{"id":"https://openalex.org/W2167218293","doi":"https://doi.org/10.1109/tsp.2009.2031299","title":"Estimation of the Frequency and Decay Factor of a Decaying Exponential in Noise","display_name":"Estimation of the Frequency and Decay Factor of a Decaying Exponential in Noise","publication_year":2009,"publication_date":"2009-09-04","ids":{"openalex":"https://openalex.org/W2167218293","doi":"https://doi.org/10.1109/tsp.2009.2031299","mag":"2167218293"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2009.2031299","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2009.2031299","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/A5003057050","display_name":"Elias Aboutanios","orcid":"https://orcid.org/0000-0003-1596-4999"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"E. Aboutanios","raw_affiliation_strings":["School of Electrical Engineering and Telecommunications, University of New South Wales, Sydney, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Telecommunications, University of New South Wales, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003057050"],"corresponding_institution_ids":["https://openalex.org/I31746571"],"apc_list":null,"apc_paid":null,"fwci":2.4408,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.89713095,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"58","issue":"2","first_page":"501","last_page":"509"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12300","display_name":"Advanced Electrical Measurement Techniques","score":0.9973999857902527,"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":0.9973999857902527,"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/T11236","display_name":"Control Systems and Identification","score":0.9904000163078308,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7955845594406128},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6335353851318359},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6270519495010376},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5917105674743652},{"id":"https://openalex.org/keywords/bin","display_name":"Bin","score":0.581368088722229},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.5428556799888611},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5054519176483154},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5041543245315552},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49301907420158386},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.48175930976867676},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.45642492175102234},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4133458137512207},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39845603704452515},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24233204126358032},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14870807528495789},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08969387412071228}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7955845594406128},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6335353851318359},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6270519495010376},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5917105674743652},{"id":"https://openalex.org/C156273044","wikidata":"https://www.wikidata.org/wiki/Q4913766","display_name":"Bin","level":2,"score":0.581368088722229},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.5428556799888611},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5054519176483154},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5041543245315552},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49301907420158386},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.48175930976867676},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.45642492175102234},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4133458137512207},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39845603704452515},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24233204126358032},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14870807528495789},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08969387412071228},{"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/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2009.2031299","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2009.2031299","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1797956629","https://openalex.org/W1914762032","https://openalex.org/W1967672332","https://openalex.org/W1996348247","https://openalex.org/W2001188690","https://openalex.org/W2010520132","https://openalex.org/W2021075269","https://openalex.org/W2065691495","https://openalex.org/W2065754355","https://openalex.org/W2067718036","https://openalex.org/W2080655656","https://openalex.org/W2083798244","https://openalex.org/W2100567194","https://openalex.org/W2107115183","https://openalex.org/W2155306779","https://openalex.org/W2159540673","https://openalex.org/W2168076340","https://openalex.org/W2169190201","https://openalex.org/W2170211487","https://openalex.org/W2951377534"],"related_works":["https://openalex.org/W2107701374","https://openalex.org/W2950072893","https://openalex.org/W1616588898","https://openalex.org/W4249504934","https://openalex.org/W2183416055","https://openalex.org/W2568867011","https://openalex.org/W1963628591","https://openalex.org/W1994114538","https://openalex.org/W2413205705","https://openalex.org/W2735644334"],"abstract_inverted_index":{"In":[0,62],"this":[1],"paper,":[2],"we":[3,65,116,135],"examine":[4],"the":[5,8,33,59,63,84,91,108,112,128,140,148,158,167],"estimation":[6,109,129],"of":[7,10,21,45,48,77,124,139,151],"parameters":[9],"a":[11,22,74,104,121],"decaying":[12],"complex":[13],"exponential":[14],"in":[15,107,137],"noise.":[16],"The":[17,43],"strategy":[18],"adopted":[19],"consists":[20],"computationally":[23],"simple":[24],"two":[25,98],"stage":[26,31],"scheme":[27],"where":[28],"an":[29,38],"interpolation":[30],"refines":[32],"coarse":[34],"estimate":[35],"obtained":[36],"from":[37,157],"initial":[39],"maximum":[40],"bin":[41],"search.":[42],"interpolators":[44],"Quinn,":[46],"and":[47,50,133],"Aboutanios":[49],"Mulgrew,":[51],"developed":[52],"for":[53,126],"undamped":[54,92,113],"exponentials":[55],"are":[56,163],"extended":[57],"to":[58,90,96,146,165],"damped":[60],"case.":[61],"process,":[64],"show":[66,117],"that":[67,83,102,118],"Quinn's":[68],"estimator":[69],"can":[70],"be":[71],"viewed":[72],"as":[73],"linearized":[75],"version":[76],"Bertocco's":[78],"algorithm.":[79],"Theoretical":[80],"analysis":[81],"demonstrates":[82],"resulting":[85],"estimators":[86],"exhibit":[87],"similar":[88],"behavior":[89],"case,":[93,114],"leading":[94],"us":[95,145],"propose":[97],"alternative":[99],"hybrid":[100],"implementations":[101],"yield":[103],"significant":[105],"improvement":[106],"performance.":[110],"Unlike":[111],"however,":[115],"there":[119],"exists":[120],"finite":[122],"number":[123,150],"samples":[125,152],"which":[127,134],"performance":[130],"is":[131],"best,":[132],"determine":[136],"terms":[138],"damping":[141],"factor.":[142],"This":[143],"enables":[144],"adjust":[147],"actual":[149],"should":[153],"it":[154],"deviate":[155],"significantly":[156],"optimum.":[159],"Extensive":[160],"simulation":[161],"results":[162],"presented":[164],"support":[166],"theoretical":[168],"findings.":[169]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":8},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-24T08:33:08.758527","created_date":"2025-10-10T00:00:00"}