{"id":"https://openalex.org/W1499459394","doi":"https://doi.org/10.1109/icassp.1982.1171711","title":"Statistical analysis of frequency modulated signals","display_name":"Statistical analysis of frequency modulated signals","publication_year":2005,"publication_date":"2005-03-24","ids":{"openalex":"https://openalex.org/W1499459394","doi":"https://doi.org/10.1109/icassp.1982.1171711","mag":"1499459394"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1982.1171711","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1982.1171711","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '82. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-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/A5015793047","display_name":"T. Subba Rao","orcid":"https://orcid.org/0000-0002-6467-1773"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"T.S. Rao","raw_affiliation_strings":["University of Manchester, Institute of Science and Technology, Manchester, UK"],"affiliations":[{"raw_affiliation_string":"University of Manchester, Institute of Science and Technology, Manchester, UK","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030306429","display_name":"M. Yar","orcid":null},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. Yar","raw_affiliation_strings":["University of Manchester, Institute of Science and Technology, Manchester, UK"],"affiliations":[{"raw_affiliation_string":"University of Manchester, Institute of Science and Technology, Manchester, UK","institution_ids":["https://openalex.org/I28407311"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015793047"],"corresponding_institution_ids":["https://openalex.org/I28407311"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.03648511,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":null,"first_page":"1042","last_page":"1045"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9796000123023987,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9796000123023987,"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/T11236","display_name":"Control Systems and Identification","score":0.9793999791145325,"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/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9476000070571899,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3478630781173706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31034648418426514}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3478630781173706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31034648418426514}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.1982.1171711","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1982.1171711","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '82. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W309832728","https://openalex.org/W643008456","https://openalex.org/W1509032382","https://openalex.org/W1991196564","https://openalex.org/W2040532319","https://openalex.org/W2044219616","https://openalex.org/W2045936591","https://openalex.org/W2061391193","https://openalex.org/W2101208868","https://openalex.org/W2149376528","https://openalex.org/W2150270317","https://openalex.org/W2312500518","https://openalex.org/W2319003341","https://openalex.org/W2512964275","https://openalex.org/W2903656127","https://openalex.org/W4235510040"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857"],"abstract_inverted_index":{"In":[0],"the":[1,7,14,19,24,34,67,72,75,90,111,115,142,147,159,162,165],"transmission":[2,12],"of":[3,6,23,74,114,146,161],"signals,":[4],"one":[5],"common":[8],"models":[9],"used":[10],"for":[11],"is":[13,22,39,66,71,94,103,173,184],"frequency":[15,36,73],"modulated":[16],"model.":[17],"Suppose":[18,122],"original":[20,76],"signal":[21,38],"form":[25],"<tex":[26,42],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[27,43,64,101,119,129,133,137,151,170,181],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">f_{t}":[28],"=":[29,45,57],"\\beta":[30],"\\sin(\\thetat+\\psi)</tex>":[31],",":[32,60,139,153],"then":[33],"contaminated":[35],"Modulated":[37],"given":[40],"by":[41],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">y_{t}":[44],"A":[46,157],"\\cos(\\theta_{c}t":[47],"+":[48,50,52,54],"\\phi":[49],"\\beta\\sin(\\thetat":[51],"\\psi))":[53],"z_{t}":[55],"(t":[56],"1,2":[58],"....)</tex>":[59],"where":[61],"\u03b8":[62,70,149],"<inf":[63,100,118,128,132,136,150,169,180],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">c</inf>":[65,152],"carrier":[68],"frequency,":[69],"signal,":[77],"\u03c6":[78],"and":[79,156],"\u03c8":[80],"are":[81],"random":[82],"phases,":[83],"each":[84],"having":[85],"a":[86,95,104,125,174,185],"uniform":[87],"distribution":[88],"over":[89],"interval":[91],"[-\u03c0,\u03c0],":[92],"\u03b2":[93,155],"modulation":[96],"index.":[97],"Assuming":[98],"z":[99],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">t</inf>":[102,120,171,182],"second":[105,186],"order":[106,187],"stationary":[107,188],"process,":[108],"we":[109,123,140],"consider":[110,141],"spectral":[112],"analysis":[113],"process":[116],"y":[117,127],".":[121],"have":[124],"sample":[126],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</inf>":[130],",y":[131],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</inf>":[134],".....y":[135],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</inf>":[138],"(maximum":[143],"likelihood)":[144],"estimation":[145],"frequencies":[148],"\u03b8,":[154],"on":[158],"basis":[160],"sample,":[163],"under":[164],"assumptions":[166],"(i)":[167],"{z":[168,179],"}":[172,183],"Gaussian":[175,189],"white":[176],"noise;":[177],"(ii)":[178],"process.":[190]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}