{"id":"https://openalex.org/W2002783167","doi":"https://doi.org/10.1142/s0219691310003791","title":"ADAPTIVE DECOMPOSITION OF FUNCTIONS INTO PIECES OF NON-NEGATIVE INSTANTANEOUS FREQUENCIES","display_name":"ADAPTIVE DECOMPOSITION OF FUNCTIONS INTO PIECES OF NON-NEGATIVE INSTANTANEOUS FREQUENCIES","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2002783167","doi":"https://doi.org/10.1142/s0219691310003791","mag":"2002783167"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691310003791","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691310003791","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/A5061909226","display_name":"Tao Qian","orcid":"https://orcid.org/0000-0002-8780-9958"},"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":true,"raw_author_name":"TAO QIAN","raw_affiliation_strings":["Department of Mathematics, FST, University of Macau, Taipa, Macau, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, FST, University of Macau, Taipa, Macau, P. R. China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061440723","display_name":"Io-Tong Ho","orcid":null},"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":"I. T. HO","raw_affiliation_strings":["Department of Mathematics, FST, University of Macau, Taipa, Macau, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, FST, University of Macau, Taipa, Macau, P. R. China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042442278","display_name":"Ieng Tak Leong","orcid":"https://orcid.org/0000-0002-4242-5205"},"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":"I. T. LEONG","raw_affiliation_strings":["Department of Mathematics, FST, University of Macau, Taipa, Macau, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, FST, University of Macau, Taipa, Macau, P. R. China","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075285795","display_name":"Yanbo Wang","orcid":null},"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":"YANBO WANG","raw_affiliation_strings":["Department of Mathematics, FST, University of Macau, Taipa, Macau, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, FST, University of Macau, Taipa, Macau, P. R. China","institution_ids":["https://openalex.org/I204512498"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5061909226"],"corresponding_institution_ids":["https://openalex.org/I204512498"],"apc_list":null,"apc_paid":null,"fwci":3.2133,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.8989901,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"08","issue":"05","first_page":"813","last_page":"833"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13261","display_name":"Elasticity and Wave Propagation","score":0.9815999865531921,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T13261","display_name":"Elasticity and Wave Propagation","score":0.9815999865531921,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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":0.9624999761581421,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9539999961853027,"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/decomposition","display_name":"Decomposition","score":0.8276946544647217},{"id":"https://openalex.org/keywords/instantaneous-phase","display_name":"Instantaneous phase","score":0.7837506532669067},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5751264095306396},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.5292457938194275},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5255488157272339},{"id":"https://openalex.org/keywords/terminology","display_name":"Terminology","score":0.5121049880981445},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4697236120700836},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.4685407876968384},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.45249882340431213},{"id":"https://openalex.org/keywords/time\u2013frequency-analysis","display_name":"Time\u2013frequency analysis","score":0.44888415932655334},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.43730950355529785},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.41196078062057495},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39890921115875244},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37772852182388306},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24225500226020813},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17221251130104065},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.13556858897209167},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.08945584297180176},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.0865263044834137},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.05610692501068115},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.055323123931884766}],"concepts":[{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.8276946544647217},{"id":"https://openalex.org/C137798554","wikidata":"https://www.wikidata.org/wiki/Q6038852","display_name":"Instantaneous phase","level":3,"score":0.7837506532669067},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5751264095306396},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.5292457938194275},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5255488157272339},{"id":"https://openalex.org/C547195049","wikidata":"https://www.wikidata.org/wiki/Q1725664","display_name":"Terminology","level":2,"score":0.5121049880981445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4697236120700836},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.4685407876968384},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.45249882340431213},{"id":"https://openalex.org/C142433447","wikidata":"https://www.wikidata.org/wiki/Q7806653","display_name":"Time\u2013frequency analysis","level":3,"score":0.44888415932655334},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.43730950355529785},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.41196078062057495},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39890921115875244},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37772852182388306},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24225500226020813},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17221251130104065},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.13556858897209167},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.08945584297180176},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0865263044834137},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05610692501068115},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.055323123931884766},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219691310003791","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691310003791","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.711.7162","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.711.7162","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.fst.umac.mo/en/staff/documents/fsttq/70-QHLW.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.800000011920929,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322841","display_name":"Universidade de Macau","ror":"https://ror.org/01r4q9n85"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1594563152","https://openalex.org/W1684575962","https://openalex.org/W1814775863","https://openalex.org/W1981659527","https://openalex.org/W1984312331","https://openalex.org/W2007221293","https://openalex.org/W2028682334","https://openalex.org/W2037612300","https://openalex.org/W2040491266","https://openalex.org/W2048511403","https://openalex.org/W2053950896","https://openalex.org/W2061768614","https://openalex.org/W2082978565","https://openalex.org/W2092409600","https://openalex.org/W2132085292","https://openalex.org/W2134679800","https://openalex.org/W2141802348","https://openalex.org/W2164847051","https://openalex.org/W3151807103","https://openalex.org/W3161439748","https://openalex.org/W4299552129"],"related_works":["https://openalex.org/W2134843605","https://openalex.org/W3091698330","https://openalex.org/W116012085","https://openalex.org/W1619742598","https://openalex.org/W2121898104","https://openalex.org/W2889771308","https://openalex.org/W2362530701","https://openalex.org/W2394182905","https://openalex.org/W3099055523","https://openalex.org/W2138631181"],"abstract_inverted_index":{"We":[0,25,39],"introduce":[1],"the":[2,17,41],"concept":[3],"of":[4,7,13,16],"adaptive":[5],"decomposition":[6],"signals":[8],"into":[9],"basic":[10],"building":[11],"blocks,":[12],"which":[14],"each":[15],"non-negative":[18],"analytic":[19],"instantaneous":[20],"frequency":[21],"are":[22],"called":[23],"mono-components.":[24],"propose":[26],"certain":[27],"methods":[28],"based":[29],"on":[30],"p-starlike":[31],"functions":[32],"and":[33],"Fourier":[34],"expansions":[35],"for":[36],"such":[37],"decomposition.":[38],"justify":[40],"terminology":[42],"mono-component":[43],"used":[44],"in":[45],"signal":[46],"analysis.":[47]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}