{"id":"https://openalex.org/W2088631631","doi":"https://doi.org/10.1109/icassp.2002.5744021","title":"Local stationarity of L&lt;sup&gt;2&lt;/sup&gt;(&amp;#x211D;) processes","display_name":"Local stationarity of L&lt;sup&gt;2&lt;/sup&gt;(&amp;#x211D;) processes","publication_year":2002,"publication_date":"2002-05-01","ids":{"openalex":"https://openalex.org/W2088631631","doi":"https://doi.org/10.1109/icassp.2002.5744021","mag":"2088631631"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2002.5744021","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2002.5744021","pdf_url":null,"source":{"id":"https://openalex.org/S4363607879","display_name":"IEEE International Conference on Acoustics Speech and Signal Processing","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"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/A5083266453","display_name":"Francisco Moreno","orcid":"https://orcid.org/0000-0001-7883-4812"},"institutions":[{"id":"https://openalex.org/I4387152517","display_name":"Instituto Superior T\u00e9cnico","ror":"https://ror.org/03db2by73","country_code":null,"type":"education","lineage":["https://openalex.org/I141596103","https://openalex.org/I4387152517"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Francisco M Garcia","raw_affiliation_strings":["ISR-Instituto de Sistemas e Rob\u00f3tica, Department Matem\u00e1tica and CAMGSD, IST-Instituto Superior T\u00e9cnico, Lisboa, Portugal","ISR - Instituto de Sistemas e R\u00f3botica, Dep. Matem\u00e1tica and CAMGSD, IST - Instituto Superior T\u00e9cnico, Av. Roviseo Pais, 1049-001. Lisboa, Portugal"],"affiliations":[{"raw_affiliation_string":"ISR-Instituto de Sistemas e Rob\u00f3tica, Department Matem\u00e1tica and CAMGSD, IST-Instituto Superior T\u00e9cnico, Lisboa, Portugal","institution_ids":["https://openalex.org/I4387152517"]},{"raw_affiliation_string":"ISR - Instituto de Sistemas e R\u00f3botica, Dep. Matem\u00e1tica and CAMGSD, IST - Instituto Superior T\u00e9cnico, Av. Roviseo Pais, 1049-001. Lisboa, Portugal","institution_ids":["https://openalex.org/I4387152517"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014719242","display_name":"I.M.G. Lourtie","orcid":"https://orcid.org/0000-0002-5852-2595"},"institutions":[{"id":"https://openalex.org/I4387152517","display_name":"Instituto Superior T\u00e9cnico","ror":"https://ror.org/03db2by73","country_code":null,"type":"education","lineage":["https://openalex.org/I141596103","https://openalex.org/I4387152517"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Isabel M. G. Lourtie","raw_affiliation_strings":["ISR-Instituto de Sistemas e Rob\u00f3tica, Department Matem\u00e1tica and CAMGSD, IST-Instituto Superior T\u00e9cnico, Lisboa, Portugal","ISR - Instituto de Sistemas e R\u00f3botica, Dep. Matem\u00e1tica and CAMGSD, IST - Instituto Superior T\u00e9cnico, Av. Roviseo Pais, 1049-001. Lisboa, Portugal"],"affiliations":[{"raw_affiliation_string":"ISR-Instituto de Sistemas e Rob\u00f3tica, Department Matem\u00e1tica and CAMGSD, IST-Instituto Superior T\u00e9cnico, Lisboa, Portugal","institution_ids":["https://openalex.org/I4387152517"]},{"raw_affiliation_string":"ISR - Instituto de Sistemas e R\u00f3botica, Dep. Matem\u00e1tica and CAMGSD, IST - Instituto Superior T\u00e9cnico, Av. Roviseo Pais, 1049-001. Lisboa, Portugal","institution_ids":["https://openalex.org/I4387152517"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012345951","display_name":"Jorge Buescu","orcid":"https://orcid.org/0000-0001-5444-5089"},"institutions":[{"id":"https://openalex.org/I4387152517","display_name":"Instituto Superior T\u00e9cnico","ror":"https://ror.org/03db2by73","country_code":null,"type":"education","lineage":["https://openalex.org/I141596103","https://openalex.org/I4387152517"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Jorge Buescu","raw_affiliation_strings":["ISR-Instituto de Sistemas e Rob\u00f3tica, Department Matem\u00e1tica and CAMGSD, IST-Instituto Superior T\u00e9cnico, Lisboa, Portugal","ISR - Instituto de Sistemas e R\u00f3botica, Dep. Matem\u00e1tica and CAMGSD, IST - Instituto Superior T\u00e9cnico, Av. Roviseo Pais, 1049-001. Lisboa, Portugal"],"affiliations":[{"raw_affiliation_string":"ISR-Instituto de Sistemas e Rob\u00f3tica, Department Matem\u00e1tica and CAMGSD, IST-Instituto Superior T\u00e9cnico, Lisboa, Portugal","institution_ids":["https://openalex.org/I4387152517"]},{"raw_affiliation_string":"ISR - Instituto de Sistemas e R\u00f3botica, Dep. Matem\u00e1tica and CAMGSD, IST - Instituto Superior T\u00e9cnico, Av. Roviseo Pais, 