{"id":"https://openalex.org/W2603598834","doi":"https://doi.org/10.1109/lsp.2017.2689761","title":"Cram\u00e9r\u2013Rao Bounds for a Coupled Mixture of Polynomial Phase and Sinusoidal FM Signals","display_name":"Cram\u00e9r\u2013Rao Bounds for a Coupled Mixture of Polynomial Phase and Sinusoidal FM Signals","publication_year":2017,"publication_date":"2017-03-30","ids":{"openalex":"https://openalex.org/W2603598834","doi":"https://doi.org/10.1109/lsp.2017.2689761","mag":"2603598834"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2017.2689761","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2017.2689761","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","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/A5100383518","display_name":"Pu Wang","orcid":"https://orcid.org/0000-0002-4718-3102"},"institutions":[{"id":"https://openalex.org/I4210159266","display_name":"Mitsubishi Electric (United States)","ror":"https://ror.org/053jnhe44","country_code":"US","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125","https://openalex.org/I4210159266"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Pu Wang","raw_affiliation_strings":["Mitsubishi Electric Research Laboratories, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210159266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044769104","display_name":"Philip V. Orlik","orcid":null},"institutions":[{"id":"https://openalex.org/I4210159266","display_name":"Mitsubishi Electric (United States)","ror":"https://ror.org/053jnhe44","country_code":"US","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125","https://openalex.org/I4210159266"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Philip V. Orlik","raw_affiliation_strings":["Mitsubishi Electric Research Laboratories, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210159266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023816682","display_name":"Kota Sadamoto","orcid":null},"institutions":[{"id":"https://openalex.org/I4210133125","display_name":"Mitsubishi Electric (Japan)","ror":"https://ror.org/033y26782","country_code":"JP","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kota Sadamoto","raw_affiliation_strings":["Mitsubishi Electric Corporation Advanced Technology R&D Center, Amagasaki City, Japan"],"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Corporation Advanced Technology R&D Center, Amagasaki City, Japan","institution_ids":["https://openalex.org/I4210133125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062961617","display_name":"Wataru Tsujita","orcid":null},"institutions":[{"id":"https://openalex.org/I4210133125","display_name":"Mitsubishi Electric (Japan)","ror":"https://ror.org/033y26782","country_code":"JP","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Wataru Tsujita","raw_affiliation_strings":["Mitsubishi Electric Corporation Advanced Technology R&D Center, Amagasaki City, Japan"],"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Corporation Advanced Technology R&D Center, Amagasaki City, Japan","institution_ids":["https://openalex.org/I4210133125"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108617741","display_name":"Yoshitsugu Sawa","orcid":null},"institutions":[{"id":"https://openalex.org/I4210133125","display_name":"Mitsubishi Electric (Japan)","ror":"https://ror.org/033y26782","country_code":"JP","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshitsugu Sawa","raw_affiliation_strings":["Mitsubishi Electric Corporation Advanced Technology R&D Center, Amagasaki City, Japan"],"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Corporation Advanced Technology R&D Center, Amagasaki City, Japan","institution_ids":["https://openalex.org/I4210133125"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100383518"],"corresponding_institution_ids":["https://openalex.org/I4210159266"],"apc_list":null,"apc_paid":null,"fwci":1.4081,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.81925517,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"24","issue":"6","first_page":"746","last_page":"750"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9970999956130981,"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"}},"topics":[{"id":"https://openalex.org/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9970999956130981,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.991100013256073,"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/T11038","display_name":"Advanced SAR Imaging Techniques","score":0.9866999983787537,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6248250603675842},{"id":"https://openalex.org/keywords/frequency-modulation","display_name":"Frequency modulation","score":0.582714855670929},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5725439786911011},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5585529804229736},{"id":"https://openalex.org/keywords/encoder","display_name":"Encoder","score":0.5461474657058716},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.5380465984344482},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4789296090602875},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47749847173690796},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4575968384742737},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41911664605140686},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3953753709793091},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3575960099697113},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33777564764022827},{"id":"https://openalex.org/keywords/radio-frequency","display_name":"Radio