{"id":"https://openalex.org/W1934937337","doi":"https://doi.org/10.1109/icassp.1981.1171317","title":"Nonlinear estimation of frequency and phase of a sinusoid in noise","display_name":"Nonlinear estimation of frequency and phase of a sinusoid in noise","publication_year":2005,"publication_date":"2005-03-24","ids":{"openalex":"https://openalex.org/W1934937337","doi":"https://doi.org/10.1109/icassp.1981.1171317","mag":"1934937337"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1981.1171317","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1981.1171317","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '81. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-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/A5001505868","display_name":"Y.T. Chan","orcid":"https://orcid.org/0000-0002-0495-7999"},"institutions":[{"id":"https://openalex.org/I51768193","display_name":"Royal Military College of Canada","ror":"https://ror.org/04yr71909","country_code":"CA","type":"education","lineage":["https://openalex.org/I51768193"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Y. Chan","raw_affiliation_strings":["Department of Electrical Engineering, Royal Military College of Canada, Kingston, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Royal Military College of Canada, Kingston, ONT, Canada","institution_ids":["https://openalex.org/I51768193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112259235","display_name":"Philip M. McCabe","orcid":null},"institutions":[{"id":"https://openalex.org/I51768193","display_name":"Royal Military College of Canada","ror":"https://ror.org/04yr71909","country_code":"CA","type":"education","lineage":["https://openalex.org/I51768193"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"P. McCabe","raw_affiliation_strings":["Department of Electrical Engineering, Royal Military College of Canada, Kingston, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Royal Military College of Canada, Kingston, ONT, Canada","institution_ids":["https://openalex.org/I51768193"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028624025","display_name":"J. Plant","orcid":null},"institutions":[{"id":"https://openalex.org/I51768193","display_name":"Royal Military College of Canada","ror":"https://ror.org/04yr71909","country_code":"CA","type":"education","lineage":["https://openalex.org/I51768193"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J. Plant","raw_affiliation_strings":["Department of Electrical Engineering, Royal Military College of Canada, Kingston, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Royal Military College of Canada, Kingston, ONT, Canada","institution_ids":["https://openalex.org/I51768193"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001505868"],"corresponding_institution_ids":["https://openalex.org/I51768193"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.09064888,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":null,"first_page":"81","last_page":"84"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12300","display_name":"Advanced Electrical Measurement Techniques","score":0.9987999796867371,"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":0.9987999796867371,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9976000189781189,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9921000003814697,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sinusoid","display_name":"Sinusoid","score":0.6752246022224426},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.6460040807723999},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6410474181175232},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.6160494685173035},{"id":"https://openalex.org/keywords/noise-power","display_name":"Noise power","score":0.5473501682281494},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5293185114860535},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4465498626232147},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.44625550508499146},{"id":"https://openalex.org/keywords/phase-noise","display_name":"Phase noise","score":0.42253631353378296},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.36411356925964355},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.34892696142196655},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3322659730911255},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.30237600207328796},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2863042950630188},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.25140300393104553},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.21296989917755127},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2012833058834076},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15983012318611145},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1309482753276825},{"id":"https://openalex.org/keywords/short-time-fourier-transform","display_name":"Short-time Fourier transform","score":0.11512139439582825},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08283132314682007}],"concepts":[{"id":"https://openalex.org/C2776417487","wikidata":"https://www.wikidata.org/wiki/Q103142","display_name":"Sinusoid","level":2,"score":0.6752246022224426},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.6460040807723999},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6410474181175232},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6160494685173035},{"id":"https://openalex.org/C203234222","wikidata":"https://www.wikidata.org/wiki/Q2133519","display_name":"Noise power","level":3,"score":0.5473501682281494},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5293185114860535},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4465498626232147},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.44625550508499146},{"id":"https://openalex.org/C89631360","wikidata":"https://www.wikidata.org/wiki/Q1428766","display_name":"Phase noise","level":2,"score":0.42253631353378296},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.36411356925964355},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34892696142196655},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3322659730911255},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.30237600207328796},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2863042950630188},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.25140300393104553},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.21296989917755127},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2012833058834076},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15983012318611145},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1309482753276825},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.11512139439582825},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08283132314682007},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.1981.1171317","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1981.1171317","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '81. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W265810329","https://openalex.org/W1971347524","https://openalex.org/W2019833178","https://openalex.org/W2037552351","https://openalex.org/W2091696547","https://openalex.org/W2102793106","https://openalex.org/W2110429782","https://openalex.org/W2123405423"],"related_works":["https://openalex.org/W4306957617","https://openalex.org/W2364109525","https://openalex.org/W2085254699","https://openalex.org/W2021517264","https://openalex.org/W2394114487","https://openalex.org/W2516295475","https://openalex.org/W2766639751","https://openalex.org/W2390401148","https://openalex.org/W2038764250","https://openalex.org/W1934937337"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2,85],"approach":[3],"to":[4,79],"the":[5,9,17,24,56,60,66,76,88,96],"problem":[6],"of":[7,13,19,29,50,55,59,68,95],"estimating":[8],"frequency":[10,41,89],"and":[11,53,58,73,90,93,100],"phase":[12,54],"a":[14,30,34],"sinusoid":[15,35,57],"in":[16],"presence":[18],"noise.":[20],"Analytical":[21],"expressions":[22],"for":[23,39,87],"discrete":[25],"Fourier":[26],"Transform":[27],"(DFT)":[28],"finite":[31],"sequence":[32],"containing":[33],"are":[36,48,98,103],"first":[37],"obtained":[38],"each":[40],"component.":[42],"With":[43],"noise,":[44],"these":[45],"DFT":[46,77],"components":[47,78],"functions":[49],"frequency,":[51],"amplitude":[52],"noise":[61],"power":[62],"as":[63,65],"well":[64],"number":[67],"samples.":[69],"Nonlinear":[70],"operations":[71],"(multiplication":[72],"division)":[74],"on":[75],"eliminate":[80],"certain":[81],"variables":[82],"then":[83],"yield":[84],"estimator":[86,97],"phase.":[91],"Means":[92],"variances":[94],"derived":[99],"simulation":[101],"results":[102],"presented.":[104]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
