{"id":"https://openalex.org/W1971703334","doi":"https://doi.org/10.1016/j.camwa.2006.01.007","title":"Characterization of analytic phase signals","display_name":"Characterization of analytic phase signals","publication_year":2006,"publication_date":"2006-05-01","ids":{"openalex":"https://openalex.org/W1971703334","doi":"https://doi.org/10.1016/j.camwa.2006.01.007","mag":"1971703334"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.camwa.2006.01.007","pdf_url":null,"source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1016/j.camwa.2006.01.007","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061909226","display_name":"Tao Qian","orcid":"https://orcid.org/0000-0002-8780-9958"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Tao Qian","raw_affiliation_strings":["Department of Mathematics University of Macau, Macao"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics University of Macau, Macao","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044183215","display_name":"Qiuhui Chen","orcid":"https://orcid.org/0000-0003-1823-2400"},"institutions":[{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiuhui Chen","raw_affiliation_strings":["Faculty of Mathematics and Computer Science Hubei University, Wuhan 430062, P. R. China"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science Hubei University, Wuhan 430062, P. R. China","institution_ids":["https://openalex.org/I75900474"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3480,"currency":"USD","value_usd":3480,"provenance":"doaj"},"apc_paid":null,"fwci":3.097,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":6,"citation_normalized_percentile":{"value":0.865532,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":78,"max":79},"biblio":{"volume":"51","issue":"9-10","first_page":"1471","last_page":"1482"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10220","display_name":"Machine Fault Diagnosis and Prognostics","score":0.9988,"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 and Prognostics","score":0.9988,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9445,"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"}},{"id":"https://openalex.org/T13644","display_name":"Vibration Suppression in Drive Systems","score":0.9177,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/characterization","display_name":"Characterization (materials science)","score":0.6731472},{"id":"https://openalex.org/keywords/vibration-analysis","display_name":"Vibration Analysis","score":0.483332}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7963817},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.6731472},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5157819},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3460737},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33270562},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.070530325},{"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.camwa.2006.01.007","pdf_url":null,"source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.camwa.2006.01.007","pdf_url":null,"source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":21,"referenced_works":["https://openalex.org/W1500279823","https://openalex.org/W164911893","https://openalex.org/W1981659527","https://openalex.org/W1986831525","https://openalex.org/W1991946919","https://openalex.org/W2007221293","https://openalex.org/W2009646189","https://openalex.org/W2037612300","https://openalex.org/W2048511403","https://openalex.org/W2062024414","https://openalex.org/W2082978565","https://openalex.org/W2092409600","https://openalex.org/W2106665847","https://openalex.org/W2115737494","https://openalex.org/W2132085292","https://openalex.org/W2141802348","https://openalex.org/W2188563164","https://openalex.org/W2924212870","https://openalex.org/W3132971798","https://openalex.org/W3151807103","https://openalex.org/W4299552129"],"related_works":["https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W3002753104","https://openalex.org/W2911598644","https://openalex.org/W2142036596","https://openalex.org/W2077600819","https://openalex.org/W2061531152","https://openalex.org/W2007980826","https://openalex.org/W1979597421","https://openalex.org/W1587224694"],"abstract_inverted_index":{"In":[0],"many":[1],"cases,":[2],"a":[3,13,16,42,52,57,156,169,186,203,247],"real-valued":[4],"signal":[5,15,28],"\u03c7(":[6,31,38,72],"t":[7,18,23,32,39,44,47,54,59,61,73,78,86,91,114,119,124,129,135,144,149,158,214,218,227],")":[8,19,24,33,40,45,48,55,74,93,115,120,130,136,145,159,215,219,228],"may":[9,80],"be":[10,81,84],"associated":[11,29],"with":[12,30,34],"complex-valued":[14],"(":[17,43,51,58,113,118,123,128,134,143,148,157,213],"e":[20],"i":[21],"\u03b8(":[22],",":[25],"the":[26,35,68,76,109,154,163,173,182,192,210,223,242],"analytic":[27,107],"characteristic":[36],"properties":[37],"=":[41,56,116,137,146,216],"cos\u03b8(":[46,217],"and":[49,177,222],"H":[50],"(\u00b7)cos\u03b8(\u00b7))(":[53],")sin\u03b8(":[60],").":[62,150],"Using":[63],"such":[64],"obtained":[65],"amplitude-frequency":[66],"modulation":[67],"instantaneous":[69],"frequency":[70],"of":[71,98,106,185,206,208,236],"at":[75],"time":[77],"0":[79,87,92],"defined":[82],"to":[83,102,153],"\u03b8\u2032(":[85,90,226],"),":[88,125],"provided":[89],"\u2265":[94,229],"0.":[95],"The":[96],"purpose":[97],"this":[99],"note":[100],"is":[101,181,220,232],"characterize,":[103],"in":[104,162,191,241,253],"terms":[105],"functions,":[108],"unimodular":[110,170],"functions":[111,207,237],"F":[112],"C":[117,126,212],"+":[121,131],"iS":[122],"2":[127,133],"S":[132,147],"1,":[138],"a.e.,":[139],"that":[140,168],"satisfy":[141],"HC":[142],"This":[151,234],"corresponds":[152],"case":[155],"\u2261":[160],"1":[161],"above":[164],"formulation.":[165],"We":[166,196],"show":[167],"function":[171,190],"satisfies":[172],"required":[174],"condition":[175,225],"if":[176,179],"only":[178],"it":[180],"boundary":[183],"value":[184],"so":[187],"called":[188],"inner":[189],"upper-half":[193,243],"complex":[194,244],"plane.":[195],"also":[197],"give,":[198],"through":[199],"an":[200],"explicit":[201],"formula,":[202],"large":[204],"class":[205,235],"which":[209],"parametrization":[211],"available":[221],"extra":[224],"0,":[230],"a.e.":[231],"enjoyed.":[233],"contains":[238],"Blaschke":[239],"products":[240],"plane":[245],"as":[246],"proper":[248],"subclass":[249],"studied":[250],"by":[251],"Picinbono":[252],"[1].":[254]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1971703334","counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2024-12-01T09:03:23.467707","created_date":"2016-06-24"}