{"id":"https://openalex.org/W162829448","doi":"https://doi.org/10.1007/978-3-642-33478-8_66","title":"Two-Dimensional Gibbs Phenomenon for Fractional Fourier Series and Its Resolution","display_name":"Two-Dimensional Gibbs Phenomenon for Fractional Fourier Series and Its Resolution","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W162829448","doi":"https://doi.org/10.1007/978-3-642-33478-8_66","mag":"162829448"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-33478-8_66","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-33478-8_66","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5089089019","display_name":"Meiyu Ding","orcid":null},"institutions":[{"id":"https://openalex.org/I143593769","display_name":"East China University of Science and Technology","ror":"https://ror.org/01vyrm377","country_code":"CN","type":"education","lineage":["https://openalex.org/I143593769"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Meiyu Ding","raw_affiliation_strings":["Department of Electronics and Communications Engineering, East China University of Science and Technology, Shanghai, China","[Department of Electronics and Communications Engineering, East China University of Science and Technology, Shanghai, China]"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Communications Engineering, East China University of Science and Technology, Shanghai, China","institution_ids":["https://openalex.org/I143593769"]},{"raw_affiliation_string":"[Department of Electronics and Communications Engineering, East China University of Science and Technology, Shanghai, China]","institution_ids":["https://openalex.org/I143593769"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005274186","display_name":"Hongqing Zhu","orcid":"https://orcid.org/0000-0002-2122-7066"},"institutions":[{"id":"https://openalex.org/I143593769","display_name":"East China University of Science and Technology","ror":"https://ror.org/01vyrm377","country_code":"CN","type":"education","lineage":["https://openalex.org/I143593769"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongqing Zhu","raw_affiliation_strings":["Department of Electronics and Communications Engineering, East China University of Science and Technology, Shanghai, China","[Department of Electronics and Communications Engineering, East China University of Science and Technology, Shanghai, China]"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Communications Engineering, East China University of Science and Technology, Shanghai, China","institution_ids":["https://openalex.org/I143593769"]},{"raw_affiliation_string":"[Department of Electronics and Communications Engineering, East China University of Science and Technology, Shanghai, China]","institution_ids":["https://openalex.org/I143593769"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089089019"],"corresponding_institution_ids":["https://openalex.org/I143593769"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.769,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.75515464,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"530","last_page":"538"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9983999729156494,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9968000054359436,"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":0.9948999881744385,"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/gibbs-phenomenon","display_name":"Gibbs phenomenon","score":0.9039028882980347},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.7670759558677673},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5917538404464722},{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.5762145519256592},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5049658417701721},{"id":"https://openalex.org/keywords/discrete-fourier-series","display_name":"Discrete Fourier series","score":0.5019011497497559},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4527393579483032},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.4524981379508972},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41629183292388916},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3569289743900299},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.10113328695297241},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08698129653930664}],"concepts":[{"id":"https://openalex.org/C149568634","wikidata":"https://www.wikidata.org/wiki/Q5374","display_name":"Gibbs phenomenon","level":3,"score":0.9039028882980347},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.7670759558677673},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5917538404464722},{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.5762145519256592},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5049658417701721},{"id":"https://openalex.org/C175225751","wikidata":"https://www.wikidata.org/wiki/Q15927242","display_name":"Discrete Fourier series","level":5,"score":0.5019011497497559},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4527393579483032},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.4524981379508972},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41629183292388916},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3569289743900299},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.10113328695297241},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08698129653930664},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-33478-8_66","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-33478-8_66","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1647470094","https://openalex.org/W1964699038","https://openalex.org/W1966469530","https://openalex.org/W1975554898","https://openalex.org/W1985483518","https://openalex.org/W2000501709","https://openalex.org/W2022778463","https://openalex.org/W2024065794","https://openalex.org/W2042333371","https://openalex.org/W2048400570","https://openalex.org/W2081911580","https://openalex.org/W2109843992","https://openalex.org/W2154898175","https://openalex.org/W4229534253"],"related_works":["https://openalex.org/W2094684004","https://openalex.org/W6842695","https://openalex.org/W4298260447","https://openalex.org/W2099309112","https://openalex.org/W3195717706","https://openalex.org/W4387646299","https://openalex.org/W2055315600","https://openalex.org/W1574935133","https://openalex.org/W2952516290","https://openalex.org/W4234757101"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}