{"id":"https://openalex.org/W2146293857","doi":"https://doi.org/10.1109/icassp.1981.1171221","title":"Modal decomposition of covariance sequences for parametric spectrum analysis","display_name":"Modal decomposition of covariance sequences for parametric spectrum analysis","publication_year":2005,"publication_date":"2005-03-24","ids":{"openalex":"https://openalex.org/W2146293857","doi":"https://doi.org/10.1109/icassp.1981.1171221","mag":"2146293857"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1981.1171221","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1981.1171221","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '81. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"},"type":"conference-paper","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/A5080469112","display_name":"Louis L. Scharf","orcid":"https://orcid.org/0000-0003-1764-9335"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. Scharf","raw_affiliation_strings":["Department of Electrical Engineering and Statistic, Colorado State University, Fort Collins, CO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Statistic, Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108536322","display_name":"A.A. Beex","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Beex","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5066942625","display_name":"T. von Reyn","orcid":null},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T. von Reyn","raw_affiliation_strings":["Department of Electrical Engineering, Colorado State University, Fort Collins, CO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":null,"first_page":"512","last_page":"517"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9998000264167786,"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/T10842","display_name":"Railway Engineering and Dynamics","score":0.9957000017166138,"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"}},{"id":"https://openalex.org/T12435","display_name":"Bladed Disk Vibration Dynamics","score":0.9945999979972839,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.7089914083480835},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6079496145248413},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5938528776168823},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5864883661270142},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.4946846663951874},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.45988452434539795},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.4454715847969055},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4398382902145386},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41002222895622253},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34047192335128784},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.32234784960746765},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23963332176208496},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1890355348587036},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16063690185546875},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07214778661727905}],"concepts":[{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.7089914083480835},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6079496145248413},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5938528776168823},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5864883661270142},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.4946846663951874},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.45988452434539795},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.4454715847969055},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4398382902145386},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41002222895622253},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34047192335128784},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.32234784960746765},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23963332176208496},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1890355348587036},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16063690185546875},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07214778661727905},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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},{"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/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","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":2,"locations":[{"id":"doi:10.1109/icassp.1981.1171221","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1981.1171221","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '81. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"},{"id":"pmh:ADA095099","is_oa":false,"landing_page_url":"http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA095099","pdf_url":null,"source":{"id":"https://openalex.org/S4406923043","display_name":"Defense Technical Information Center (DTIC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"DTIC AND NTIS","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W324089228","https://openalex.org/W1999185746","https://openalex.org/W2019833178","https://openalex.org/W2144667249","https://openalex.org/W2171369888","https://openalex.org/W2312564560","https://openalex.org/W2799137445","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2788344745","https://openalex.org/W2379392295","https://openalex.org/W2062336688","https://openalex.org/W2009454197","https://openalex.org/W3160965418","https://openalex.org/W613940353","https://openalex.org/W2910677864","https://openalex.org/W2148213881","https://openalex.org/W2320915480","https://openalex.org/W2745414642"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"make":[4],"the":[5,19,42,49,73,110],"point":[6],"that":[7],"a":[8],"wide":[9],"variety":[10],"of":[11,41,46,65,84,103],"spectrum":[12],"types":[13],"admit":[14],"to":[15,71,109],"modal":[16,31],"analysis":[17],"wherein":[18],"modes":[20],"are":[21,69,99],"characterized":[22],"by":[23],"amplitudes,":[24],"frequencies,":[25],"and":[26,38,62,78,86,94,105],"damping":[27],"factors.":[28],"The":[29,44,90],"associated":[30],"decomposition":[32,50],"is":[33],"appropriate":[34],"for":[35,48,92],"both":[36],"continuous":[37],"discrete":[39],"components":[40],"spectrum.":[43],"domain":[45],"attraction":[47],"includes":[51],"ARMA":[52],"sequences,":[53],"harmonically-":[54],"or":[55],"nonharmonically-related":[56],"sinusoids,":[57,59],"damped":[58],"white":[60,97],"noise,":[61],"linear":[63],"combinations":[64],"these.":[66],"Numerical":[67],"results":[68,91],"presented":[70],"illustrate":[72],"identification":[74],"Of":[75],"mode":[76],"parameters":[77],"corresponding":[79],"spectra":[80],"from":[81],"finite":[82,111],"records":[83],"perfect":[85],"estimated":[87],"covariance":[88],"sequences.":[89],"sinusoids":[93,95],"in":[96,101],"noise":[98],"interpreted":[100],"terms":[102],"inphase":[104],"quadrature":[106],"effects":[107],"attributable":[108],"record":[112],"length.":[113]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}