{"id":"https://openalex.org/W2139106846","doi":null,"title":"A Fast Algorithm for Estimating the Parameters of a Quadratic FM Signal","display_name":"A Fast Algorithm for Estimating the Parameters of a Quadratic FM Signal","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2139106846","mag":"2139106846"},"language":"en","primary_location":{"id":"pmh:oai:eprints.qut.edu.au:1859","doi":null,"is_oa":true,"landing_page_url":"https://eprints.qut.edu.au/1859/1/O%27Shea%2C_2004%2C__A_fast_algorithm_for_estimating_the_parameters_of_a_quadratic_FM_signal.pdf","pdf_url":"https://eprints.qut.edu.au/1859/1/O%27Shea%2C_2004%2C__A_fast_algorithm_for_estimating_the_parameters_of_a_quadratic_FM_signal.pdf","source":{"id":"https://openalex.org/S4306402607","display_name":"QUT ePrints (Queensland University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I160993911","host_organization_name":"Queensland University of Technology","host_organization_lineage":["https://openalex.org/I160993911"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"Contribution to Journal"},"volume":null,"type":"article","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://eprints.qut.edu.au/1859/1/O%27Shea%2C_2004%2C__A_fast_algorithm_for_estimating_the_parameters_of_a_quadratic_FM_signal.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108346000","display_name":"Peter O\u2019Shea","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"O'Shea, Peter","raw_affiliation_strings":["School of Electr. & Electron. Syst. Eng., Queensland Univ. of Technol., Brisbane, Qld., Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electr. & Electron. Syst. Eng., Queensland Univ. of Technol., Brisbane, Qld., Australia","institution_ids":["https://openalex.org/I160993911"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108346000"],"corresponding_institution_ids":["https://openalex.org/I160993911"],"apc_list":null,"apc_paid":null,"fwci":5.2073,"has_fulltext":true,"cited_by_count":281,"citation_normalized_percentile":{"value":0.95343577,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12300","display_name":"Advanced Electrical Measurement Techniques","score":0.2524000108242035,"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":0.2524000108242035,"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/T10891","display_name":"Radar Systems and Signal Processing","score":0.1242000013589859,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T13816","display_name":"Advanced Signal Processing Techniques","score":0.10939999669790268,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parameter-estimation","display_name":"parameter estimation","score":0.6830000281333923},{"id":"https://openalex.org/keywords/cubic-phase-function","display_name":"cubic phase function","score":0.8090000152587891},{"id":"https://openalex.org/keywords/polynomial-phase-signals","display_name":"polynomial phase signals","score":0.9950000047683716},{"id":"https://openalex.org/keywords/fast-algorithms","display_name":"fast algorithms","score":0.48100000619888306},{"id":"https://openalex.org/keywords/maximum-likelihood-estimation","display_name":"maximum likelihood estimation","score":0.8709999918937683},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"mean squared error","score":0.7580000162124634},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"signal-to-noise ratio","score":0.8040000200271606}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6734293699264526},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6623002886772156},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6018285155296326},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.5566629767417908},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.4875137507915497},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.4637051224708557},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.45542827248573303},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4427494406700134},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4379199743270874},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.42261865735054016},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.41798636317253113},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3785432279109955},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25902074575424194},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24407082796096802},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"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/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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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":2,"locations":[{"id":"pmh:oai:eprints.qut.edu.au:1859","doi":null,"is_oa":true,"landing_page_url":"https://eprints.qut.edu.au/1859/1/O%27Shea%2C_2004%2C__A_fast_algorithm_for_estimating_the_parameters_of_a_quadratic_FM_signal.pdf","pdf_url":"https://eprints.qut.edu.au/1859/1/O%27Shea%2C_2004%2C__A_fast_algorithm_for_estimating_the_parameters_of_a_quadratic_FM_signal.pdf","source":{"id":"https://openalex.org/S4306402607","display_name":"QUT