{"id":"https://openalex.org/W2118034382","doi":"https://doi.org/10.1109/78.403347","title":"Harmonic retrieval using higher order statistics: a deterministic formulation","display_name":"Harmonic retrieval using higher order statistics: a deterministic formulation","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W2118034382","doi":"https://doi.org/10.1109/78.403347","mag":"2118034382"},"language":"en","primary_location":{"id":"doi:10.1109/78.403347","is_oa":false,"landing_page_url":"https://doi.org/10.1109/78.403347","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/A5040839555","display_name":"J.M.M. Anderson","orcid":"https://orcid.org/0000-0003-4691-7335"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]},{"id":"https://openalex.org/I51556381","display_name":"University of Virginia","ror":"https://ror.org/0153tk833","country_code":"US","type":"education","lineage":["https://openalex.org/I51556381"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J.M.M. Anderson","raw_affiliation_strings":["Department of Electrical Engineering, University of Virginia, Charlottesville, VA, USA","Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Virginia, Charlottesville, VA, USA","institution_ids":["https://openalex.org/I51556381"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026758314","display_name":"Georgios B. Giannakis","orcid":"https://orcid.org/0000-0002-0196-0260"},"institutions":[{"id":"https://openalex.org/I51556381","display_name":"University of Virginia","ror":"https://ror.org/0153tk833","country_code":"US","type":"education","lineage":["https://openalex.org/I51556381"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G.B. Giannakis","raw_affiliation_strings":["Department of Electrical Engineering, University of Virginia, Charlottesville, VA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Virginia, Charlottesville, VA, USA","institution_ids":["https://openalex.org/I51556381"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103191815","display_name":"Ananthram Swami","orcid":"https://orcid.org/0000-0003-1439-332X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Swami","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5174,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.91369863,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"43","issue":"8","first_page":"1880","last_page":"1889"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9973000288009644,"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":0.9973000288009644,"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/T10860","display_name":"Speech and Audio Processing","score":0.993399977684021,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9933000206947327,"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/higher-order-statistics","display_name":"Higher-order statistics","score":0.7311228513717651},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.6397063732147217},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6159560680389404},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6001860499382019},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5584447979927063},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5556316375732422},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5487695932388306},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4867246448993683},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4701409935951233},{"id":"https://openalex.org/keywords/cumulant","display_name":"Cumulant","score":0.45947495102882385},{"id":"https://openalex.org/keywords/order-statistic","display_name":"Order statistic","score":0.4386574327945709},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4343019723892212},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.42895227670669556},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.425688236951828},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3122090697288513},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2055918276309967}],"concepts":[{"id":"https://openalex.org/C2780576426","wikidata":"https://www.wikidata.org/wiki/Q5757980","display_name":"Higher-order statistics","level":4,"score":0.7311228513717651},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.6397063732147217},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6159560680389404},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6001860499382019},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5584447979927063},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5556316375732422},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5487695932388306},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4867246448993683},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4701409935951233},{"id":"https://openalex.org/C172686274","wikidata":"https://www.wikidata.org/wiki/Q746007","display_name":"Cumulant","level":2,"score":0.45947495102882385},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.4386574327945709},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4343019723892212},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.42895227670669556},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.425688236951828},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3122090697288513},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2055918276309967},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","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},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/78.403347","is_oa":false,"landing_page_url":"https://doi.org/10.1109/78.403347","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1514273098","https://openalex.org/W1520694430","https://openalex.org/W1758436867","https://openalex.org/W1965324089","https://openalex.org/W1967486001","https://openalex.org/W1990890485","https://openalex.org/W2018388266","https://openalex.org/W2019833178","https://openalex.org/W2020524619","https://openalex.org/W2053372316","https://openalex.org/W2056964205","https://openalex.org/W2065054065","https://openalex.org/W2140373512","https://openalex.org/W2149460029","https://openalex.org/W2151773831","https://openalex.org/W2152693249","https://openalex.org/W2161407703","https://openalex.org/W2162443378","https://openalex.org/W2164668136","https://openalex.org/W2325850497","https://openalex.org/W2568392743","https://openalex.org/W2796104303","https://openalex.org/W2797925168","https://openalex.org/W4252873880"],"related_works":["https://openalex.org/W2907162295","https://openalex.org/W2003857655","https://openalex.org/W2543302838","https://openalex.org/W2026563148","https://openalex.org/W2144304265","https://openalex.org/W1956865565","https://openalex.org/W2162241048","https://openalex.org/W2115014067","https://openalex.org/W2403892550","https://openalex.org/W2317854626"],"abstract_inverted_index":{"Given":[0],"a":[1,14,26,52,72,87],"single":[2,53],"record,":[3],"the":[4,7,11,68,92,95,98],"authors":[5,37,93],"consider":[6],"problem":[8],"of":[9,13,33,97],"estimating":[10],"parameters":[12,70],"harmonic":[15],"signal":[16,28],"buried":[17],"in":[18],"noise.":[19,61],"The":[20,36,77],"observed":[21],"data":[22],"are":[23,56],"modeled":[24],"as":[25,44],"sinusoidal":[27],"plus":[29],"additive":[30],"Gaussian":[31,60],"noise":[32],"unknown":[34],"covariance.":[35],"define":[38],"novel":[39],"higher":[40],"order":[41],"statistics-referred":[42],"to":[43,58],"\"mixed\"":[45],"cumulants-that":[46],"can":[47],"be":[48],"consistently":[49],"estimated":[50],"using":[51,71],"record":[54],"and":[55],"insensitive":[57],"colored":[59],"Employing":[62],"fourth-order":[63],"mixed":[64],"cumulants,":[65],"they":[66],"estimate":[67,82],"sinusoid":[69],"consistent,":[73,88],"nonlinear":[74],"matching":[75],"approach.":[76],"algorithm":[78],"requires":[79],"an":[80],"initial":[81],"that":[83],"is":[84],"obtained":[85],"from":[86],"linear":[89],"estimator.":[90],"Finally,":[91],"examine":[94],"performance":[96],"proposed":[99],"method":[100],"via":[101],"simulations.>":[102]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}