{"id":"https://openalex.org/W2972674561","doi":"https://doi.org/10.1109/tsp.2019.2941072","title":"New Statistics of the Second-Order Chirp Cyclostationary Signals: Definitions, Properties and Applications","display_name":"New Statistics of the Second-Order Chirp Cyclostationary Signals: Definitions, Properties and Applications","publication_year":2019,"publication_date":"2019-09-12","ids":{"openalex":"https://openalex.org/W2972674561","doi":"https://doi.org/10.1109/tsp.2019.2941072","mag":"2972674561"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2019.2941072","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2019.2941072","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/A5084904340","display_name":"Hongxia Miao","orcid":"https://orcid.org/0000-0003-4808-0989"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongxia Miao","raw_affiliation_strings":["Beijing Key Laboratory of Fractional Signals and Systems, School of Information and Electronics, Beijing Institute of Technology, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-4808-0989","affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Fractional Signals and Systems, School of Information and Electronics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100784476","display_name":"Feng Zhang","orcid":"https://orcid.org/0000-0003-2643-6446"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Zhang","raw_affiliation_strings":["Beijing Key Laboratory of Fractional Signals and Systems, School of Information and Electronics, Beijing Institute of Technology, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-2643-6446","affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Fractional Signals and Systems, School of Information and Electronics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067803447","display_name":"Ran Tao","orcid":"https://orcid.org/0000-0002-5243-7189"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ran Tao","raw_affiliation_strings":["Beijing Key Laboratory of Fractional Signals and Systems, School of Information and Electronics, Beijing Institute of Technology, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory of Fractional Signals and Systems, School of Information and Electronics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I125839683"],"apc_list":null,"apc_paid":null,"fwci":2.454,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.90040791,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"67","issue":"21","first_page":"5543","last_page":"5557"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cyclostationary-process","display_name":"Cyclostationary process","score":0.9691264629364014},{"id":"https://openalex.org/keywords/higher-order-statistics","display_name":"Higher-order statistics","score":0.8147188425064087},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6043033599853516},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5953193306922913},{"id":"https://openalex.org/keywords/order-statistic","display_name":"Order statistic","score":0.5891726016998291},{"id":"https://openalex.org/keywords/chirp","display_name":"Chirp","score":0.5741313099861145},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5281243920326233},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5047401189804077},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.46357467770576477},{"id":"https://openalex.org/keywords/correlation-function","display_name":"Correlation function (quantum field theory)","score":0.4491347372531891},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.42944714426994324},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.4263456165790558},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.42633187770843506},{"id":"https://openalex.org/keywords/statistical-signal-processing","display_name":"Statistical signal processing","score":0.4137563407421112},{"id":"https://openalex.org/keywords/stationary-process","display_name":"Stationary process","score":0.41275230050086975},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.376595139503479},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33984237909317017},{"id":"https://openalex.org/keywords/spectral-density","display_name":"Spectral density","score":0.31479310989379883},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.16054072976112366},{"id":"https://openalex.org/keywords/radar","display_name":"Radar","score":0.11858460307121277}],"concepts":[{"id":"https://openalex.org/C178351263","wikidata":"https://www.wikidata.org/wiki/Q3922399","display_name":"Cyclostationary process","level":3,"score":0.9691264629364014},{"id":"https://openalex.org/C2780576426","wikidata":"https://www.wikidata.org/wiki/Q5757980","display_name":"Higher-order statistics","level":4,"score":0.8147188425064087},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6043033599853516},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5953193306922913},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.5891726016998291},{"id":"https://openalex.org/C132794960","wikidata":"https://www.wikidata.org/wiki/Q27304","display_name":"Chirp","level":3,"score":0.5741313099861145},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5281243920326233},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5047401189804077},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.46357467770576477},{"id":"https://openalex.org/C53622274","wikidata":"https://www.wikidata.org/wiki/Q2496679","display_name":"Correlation function (quantum field theory)","level":3,"score":0.4491347372531891},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.42944714426994324},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.4263456165790558},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.42633187770843506},{"id":"https://openalex.org/C105125183","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Statistical