{"id":"https://openalex.org/W2148723353","doi":"https://doi.org/10.1109/tassp.1986.1164949","title":"Exact maximum likelihood parameter estimation of superimposed exponential signals in noise","display_name":"Exact maximum likelihood parameter estimation of superimposed exponential signals in noise","publication_year":1986,"publication_date":"1986-10-01","ids":{"openalex":"https://openalex.org/W2148723353","doi":"https://doi.org/10.1109/tassp.1986.1164949","mag":"2148723353"},"language":"en","primary_location":{"id":"doi:10.1109/tassp.1986.1164949","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1986.1164949","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Acoustics, Speech, and 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/A5026523226","display_name":"Yoram Bresler","orcid":"https://orcid.org/0000-0002-9738-1094"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Y. Bresler","raw_affiliation_strings":["Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041785812","display_name":"Albert Macovski","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Macovski","raw_affiliation_strings":["Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":13.8558,"has_fulltext":false,"cited_by_count":770,"citation_normalized_percentile":{"value":0.9953271,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"34","issue":"5","first_page":"1081","last_page":"1089"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9994000196456909,"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9994000196456909,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9950000047683716,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9944000244140625,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.629865288734436},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6157584190368652},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.565628170967102},{"id":"https://openalex.org/keywords/expectation\u2013maximization-algorithm","display_name":"Expectation\u2013maximization algorithm","score":0.5519301295280457},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5367463827133179},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5128521919250488},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.5033463835716248},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.48746538162231445},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.473742812871933},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.46588391065597534},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.43358561396598816},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4304690361022949},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.412725031375885},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3826955556869507},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2355535924434662},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10688170790672302}],"concepts":[{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.629865288734436},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6157584190368652},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.565628170967102},{"id":"https://openalex.org/C182081679","wikidata":"https://www.wikidata.org/wiki/Q1275153","display_name":"Expectation\u2013maximization algorithm","level":3,"score":0.5519301295280457},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5367463827133179},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5128521919250488},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.5033463835716248},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.48746538162231445},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.473742812871933},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.46588391065597534},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.43358561396598816},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4304690361022949},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.412725031375885},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3826955556869507},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2355535924434662},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10688170790672302},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tassp.1986.1164949","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1986.1164949","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Acoustics, Speech, and Signal Processing","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":31,"referenced_works":["https://openalex.org/W1587572866","https://openalex.org/W1593133034","https://openalex.org/W1677105421","https://openalex.org/W1879156988","https://openalex.org/W1928873049","https://openalex.org/W1977691557","https://openalex.org/W2001188690","https://openalex.org/W2018089423","https://openalex.org/W2019833178","https://openalex.org/W2039486813","https://openalex.org/W2054278438","https://openalex.org/W2059164236","https://openalex.org/W2059862441","https://openalex.org/W2069508080","https://openalex.org/W2070412455","https://openalex.org/W2089957712","https://openalex.org/W2096710051","https://openalex.org/W2100991756","https://openalex.org/W2113638573","https://openalex.org/W2117457712","https://openalex.org/W2130991928","https://openalex.org/W2134392874","https://openalex.org/W2137050361","https://openalex.org/W2138680881","https://openalex.org/W2141358961","https://openalex.org/W2145823187","https://openalex.org/W2162443378","https://openalex.org/W2165887549","https://openalex.org/W2167777948","https://openalex.org/W2313953460","https://openalex.org/W3031689935"],"related_works":["https://openalex.org/W1978153144","https://openalex.org/W102848802","https://openalex.org/W1976188970","https://openalex.org/W2982058819","https://openalex.org/W4252706329","https://openalex.org/W2130734797","https://openalex.org/W2172249169","https://openalex.org/W3176361882","https://openalex.org/W2990541822","https://openalex.org/W2371827284"],"abstract_inverted_index":{"A":[0],"unified":[1],"framework":[2],"for":[3,32,52],"the":[4,10,20,24,33,41,46,53,66,72,77,110],"exact":[5,30],"maximum":[6],"likelihood":[7],"estimation":[8],"of":[9,12,40,45,55,68,82],"parameters":[11],"superimposed":[13],"exponential":[14],"signals":[15],"in":[16,38,65,71],"noise,":[17],"encompassing":[18],"both":[19],"time":[21],"series":[22],"and":[23,48,123],"array":[25,73],"problems,":[26],"is":[27,36,58,62,94,113],"presented.":[28,59],"An":[29],"expression":[31],"ML":[34],"criterion":[35,57],"derived":[37,99],"terms":[39],"linear":[42],"prediction":[43],"polynomial":[44],"signal,":[47],"an":[49],"iterative":[50],"algorithm":[51,61,93],"maximization":[54],"this":[56],"The":[60,92],"equally":[63],"applicable":[64],"case":[67],"signal":[69],"coherence":[70],"problem.":[74],"Simulation":[75],"shows":[76],"estimator":[78],"to":[79,96,106,115],"be":[80],"capable":[81],"providing":[83],"more":[84],"accurate":[85],"frequency":[86],"estimates":[87],"than":[88],"currently":[89],"existing":[90],"techniques.":[91],"similar":[95],"those":[97],"independently":[98],"by":[100],"Kumaresan":[101],"et":[102],"al.":[103],"In":[104],"addition":[105],"its":[107],"practical":[108],"value,":[109],"present":[111],"formulation":[112],"used":[114],"interpret":[116],"previous":[117],"methods":[118],"such":[119],"as":[120],"Prony's,":[121],"Pisarenko's,":[122],"modifications":[124],"thereof.":[125]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":32},{"year":2018,"cited_by_count":21},{"year":2017,"cited_by_count":16},{"year":2016,"cited_by_count":19},{"year":2015,"cited_by_count":20},{"year":2014,"cited_by_count":27},{"year":2013,"cited_by_count":31},{"year":2012,"cited_by_count":21}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
