{"id":"https://openalex.org/W7137146854","doi":"https://doi.org/10.1109/tsipn.2026.3674421","title":"Hyper-Differential Operator-Based Graph Fractional Fourier Transform: Novel Approaches and Applications","display_name":"Hyper-Differential Operator-Based Graph Fractional Fourier Transform: Novel Approaches and Applications","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7137146854","doi":"https://doi.org/10.1109/tsipn.2026.3674421"},"language":null,"primary_location":{"id":"doi:10.1109/tsipn.2026.3674421","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsipn.2026.3674421","pdf_url":null,"source":{"id":"https://openalex.org/S4306422866","display_name":"IEEE Transactions on Signal and Information Processing over Networks","issn_l":"2373-776X","issn":["2373-776X","2373-7778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal and Information Processing over Networks","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":null,"display_name":"Jian-Yi Chen","orcid":"https://orcid.org/0009-0005-4507-6185"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian-Yi Chen","raw_affiliation_strings":["School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China"],"raw_orcid":"https://orcid.org/0009-0005-4507-6185","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076291469","display_name":"Bing\u2010Zhao Li","orcid":"https://orcid.org/0000-0002-3850-4656"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bing-Zhao Li","raw_affiliation_strings":["Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-3850-4656","affiliations":[{"raw_affiliation_string":"Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002965035","display_name":"Linyu Peng","orcid":"https://orcid.org/0000-0002-9255-8575"},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Linyu Peng","raw_affiliation_strings":["Department of Mechanical Engineering, Keio University, Yokohama, Japan"],"raw_orcid":"https://orcid.org/0000-0002-9255-8575","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Keio University, Yokohama, Japan","institution_ids":["https://openalex.org/I203951103"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.36533958,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":null,"first_page":"411","last_page":"423"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.7688999772071838,"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":0.7688999772071838,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.023399999365210533,"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/T11873","display_name":"PAPR reduction in OFDM","score":0.011800000444054604,"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/graph","display_name":"Graph","score":0.45489999651908875},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.3571999967098236},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.31290000677108765},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.28380000591278076}],"concepts":[{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.45489999651908875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4327000081539154},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42559999227523804},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4198000133037567},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.3571999967098236},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.31290000677108765},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2955999970436096},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2904999852180481},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.28380000591278076},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.28349998593330383},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.25450000166893005}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsipn.2026.3674421","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsipn.2026.3674421","pdf_url":null,"source":{"id":"https://openalex.org/S4306422866","display_name":"IEEE Transactions on Signal and Information Processing over Networks","issn_l":"2373-776X","issn":["2373-776X","2373-7778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal and Information Processing over Networks","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G379662559","display_name":null,"funder_award_id":"4242011","funder_id":"https://openalex.org/F4320322919","funder_display_name":"Natural Science Foundation of Beijing Municipality"},{"id":"https://openalex.org/G4798620234","display_name":null,"funder_award_id":"62171041","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320320909","display_name":"Keio University","ror":"https://ror.org/02kn6nx58"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322919","display_name":"Natural Science Foundation of Beijing Municipality","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"novel":[3],"approaches":[4],"and":[5,20,40,67,88,117],"applications":[6,81],"for":[7,23],"hyper-differential":[8],"operator-based":[9],"graph":[10,24,37,43,56,126],"fractional":[11,42,122],"Fourier":[12,38,44],"transform":[13,39],"(HGFrFT),":[14],"which":[15],"provides":[16],"a":[17],"more":[18],"flexible":[19],"efficient":[21],"framework":[22,116],"signal":[25,104,111],"processing.":[26],"Its":[27],"mathematical":[28],"foundation":[29],"is":[30,100],"derived":[31],"through":[32],"the":[33,36,41,52,62,77,80,83,95,98],"relationship":[34],"between":[35],"transform,":[45],"thereby":[46],"enhancing":[47],"its":[48,107],"ability":[49],"to":[50,61,75,109],"represent":[51],"underlying":[53],"structure":[54],"of":[55,82,97],"signals.":[57],"Specifically,":[58],"four":[59],"solutions":[60],"Sylvester":[63],"equation":[64],"are":[65,73,92],"discussed,":[66],"two":[68],"fixed":[69],"hyperdifferential":[70],"operator":[71,123],"matrices":[72],"introduced":[74],"define":[76],"HGFrFT.":[78],"Furthermore,":[79],"HGFrFT":[84,99],"in":[85,102,125],"vertex-frequency":[86],"analysis":[87],"optimal":[89],"filter":[90],"design":[91],"explored.":[93],"Finally,":[94],"effectiveness":[96],"validated":[101],"electrocardiogram":[103],"classification,":[105],"demonstrating":[106],"applicability":[108],"real-world":[110],"processing":[112],"tasks.":[113],"The":[114],"theoretical":[115],"experimental":[118],"results":[119],"collectively":[120],"advance":[121],"theory":[124],"domains.":[127]},"counts_by_year":[],"updated_date":"2026-03-31T06:02:25.137627","created_date":"2026-03-17T00:00:00"}
