Dayton, OH, USA","institution_ids":["https://openalex.org/I1280414376"]},{"raw_affiliation_string":"AFRL/RYRT, Dayton, OH USA","institution_ids":["https://openalex.org/I1280414376"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2011,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.79485592,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"16","issue":"9","first_page":"782","last_page":"785"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12300","display_name":"Advanced Electrical Measurement Techniques","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12300","display_name":"Advanced Electrical Measurement Techniques","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9937999844551086,"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/T12004","display_name":"Advanced Frequency and Time Standards","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.8716333508491516},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.7024165987968445},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6227179169654846},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5234434008598328},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4430852234363556},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4274469017982483},{"id":"https://openalex.org/keywords/instantaneous-phase","display_name":"Instantaneous phase","score":0.4113551676273346},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40670526027679443},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.40471190214157104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21837261319160461},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10880318284034729},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09872111678123474}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.8716333508491516},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.7024165987968445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6227179169654846},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5234434008598328},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4430852234363556},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4274469017982483},{"id":"https://openalex.org/C137798554","wikidata":"https://www.wikidata.org/wiki/Q6038852","display_name":"Instantaneous phase","level":3,"score":0.4113551676273346},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40670526027679443},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.40471190214157104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21837261319160461},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10880318284034729},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09872111678123474},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2009.2024857","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2009.2024857","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1648369087","https://openalex.org/W1966032405","https://openalex.org/W2016971088","https://openalex.org/W2039644648","https://openalex.org/W2103640336","https://openalex.org/W2121187169","https://openalex.org/W2139106846","https://openalex.org/W2154279661","https://openalex.org/W2161578447","https://openalex.org/W2170021087"],"related_works":["https://openalex.org/W2922895105","https://openalex.org/W3125536267","https://openalex.org/W2274645452","https://openalex.org/W1999706086","https://openalex.org/W2521753262","https://openalex.org/W3150274214","https://openalex.org/W3123431136","https://openalex.org/W2162273697","https://openalex.org/W2390291433","https://openalex.org/W1548785303"],"abstract_inverted_index":{"<para":[0],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[1],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[2],"Instantaneous":[3],"frequency":[4],"rate":[5],"(IFR)":[6],"estimation":[7],"for":[8],"high-order":[9],"polynomial":[10],"phase":[11,81],"signals":[12],"(PPSs)":[13],"is":[14,25,37,75],"considered.":[15],"Specifically,":[16],"an":[17],"IFR":[18,35,66,73],"estimator":[19,36,51,67,74],"with":[20],"only":[21],"a":[22,40,53,57,64,84],"second-order":[23],"nonlinearity":[24],"proposed.":[26],"The":[27,71],"asymptotic":[28],"mean-squared":[29],"error":[30],"(MSE)":[31],"of":[32,83,94],"the":[33,49,80,92,95],"proposed":[34,50,72,96],"obtained":[38],"via":[39],"multivariate":[41],"first-order":[42],"perturbation":[43],"analysis.":[44],"Our":[45],"results":[46],"show":[47],"that":[48],"yields":[52],"smaller":[54],"MSE":[55],"and":[56],"lower":[58],"signal-to-noise":[59],"ratio":[60],"(SNR)":[61],"threshold":[62],"than":[63],"popular":[65],"involving":[68],"higher":[69],"nonlinearity.":[70],"also":[76],"extended":[77],"to":[78,90],"estimate":[79],"parameters":[82],"PPS.":[85],"Numerical":[86],"studies":[87],"are":[88],"presented":[89],"illustrate":[91],"performance":[93],"estimator.":[97],"</para>":[98]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