1049-001. Lisboa, Portugal","institution_ids":["https://openalex.org/I4387152517"]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083266453"],"corresponding_institution_ids":["https://openalex.org/I4387152517"],"apc_list":null,"apc_paid":null,"fwci":1.8592,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.85171103,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"II","last_page":"1221"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9926000237464905,"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"}},"topics":[{"id":"https://openalex.org/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9926000237464905,"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"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9861000180244446,"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":0.9846000075340271,"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/autocorrelation","display_name":"Autocorrelation","score":0.8538862466812134},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.537410318851471},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5111449360847473},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5098585486412048},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4693908095359802},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4425346255302429},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4422222077846527},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3830605745315552},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36013782024383545},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.345893919467926},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2773129940032959},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22787043452262878}],"concepts":[{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.8538862466812134},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.537410318851471},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5111449360847473},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5098585486412048},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4693908095359802},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4425346255302429},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4422222077846527},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3830605745315552},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36013782024383545},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.345893919467926},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2773129940032959},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22787043452262878},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2002.5744021","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2002.5744021","pdf_url":null,"source":{"id":"https://openalex.org/S4363607879","display_name":"IEEE International Conference on Acoustics Speech and Signal Processing","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"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":8,"referenced_works":["https://openalex.org/W1947259035","https://openalex.org/W1979726716","https://openalex.org/W1983461984","https://openalex.org/W1989733825","https://openalex.org/W2038155850","https://openalex.org/W2071723512","https://openalex.org/W2129870712","https://openalex.org/W2169525829"],"related_works":["https://openalex.org/W747394405","https://openalex.org/W1987236514","https://openalex.org/W174653542","https://openalex.org/W2381153750","https://openalex.org/W2041235277","https://openalex.org/W2088220880","https://openalex.org/W2022021973","https://openalex.org/W3121354342","https://openalex.org/W2060952610","https://openalex.org/W2027411114"],"abstract_inverted_index":{"This":[0],"paper":[1],"shows":[2],"how":[3,78],"the":[4,9,14,33,62,83],"sampling":[5],"theorem":[6],"relates":[7],"with":[8],"variations":[10],"along":[11,59],"time":[12],"of":[13,18,36,65,85,92,101],"second":[15,54],"order":[16,55],"statistics":[17,56],"L":[19],"<sup":[20],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[21],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[22],"(\u211d)":[23],"nonstationary":[24,46],"processes.":[25],"As":[26],"a":[27,45,89],"consequence,":[28],"and":[29],"mainly":[30],"due":[31],"to":[32,42,96],"positive":[34],"semidefiniteness":[35],"autocorrelation":[37,86],"functions,":[38],"it":[39],"is":[40,48],"possible":[41],"conclude":[43],"if":[44,52],"process":[47],"locally":[49],"stationary":[50],"(i.e.,":[51],"its":[53,66,71],"vary":[57],"slowly":[58],"time)":[60],"by":[61],"direct":[63],"observation":[64],"2-dimension":[67],"power":[68],"spectrum":[69],"or":[70],"Wigner":[72],"distribution.":[73],"A":[74],"simple":[75],"example":[76],"illustrates":[77],"two":[79],"different":[80],"strategies":[81],"for":[82],"estimation":[84],"functions":[87],"from":[88],"small":[90],"number":[91],"data":[93],"can":[94],"lead":[95],"opposite":[97],"results":[98],"in":[99],"terms":[100],"local":[102],"stationarity.":[103]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
