{"id":"https://openalex.org/W2109442086","doi":"https://doi.org/10.1155/s1110865702207040","title":"Some Results on the Wavelet Packet Decomposition of Nonstationary Processes","display_name":"Some Results on the Wavelet Packet Decomposition of Nonstationary Processes","publication_year":2002,"publication_date":"2002-11-28","ids":{"openalex":"https://openalex.org/W2109442086","doi":"https://doi.org/10.1155/s1110865702207040","mag":"2109442086"},"language":"en","primary_location":{"id":"doi:10.1155/s1110865702207040","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s1110865702207040","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/S1110865702207040","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/S1110865702207040","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113527847","display_name":"Sami Touati","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sami Touati","raw_affiliation_strings":["Equipe Signal pour les Communication, Institut d'\u00e9lectronique et d'informatique Gaspard-Monge and URA 820, Universit\u00e9 de Marne-la-Vall\u00e9e, 5 boulevard Descartes, Champs sur Marne, Marne la Vall\u00e9e C\u00e9dex 2, 77 454, France","Equipe Signal pour les Communication, Institut d'\u00e9lectronique et d'informatique Gaspard-Monge and Universit\u00e9 de Marne-la-Vall\u00e9e, Marne la Vall\u00e9e C\u00e9dex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Equipe Signal pour les Communication, Institut d'\u00e9lectronique et d'informatique Gaspard-Monge and URA 820, Universit\u00e9 de Marne-la-Vall\u00e9e, 5 boulevard Descartes, Champs sur Marne, Marne la Vall\u00e9e C\u00e9dex 2, 77 454, France","institution_ids":["https://openalex.org/I4210152518"]},{"raw_affiliation_string":"Equipe Signal pour les Communication, Institut d'\u00e9lectronique et d'informatique Gaspard-Monge and Universit\u00e9 de Marne-la-Vall\u00e9e, Marne la Vall\u00e9e C\u00e9dex, France","institution_ids":["https://openalex.org/I4210152518"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062845079","display_name":"Jean\u2010Christophe Pesquet","orcid":"https://orcid.org/0000-0002-5943-8061"},"institutions":[{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Christophe Pesquet","raw_affiliation_strings":["Equipe Signal pour les Communication, Institut d'\u00e9lectronique et d'informatique Gaspard-Monge and URA 820, Universit\u00e9 de Marne-la-Vall\u00e9e, 5 boulevard Descartes, Champs sur Marne, Marne la Vall\u00e9e C\u00e9dex 2, 77 454, France","Equipe Signal pour les Communication, Institut d'\u00e9lectronique et d'informatique Gaspard-Monge and Universit\u00e9 de Marne-la-Vall\u00e9e, Marne la Vall\u00e9e C\u00e9dex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Equipe Signal pour les Communication, Institut d'\u00e9lectronique et d'informatique Gaspard-Monge and URA 820, Universit\u00e9 de Marne-la-Vall\u00e9e, 5 boulevard Descartes, Champs sur Marne, Marne la Vall\u00e9e C\u00e9dex 2, 77 454, France","institution_ids":["https://openalex.org/I4210152518"]},{"raw_affiliation_string":"Equipe Signal pour les Communication, Institut d'\u00e9lectronique et d'informatique Gaspard-Monge and Universit\u00e9 de Marne-la-Vall\u00e9e, Marne la Vall\u00e9e C\u00e9dex, France","institution_ids":["https://openalex.org/I4210152518"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1140,"currency":"GBP","value_usd":1398},"apc_paid":{"value":1140,"currency":"GBP","value_usd":1398},"fwci":0.2328,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.51785078,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2002","issue":"11","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9624000191688538,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9520000219345093,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cyclostationary-process","display_name":"Cyclostationary process","score":0.9709830284118652},{"id":"https://openalex.org/keywords/wavelet-packet-decomposition","display_name":"Wavelet packet decomposition","score":0.7630332708358765},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.7552045583724976},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49258953332901},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.47988712787628174},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.450716108083725},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38929301500320435},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.3472128212451935},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21866416931152344},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2025756537914276},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.09726086258888245},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.08821490406990051}],"concepts":[{"id":"https://openalex.org/C178351263","wikidata":"https://www.wikidata.org/wiki/Q3922399","display_name":"Cyclostationary process","level":3,"score":0.9709830284118652},{"id":"https://openalex.org/C155777637","wikidata":"https://www.wikidata.org/wiki/Q2736187","display_name":"Wavelet packet decomposition","level":4,"score":0.7630332708358765},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.7552045583724976},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49258953332901},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.47988712787628174},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.450716108083725},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38929301500320435},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.3472128212451935},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21866416931152344},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2025756537914276},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.09726086258888245},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.08821490406990051}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/s1110865702207040","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s1110865702207040","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/S1110865702207040","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:e11ac660dff24faba6e4a6b389e43e49","is_oa":true,"landing_page_url":"https://doaj.org/article/e11ac660dff24faba6e4a6b389e43e49","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Advances in Signal Processing, Vol 2002, Iss 11, p 214797 (2002)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/s1110865702207040","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s1110865702207040","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/S1110865702207040","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2109442086.pdf","grobid_xml":"https://content.openalex.org/works/W2109442086.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W568232992","https://openalex.org/W1983461984","https://openalex.org/W2020061675","https://openalex.org/W2062962812","https://openalex.org/W2066990444","https://openalex.org/W2113476857","https://openalex.org/W2116049366","https://openalex.org/W2121691307","https://openalex.org/W2132984323","https://openalex.org/W2137440839","https://openalex.org/W2169548558","https://openalex.org/W4248646870","https://openalex.org/W4252514487","https://openalex.org/W6680302486"],"related_works":["https://openalex.org/W4245508182","https://openalex.org/W4233511069","https://openalex.org/W2046633342","https://openalex.org/W2370050053","https://openalex.org/W2372936409","https://openalex.org/W53954450","https://openalex.org/W2365287829","https://openalex.org/W2389645710","https://openalex.org/W2379553594","https://openalex.org/W2351059076"],"abstract_inverted_index":{"Wavelet/wavelet":[0],"packet":[1,38,71,88],"decomposition":[2,39],"has":[3],"become":[4],"a":[5,41,58],"very":[6],"useful":[7],"tool":[8],"in":[9,19,48,57,97],"describing":[10],"nonstationary":[11,16,45],"processes.":[12,26,53],"Important":[13],"examples":[14],"of":[15,35,40,44,66,69,86,94],"processes":[17,23],"encountered":[18],"practice":[20],"are":[21],"cyclostationary":[22,50,99],"or":[24],"almost-cyclostationary":[25,52,79],"In":[27],"this":[28],"paper,":[29],"we":[30,91],"study":[31,75],"the":[32,36,61,67,78,83,98],"statistical":[33],"properties":[34,65],"wavelet":[37,70,87],"large":[42],"class":[43],"processes,":[46],"including":[47],"particular":[49],"and":[51,63,81],"We":[54,73],"first":[55],"investigate":[56],"general":[59],"framework,":[60],"existence":[62],"some":[64,93,103],"cumulants":[68],"coefficients.":[72,89],"then":[74],"more":[76],"precisely":[77],"case,":[80],"determine":[82],"asymptotic":[84],"distributions":[85],"Finally,":[90],"particularize":[92],"our":[95],"results":[96],"case":[100],"before":[101],"providing":[102],"illustrative":[104],"simulations.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}