{"id":"https://openalex.org/W2117506585","doi":"https://doi.org/10.1142/s1793536909000023","title":"SAMPLING EFFECTS ON THE EMPIRICAL MODE DECOMPOSITION","display_name":"SAMPLING EFFECTS ON THE EMPIRICAL MODE DECOMPOSITION","publication_year":2008,"publication_date":"2008-10-17","ids":{"openalex":"https://openalex.org/W2117506585","doi":"https://doi.org/10.1142/s1793536909000023","mag":"2117506585"},"language":"en","primary_location":{"id":"doi:10.1142/s1793536909000023","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793536909000023","pdf_url":null,"source":{"id":"https://openalex.org/S16439242","display_name":"Advances in Adaptive Data Analysis","issn_l":"1793-5369","issn":["1793-5369","1793-7175"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Adaptive Data Analysis","raw_type":"journal-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/A5053505180","display_name":"Gabriel Rilling","orcid":null},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210096929","display_name":"Laboratoire de Physique de l'ENS de Lyon","ror":"https://ror.org/00w5ay796","country_code":"FR","type":"facility","lineage":["https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210096929"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"GABRIEL RILLING","raw_affiliation_strings":["Laboratoire de Physique (UMR 5672 CNRS), \u00c9cole normale sup\u00e9rieure de Lyon, 46 all\u00e9e d'Italie, 69364 Lyon Cedex 07, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique (UMR 5672 CNRS), \u00c9cole normale sup\u00e9rieure de Lyon, 46 all\u00e9e d'Italie, 69364 Lyon Cedex 07, France","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I4210096929","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054988467","display_name":"Patrick Flandrin","orcid":"https://orcid.org/0000-0003-2846-6200"},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210096929","display_name":"Laboratoire de Physique de l'ENS de Lyon","ror":"https://ror.org/00w5ay796","country_code":"FR","type":"facility","lineage":["https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210096929"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"PATRICK FLANDRIN","raw_affiliation_strings":["Laboratoire de Physique (UMR 5672 CNRS), \u00c9cole normale sup\u00e9rieure de Lyon, 46 all\u00e9e d'Italie, 69364 Lyon Cedex 07, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique (UMR 5672 CNRS), \u00c9cole normale sup\u00e9rieure de Lyon, 46 all\u00e9e d'Italie, 69364 Lyon Cedex 07, France","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I4210096929","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053505180"],"corresponding_institution_ids":["https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I4210096929"],"apc_list":null,"apc_paid":null,"fwci":8.2784,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.97253571,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"01","issue":"01","first_page":"43","last_page":"59"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9980000257492065,"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 Techniques","score":0.9980000257492065,"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":0.9879999756813049,"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/T11343","display_name":"Power Transformer Diagnostics and Insulation","score":0.9557999968528748,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/hilbert\u2013huang-transform","display_name":"Hilbert\u2013Huang transform","score":0.803004264831543},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.6895724534988403},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.683111310005188},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6123818755149841},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5518234968185425},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5099037885665894},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.5089080333709717},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.49257951974868774},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45784538984298706},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4270947575569153},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4125470519065857},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4055285155773163},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3406873941421509},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3364188075065613},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10191157460212708}],"concepts":[{"id":"https://openalex.org/C25570617","wikidata":"https://www.wikidata.org/wiki/Q1006462","display_name":"Hilbert\u2013Huang transform","level":3,"score":0.803004264831543},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.6895724534988403},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.683111310005188},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6123818755149841},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5518234968185425},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5099037885665894},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.5089080333709717},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.49257951974868774},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45784538984298706},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4270947575569153},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4125470519065857},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4055285155773163},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3406873941421509},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3364188075065613},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10191157460212708},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s1793536909000023","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793536909000023","pdf_url":null,"source":{"id":"https://openalex.org/S16439242","display_name":"Advances in Adaptive Data Analysis","issn_l":"1793-5369","issn":["1793-5369","1793-7175"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Adaptive Data Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.516.2038","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.516.2038","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.archives-ouvertes.fr/docs/00/11/23/25/PDF/HHT06_articleGRPF.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:ensl-00112325v1","is_oa":false,"landing_page_url":"https://ens-lyon.hal.science/ensl-00112325","pdf_url":null,"source":{"id":"https://openalex.org/S4406922454","display_name":"SPIRE - Sciences Po Institutional REpository","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":"2006","raw_type":"Preprints, Working Papers, ..."}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W163612977","https://openalex.org/W2007221293","https://openalex.org/W2015544881","https://openalex.org/W2097209087","https://openalex.org/W2104745188"],"related_works":["https://openalex.org/W1964257586","https://openalex.org/W2053950896","https://openalex.org/W2416682162","https://openalex.org/W2366012805","https://openalex.org/W2367749276","https://openalex.org/W3176754182","https://openalex.org/W2361339958","https://openalex.org/W2183911703","https://openalex.org/W2099991177","https://openalex.org/W2362804981"],"abstract_inverted_index":{"Standard":[0],"exposition":[1],"of":[2,26,34,41,48,86,127],"Empirical":[3],"Mode":[4],"Decomposition":[5],"(EMD)":[6],"is":[7,29,53,62,79],"usually":[8],"done":[9],"within":[10],"a":[11,32,49,59,125],"continuous-time":[12],"setting":[13],"whereas,":[14],"in":[15,22,56,124],"practice,":[16],"the":[17,39,67,84,87,92,114],"effective":[18],"implementation":[19],"always":[20],"operates":[21],"discrete-time.":[23],"The":[24,45],"purpose":[25],"this":[27,105],"contribution":[28],"to":[30,71,121],"summarize":[31],"number":[33,126],"results":[35,123],"aimed":[36],"at":[37],"quantifying":[38],"influence":[40],"sampling":[42,73],"on":[43,83],"EMD.":[44],"idealized":[46],"case":[47],"sampled":[50],"pure":[51],"tone":[52],"first":[54],"considered":[55],"detail":[57],"and":[58],"theoretical":[60],"model":[61],"proposed":[63],"for":[64],"upper":[65],"bounding":[66],"approximation":[68],"error":[69],"due":[70],"finite":[72],"rates.":[74],"A":[75],"more":[76],"general":[77],"approach":[78],"then":[80],"discussed,":[81],"based":[82],"analysis":[85],"nonlinear":[88],"operator":[89],"that":[90],"underlies":[91],"EMD":[93],"(one":[94],"step)":[95],"sifting":[96],"process.":[97],"New":[98],"explicit,":[99],"yet":[100],"looser,":[101],"bounds":[102],"are":[103,119],"obtained":[104],"way,":[106],"whose":[107],"parameters":[108],"can":[109],"be":[110],"estimated":[111],"directly":[112],"from":[113],"analyzed":[115],"signal.":[116],"Theoretical":[117],"predictions":[118],"compared":[120],"simulation":[122],"well-controlled":[128],"numerical":[129],"experiments.":[130]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
