{"id":"https://openalex.org/W2302380960","doi":"https://doi.org/10.1142/s0219691316500144","title":"Greedy adaptive decomposition of signals based on nonlinear Fourier atoms","display_name":"Greedy adaptive decomposition of signals based on nonlinear Fourier atoms","publication_year":2016,"publication_date":"2016-03-15","ids":{"openalex":"https://openalex.org/W2302380960","doi":"https://doi.org/10.1142/s0219691316500144","mag":"2302380960"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691316500144","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691316500144","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"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":"International Journal of Wavelets, Multiresolution and Information Processing","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/A5016962594","display_name":"Kit Ian Kou","orcid":"https://orcid.org/0000-0003-1924-9087"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Kit Ian Kou","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macao, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macao, P. R. China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100339334","display_name":"Hong Li","orcid":"https://orcid.org/0000-0001-5597-5479"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hong Li","raw_affiliation_strings":["School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100339334"],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.01057019,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"14","issue":"03","first_page":"1650014","last_page":"1650014"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9983999729156494,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9973999857902527,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9961000084877014,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7677057981491089},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.7366173267364502},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.5645779371261597},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5304892659187317},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4434008300304413},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41886335611343384},{"id":"https://openalex.org/keywords/discrete-time-fourier-transform","display_name":"Discrete-time Fourier transform","score":0.41440534591674805},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.4134984612464905},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.39409029483795166},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38434919714927673},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.22775587439537048},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2055547535419464},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19798767566680908},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.14738789200782776},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.053504884243011475}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7677057981491089},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.7366173267364502},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.5645779371261597},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5304892659187317},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4434008300304413},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41886335611343384},{"id":"https://openalex.org/C122444316","wikidata":"https://www.wikidata.org/wiki/Q1440048","display_name":"Discrete-time Fourier transform","level":5,"score":0.41440534591674805},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.4134984612464905},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.39409029483795166},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38434919714927673},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.22775587439537048},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2055547535419464},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19798767566680908},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.14738789200782776},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.053504884243011475},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691316500144","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691316500144","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"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":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1970959301","https://openalex.org/W1973016182","https://openalex.org/W1974354169","https://openalex.org/W1991362204","https://openalex.org/W2021302824","https://openalex.org/W2039130198","https://openalex.org/W2071336090","https://openalex.org/W2082978565","https://openalex.org/W2092409600","https://openalex.org/W2154172459","https://openalex.org/W4249999916"],"related_works":["https://openalex.org/W3166675296","https://openalex.org/W4353087863","https://openalex.org/W2320412982","https://openalex.org/W2516295475","https://openalex.org/W2390401148","https://openalex.org/W2122827492","https://openalex.org/W1971280405","https://openalex.org/W2099309112","https://openalex.org/W2154898175","https://openalex.org/W2094657987"],"abstract_inverted_index":{"This":[0],"paper":[1],"aims":[2],"at":[3],"adaptive":[4,28],"decomposition":[5],"of":[6,10,56],"signals":[7],"in":[8],"terms":[9],"nonlinear":[11,15,33,57],"Fourier":[12,16,34,58],"atoms.":[13,35,59],"Each":[14],"atom":[17],"is":[18,24,46],"analytic":[19],"and":[20,68],"mono-component.":[21],"The":[22,36],"algorithm":[23,67],"considered":[25],"as":[26],"an":[27],"greedy":[29],"procedure":[30],"based":[31],"on":[32],"convergence":[37],"results":[38],"for":[39],"the":[40,65],"proposed":[41,66],"algorithms":[42],"show":[43],"that":[44],"it":[45],"suitable":[47],"to":[48,63],"approximate":[49],"a":[50,53],"signal":[51],"by":[52],"linear":[54],"combinations":[55],"Experiments":[60],"are":[61],"presented":[62],"illustrate":[64],"theory.":[69]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}