frequency","score":0.27605146169662476},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2324082851409912},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23024216294288635},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18251490592956543},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.15929901599884033},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.12270486354827881},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11502072215080261},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10574609041213989}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6248250603675842},{"id":"https://openalex.org/C11930861","wikidata":"https://www.wikidata.org/wiki/Q181417","display_name":"Frequency modulation","level":3,"score":0.582714855670929},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5725439786911011},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5585529804229736},{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.5461474657058716},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5380465984344482},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4789296090602875},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47749847173690796},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4575968384742737},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41911664605140686},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3953753709793091},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3575960099697113},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33777564764022827},{"id":"https://openalex.org/C74064498","wikidata":"https://www.wikidata.org/wiki/Q3396184","display_name":"Radio frequency","level":2,"score":0.27605146169662476},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2324082851409912},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23024216294288635},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18251490592956543},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.15929901599884033},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.12270486354827881},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11502072215080261},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10574609041213989},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2017.2689761","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2017.2689761","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"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 Signal Processing Letters","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":30,"referenced_works":["https://openalex.org/W1531156019","https://openalex.org/W1597732836","https://openalex.org/W1963495212","https://openalex.org/W1981142889","https://openalex.org/W1991354183","https://openalex.org/W2000663841","https://openalex.org/W2024383721","https://openalex.org/W2034018890","https://openalex.org/W2036544393","https://openalex.org/W2040019831","https://openalex.org/W2058973663","https://openalex.org/W2059608637","https://openalex.org/W2065882190","https://openalex.org/W2101280854","https://openalex.org/W2105450748","https://openalex.org/W2110400683","https://openalex.org/W2115541274","https://openalex.org/W2117546853","https://openalex.org/W2121187169","https://openalex.org/W2121342853","https://openalex.org/W2127393508","https://openalex.org/W2137919732","https://openalex.org/W2138355218","https://openalex.org/W2139106846","https://openalex.org/W2148427361","https://openalex.org/W2161578447","https://openalex.org/W2170021087","https://openalex.org/W2471689004","https://openalex.org/W2548986258","https://openalex.org/W2561080555"],"related_works":["https://openalex.org/W4390516098","https://openalex.org/W2181948922","https://openalex.org/W2384362569","https://openalex.org/W4205302943","https://openalex.org/W2561132942","https://openalex.org/W2142795561","https://openalex.org/W3155418658","https://openalex.org/W4243199227","https://openalex.org/W2379948177","https://openalex.org/W2334580170"],"abstract_inverted_index":{"This":[0],"letter":[1],"introduces":[2],"a":[3,39],"new":[4],"coupled":[5,70],"mixture":[6,61,71,124],"of":[7,41,65,77,121],"polynomial":[8],"phase":[9],"signal":[10],"(PPS)":[11],"and":[12,58,96],"sinusoidal":[13,35,97,128],"frequency":[14,37,130],"modulated":[15],"(FM)":[16],"signal,":[17],"motivated":[18],"by":[19],"real-world":[20],"applications,":[21],"for":[22,68,112],"example,":[23],"contactless":[24],"linear":[25],"encoders.":[26],"Specifically,":[27],"the":[28,34,42,46,54,59,69,78,83,87,94,102,106,109,113,122,127,135],"coupling":[29,47,103],"is":[30],"introduced":[31],"to":[32,101],"express":[33],"FM":[36,129],"as":[38,126],"function":[40],"PPS-related":[43,95,114],"parameters.":[44,137],"Given":[45],"mixture,":[48],"it":[49],"generalizes":[50],"two":[51],"existing":[52],"models:":[53],"pure":[55,84],"PPS":[56,85,136],"model":[57,72],"independent":[60,123],"model.":[62],"Performance":[63],"bounds":[64],"parameter":[66],"estimation":[67],"are":[73,116],"established":[74],"in":[75],"terms":[76],"Cram\u00e9r-Rao":[79],"bound":[80],"(CRB).":[81],"Unlike":[82],"case,":[86],"derived":[88,110],"CRB":[89],"shows":[90],"its":[91],"dependence":[92],"on":[93,134],"FM-related":[98],"parameters":[99,115],"due":[100],"mixture.":[104],"On":[105],"other":[107],"hand,":[108],"CRBs":[111],"lower":[117],"than":[118],"their":[119],"counterparts":[120],"model,":[125],"provides":[131],"additional":[132],"information":[133]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}