signal processing","level":4,"score":0.4137563407421112},{"id":"https://openalex.org/C110405555","wikidata":"https://www.wikidata.org/wiki/Q1192209","display_name":"Stationary process","level":2,"score":0.41275230050086975},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.376595139503479},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33984237909317017},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.31479310989379883},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.16054072976112366},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.11858460307121277},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C520434653","wikidata":"https://www.wikidata.org/wiki/Q38867","display_name":"Laser","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2019.2941072","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2019.2941072","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":[{"id":"https://openalex.org/G4417359500","display_name":null,"funder_award_id":"U1833203","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4639895821","display_name":null,"funder_award_id":"61421001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7315783478","display_name":"\u57fa\u4e8e\u5206\u6570\u53d8\u6362\u7684\u91c7\u6837\u548c\u79bb\u6563\u5316\u7814\u7a76","funder_award_id":"61571042","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W314767907","https://openalex.org/W606473257","https://openalex.org/W1535971798","https://openalex.org/W1831321934","https://openalex.org/W1982034193","https://openalex.org/W1996128712","https://openalex.org/W2004088309","https://openalex.org/W2006366850","https://openalex.org/W2007241134","https://openalex.org/W2009647853","https://openalex.org/W2010310716","https://openalex.org/W2010667940","https://openalex.org/W2048101164","https://openalex.org/W2057385319","https://openalex.org/W2089431279","https://openalex.org/W2098918476","https://openalex.org/W2100619198","https://openalex.org/W2103150121","https://openalex.org/W2116648979","https://openalex.org/W2120320443","https://openalex.org/W2123827510","https://openalex.org/W2125118923","https://openalex.org/W2127301467","https://openalex.org/W2127913883","https://openalex.org/W2130253256","https://openalex.org/W2139996618","https://openalex.org/W2140443981","https://openalex.org/W2142999878","https://openalex.org/W2146262488","https://openalex.org/W2149720531","https://openalex.org/W2150915166","https://openalex.org/W2154670154","https://openalex.org/W2154898175","https://openalex.org/W2156142408","https://openalex.org/W2162800060","https://openalex.org/W2164233625","https://openalex.org/W2168061989","https://openalex.org/W2335894546","https://openalex.org/W2735346878","https://openalex.org/W2765556353","https://openalex.org/W2782850731","https://openalex.org/W2784286678","https://openalex.org/W2791626681","https://openalex.org/W2883783827","https://openalex.org/W2897393734","https://openalex.org/W2898832548","https://openalex.org/W2941724526","https://openalex.org/W3022581064","https://openalex.org/W4242978467"],"related_works":["https://openalex.org/W2972674561","https://openalex.org/W2092748845","https://openalex.org/W2130532468","https://openalex.org/W1593767952","https://openalex.org/W2116115216","https://openalex.org/W2392074140","https://openalex.org/W2057385319","https://openalex.org/W1591115274","https://openalex.org/W2103131638","https://openalex.org/W2726348405"],"abstract_inverted_index":{"The":[0],"chirp-cyclostationary":[1],"(CCS)":[2],"process":[3,12],"is":[4,48,61,72,126],"the":[5,9,17,28,31,41,46,51,55,78,81,84,112,121,124,136,139,156,159,166,169,173,180,184],"generalized":[6,113],"form":[7],"of":[8,30,57,80,123,168],"cyclostationary":[10],"(CS)":[11],"and":[13,37,97,103,142,183],"it":[14],"can":[15],"describe":[16],"nonstationary":[18],"stochastic":[19],"signal":[20,64],"models":[21],"more":[22],"exactly":[23],"in":[24,151],"practical":[25],"applications.":[26],"Basically,":[27],"statistics":[29,96,108,161,171,176],"CCS":[32,69],"signals":[33,182],"have":[34],"been":[35],"defined":[36,53],"studied":[38],"based":[39],"on":[40,134],"correlation":[42,94],"function.":[43],"However,":[44],"when":[45],"measurement":[47],"chosen":[49],"as":[50],"above":[52],"statistics,":[54],"output":[56,122],"a":[58,62,73,163],"linear-variant":[59],"filter":[60,125,141],"zero-power":[63],"for":[65],"any":[66],"input":[67],"pure":[68],"signal.":[70],"This":[71],"barrier":[74],"to":[75,158],"further":[76],"analyze":[77],"properties":[79,100],"filters":[82],"by":[83,111,154,179],"second-order":[85,175],"statistics.":[86],"In":[87],"this":[88],"paper,":[89],"firstly":[90],"two":[91,106,160],"new":[92,107,131],"complementary":[93],"function-based":[95],"their":[98],"basic":[99],"are":[101,109,145,149,177],"proposed":[102,170],"discussed.":[104],"These":[105],"connected":[110],"cyclic":[114],"Wiener-Khinchin":[115],"theorem.":[116],"Then,":[117],"we":[118],"examine":[119],"that":[120],"non-zero":[127],"power":[128],"under":[129],"these":[130],"measurements.":[132],"Based":[133],"this,":[135],"theories":[137],"about":[138],"matched":[140],"system":[143],"identification":[144],"developed,":[146],"whose":[147],"advantages":[148,167],"analyzed":[150],"theory.":[152],"Finally,":[153],"proposing":[155],"estimators":[157],"via":[162],"single":[164],"record,":[165],"over":[172],"classical":[174],"examined":[178],"communication":[181],"electrocardiogram":[185],"(ECG)":[186],"signals.":[187]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}