{"id":"https://openalex.org/W1569220875","doi":"https://doi.org/10.1109/icassp.1987.1169395","title":"A modified Yule-Walker equations method for harmonic analysis in unknown colored noise","display_name":"A modified Yule-Walker equations method for harmonic analysis in unknown colored noise","publication_year":2005,"publication_date":"2005-03-24","ids":{"openalex":"https://openalex.org/W1569220875","doi":"https://doi.org/10.1109/icassp.1987.1169395","mag":"1569220875"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1987.1169395","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1987.1169395","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '87. 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/A5107856840","display_name":"Xiao-Hu Yu","orcid":"https://orcid.org/0000-0002-0465-199X"},"institutions":[{"id":"https://openalex.org/I2799736854","display_name":"Nanjing Institute of Technology","ror":"https://ror.org/00n6txq60","country_code":"CN","type":"education","lineage":["https://openalex.org/I2799736854"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiao-hu Yu","raw_affiliation_strings":["Department of Radio Engr., Nanjing Institute of Technology, Nanjing, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"Department of Radio Engr., Nanjing Institute of Technology, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I2799736854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002144698","display_name":"Zhen-ya He","orcid":null},"institutions":[{"id":"https://openalex.org/I2799736854","display_name":"Nanjing Institute of Technology","ror":"https://ror.org/00n6txq60","country_code":"CN","type":"education","lineage":["https://openalex.org/I2799736854"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen-ya He","raw_affiliation_strings":["Department of Radio Engr., Nanjing Institute of Technology, Nanjing, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"Department of Radio Engr., Nanjing Institute of Technology, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I2799736854"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5107856840"],"corresponding_institution_ids":["https://openalex.org/I2799736854"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.06339339,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":null,"first_page":"2043","last_page":"2046"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.9991000294685364,"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/T10860","display_name":"Speech and Audio Processing","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/colors-of-noise","display_name":"Colors of noise","score":0.8390752077102661},{"id":"https://openalex.org/keywords/colored","display_name":"Colored","score":0.7869350910186768},{"id":"https://openalex.org/keywords/harmonics","display_name":"Harmonics","score":0.7004944086074829},{"id":"https://openalex.org/keywords/harmonic-analysis","display_name":"Harmonic analysis","score":0.6185547709465027},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.596642255783081},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.5899004936218262},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5138888359069824},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4597184658050537},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.4553104639053345},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42643705010414124},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40823692083358765},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.3285384774208069},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.21002072095870972},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19429269433021545},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14165529608726501},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11523208022117615},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08712577819824219}],"concepts":[{"id":"https://openalex.org/C114996537","wikidata":"https://www.wikidata.org/wiki/Q4854529","display_name":"Colors of noise","level":3,"score":0.8390752077102661},{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.7869350910186768},{"id":"https://openalex.org/C188414643","wikidata":"https://www.wikidata.org/wiki/Q3001183","display_name":"Harmonics","level":3,"score":0.7004944086074829},{"id":"https://openalex.org/C131770355","wikidata":"https://www.wikidata.org/wiki/Q876215","display_name":"Harmonic analysis","level":2,"score":0.6185547709465027},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.596642255783081},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.5899004936218262},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5138888359069824},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4597184658050537},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.4553104639053345},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42643705010414124},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40823692083358765},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.3285384774208069},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.21002072095870972},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19429269433021545},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14165529608726501},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11523208022117615},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08712577819824219},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.1987.1169395","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1987.1169395","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1591084523","https://openalex.org/W1758436867","https://openalex.org/W1896345589","https://openalex.org/W2014294275","https://openalex.org/W2019833178","https://openalex.org/W2029246754","https://openalex.org/W2062451636","https://openalex.org/W2079080277","https://openalex.org/W2110918656","https://openalex.org/W2118562150","https://openalex.org/W2162443378","https://openalex.org/W2169369265","https://openalex.org/W2584042328","https://openalex.org/W6628838503","https://openalex.org/W6635336344"],"related_works":["https://openalex.org/W2140509105","https://openalex.org/W3146178872","https://openalex.org/W4235907447","https://openalex.org/W2072835713","https://openalex.org/W4205591199","https://openalex.org/W1896345589","https://openalex.org/W2383726841","https://openalex.org/W2161985579","https://openalex.org/W2989096158","https://openalex.org/W2147205936"],"abstract_inverted_index":{"The":[0,94],"techniques":[1],"for":[2,88],"harmonic":[3,31],"analysis":[4,32],"in":[5,13,33],"colored":[6,35],"noise":[7,58,74],"have":[8],"attracted":[9],"much":[10],"more":[11],"attentions":[12],"the":[14,39,49,63,73],"last":[15],"two":[16],"years.":[17],"This":[18],"paper":[19],"presents":[20],"a":[21,56],"novel":[22],"approach,":[23],"namely":[24],"modified":[25],"Yule":[26],"-Walker":[27],"equations":[28],"method,":[29],"to":[30,48],"unknown":[34],"noise,":[36],"based":[37],"on":[38],"fact":[40],"that":[41,62],"an":[42],"ARMA":[43],"model":[44],"can":[45,66],"be":[46],"fitted":[47],"time":[50],"sequence":[51],"consisting":[52],"of":[53,91,96],"harmonics":[54],"plus":[55],"MA":[57],"process.":[59],"It":[60],"shows":[61],"present":[64],"method":[65],"do":[67],"without":[68],"any":[69],"prior":[70],"knowledge":[71],"about":[72],"model.":[75],"New":[76],"fixed-order":[77],"fast":[78],"algorithms,":[79],"including":[80],"both":[81],"nonadaptive":[82],"and":[83,99],"adaptive":[84],"situations,":[85],"are":[86,102],"presented":[87],"efficient":[89],"solution":[90],"MYW":[92],"equations.":[93],"performance":[95],"ours,":[97],"FFT":[98],"maximum":[100],"entropy":[101],"illustrated":[103],"by":[104],"simulation":[105],"results.":[106]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