ePrints (Queensland University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I160993911","host_organization_name":"Queensland University of Technology","host_organization_lineage":["https://openalex.org/I160993911"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"Contribution to Journal"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.425.1836","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.425.1836","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eprints.qut.edu.au/1859/1/O%27Shea,_2004,__A_fast_algorithm_for_estimating_the_parameters_of_a_quadratic_FM_signal.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:eprints.qut.edu.au:1859","doi":null,"is_oa":true,"landing_page_url":"https://eprints.qut.edu.au/1859/1/O%27Shea%2C_2004%2C__A_fast_algorithm_for_estimating_the_parameters_of_a_quadratic_FM_signal.pdf","pdf_url":"https://eprints.qut.edu.au/1859/1/O%27Shea%2C_2004%2C__A_fast_algorithm_for_estimating_the_parameters_of_a_quadratic_FM_signal.pdf","source":{"id":"https://openalex.org/S4306402607","display_name":"QUT ePrints (Queensland University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I160993911","host_organization_name":"Queensland University of Technology","host_organization_lineage":["https://openalex.org/I160993911"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"Contribution to Journal"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2139106846.pdf","grobid_xml":"https://content.openalex.org/works/W2139106846.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1035683876","https://openalex.org/W1555146288","https://openalex.org/W1966032405","https://openalex.org/W2001188690","https://openalex.org/W2039644648","https://openalex.org/W2101172883","https://openalex.org/W2103051593","https://openalex.org/W2110488519","https://openalex.org/W2137919732","https://openalex.org/W2145017037","https://openalex.org/W2148427361","https://openalex.org/W2153036761","https://openalex.org/W2154279661","https://openalex.org/W2158617925"],"related_works":["https://openalex.org/W2187234238","https://openalex.org/W3039413579","https://openalex.org/W1979665120","https://openalex.org/W2350987757","https://openalex.org/W1593430924","https://openalex.org/W2382388650","https://openalex.org/W2918207645","https://openalex.org/W2376233939","https://openalex.org/W2313094234","https://openalex.org/W2356938602"],"abstract_inverted_index":{"Abstract\u2014This":[0],"paper":[1],"describes":[2],"a":[3,15,42],"fast":[4,25],"algorithm":[5,23],"that":[6,27,106],"can":[7,47],"be":[8,49,73],"used":[9],"for":[10,62,116],"estimating":[11],"the":[12,64,76,84,93,112,124],"parameters":[13,78],"of":[14,111],"quadratic":[16],"frequency":[17],"modulated":[18],"(FM)":[19],"signal.":[20],"The":[21,34,67,100],"proposed":[22],"is":[24,70],"in":[26,80],"it":[28],"requires":[29,41],"only":[30,48],"one-dimensional":[31],"(1-D)":[32],"maximizations.":[33],"optimal":[35],"maximum":[36],"likelihood":[37],"method,":[38],"by":[39],"contrast,":[40],"three-dimensional":[43],"(3-D)":[44],"maximization,":[45],"which":[46],"realized":[50],"with":[51],"an":[52],"exhaustive":[53],"3-D":[54],"grid":[55],"search.":[56],"Asymptotic":[57],"statistical":[58,148],"results":[59],"are":[60,107,120,136],"derived":[61],"all":[63],"estimated":[65],"parameters.":[66],"amplitude":[68],"estimate":[69],"seen":[71],"to":[72,98,122,128],"optimal,":[74],"whereas":[75],"phase":[77,86,141,146],"are,":[79],"general,":[81],"suboptimal.":[82],"Of":[83],"four":[85],"parameter":[87,143],"esitmates,":[88],"two":[89,102],"approach":[90],"optimality":[91],"as":[92],"signal-to-noise":[94],"ratio":[95],"(SNR)":[96],"tends":[97],"infinity.":[99],"other":[101],"have":[103],"mean-square":[104],"errors":[105],"within":[108],"50":[109],"%":[110],"theoretical":[113,125],"lower":[114],"bounds":[115],"high":[117],"SNR.":[118],"Simulations":[119],"provided":[121],"support":[123],"results.":[126],"Extensions":[127],"multiple":[129],"components":[130],"and":[131],"higher":[132],"order":[133],"FM":[134],"signals":[135],"also":[137],"discussed.":[138],"Index":[139],"Terms\u2014Cubic":[140],"function,":[142],"estimation,":[144],"polynomial":[145],"signals,":[147],"signal":[149],"processing.":[150],"I.":[151]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":23},{"year":2018,"cited_by_count":23},{"year":2017,"cited_by_count":21},{"year":2016,"cited_by_count":25},{"year":2015,"cited_by_count":20},{"year":2014,"cited_by_count":19},{"year":2013,"cited_by_count":17},{"year":2012,"cited_by_count":17}],"updated_date":"2026-10-27T15:51:10.671819","created_date":"2016-06-24T00:00:00"}
