{"id":"https://openalex.org/W1537437561","doi":"https://doi.org/10.1109/cybconf.2015.7175968","title":"Redundant graph Fourier transform","display_name":"Redundant graph Fourier transform","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1537437561","doi":"https://doi.org/10.1109/cybconf.2015.7175968","mag":"1537437561"},"language":"en","primary_location":{"id":"doi:10.1109/cybconf.2015.7175968","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cybconf.2015.7175968","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 2nd International Conference on Cybernetics (CYBCONF)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5023764423","display_name":"Xianwei Zheng","orcid":"https://orcid.org/0000-0002-7045-0803"},"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":"Xianwei Zheng","raw_affiliation_strings":["Department of Computer and Information Science, University of Macau, Macau"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, University of Macau, Macau","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109361262","display_name":"Yuanyan Tang","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":"Yuanyan Tang","raw_affiliation_strings":["Department of Computer and Information Science, University of Macau, Macau"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, University of Macau, Macau","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037979193","display_name":"Jiantao Zhou","orcid":"https://orcid.org/0000-0002-6015-2618"},"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":"Jiantao Zhou","raw_affiliation_strings":["Department of Computer and Information Science, University of Macau, Macau"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, University of Macau, Macau","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008154497","display_name":"Lina Yang","orcid":"https://orcid.org/0000-0003-3489-1887"},"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"]},{"id":"https://openalex.org/I4210118063","display_name":"Guangxi Normal University for Nationalities","ror":"https://ror.org/02cejc171","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210118063"]}],"countries":["CN","MO"],"is_corresponding":false,"raw_author_name":"Lina Yang","raw_affiliation_strings":["Department of Computer and Information Science, University of Macau, Macau","Guangxi Normal University for Nationalities, Chongzuo, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, University of Macau, Macau","institution_ids":["https://openalex.org/I204512498"]},{"raw_affiliation_string":"Guangxi Normal University for Nationalities, Chongzuo, China","institution_ids":["https://openalex.org/I4210118063"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016933731","display_name":"Haoliang Yuan","orcid":"https://orcid.org/0000-0001-5167-226X"},"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":"Haoliang Yuan","raw_affiliation_strings":["Department of Computer and Information Science, University of Macau, Macau"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, University of Macau, Macau","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100449211","display_name":"Yulong Wang","orcid":"https://orcid.org/0000-0003-0759-2208"},"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":"Yulong Wang","raw_affiliation_strings":["Department of Computer and Information Science, University of Macau, Macau"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, University of Macau, Macau","institution_ids":["https://openalex.org/I204512498"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100669921","display_name":"Chunli Li","orcid":"https://orcid.org/0000-0003-1495-5740"},"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":"Chunli Li","raw_affiliation_strings":["Department of Computer and Information Science, University of Macau, Macau"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, University of Macau, Macau","institution_ids":["https://openalex.org/I204512498"]}]}],"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":1,"citation_normalized_percentile":{"value":0.02571924,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"130","issue":null,"first_page":"406","last_page":"409"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5880258083343506},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5596531629562378},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.5218871235847473},{"id":"https://openalex.org/keywords/parsevals-theorem","display_name":"Parseval's theorem","score":0.520403265953064},{"id":"https://openalex.org/keywords/spectral-graph-theory","display_name":"Spectral graph theory","score":0.4497976005077362},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43206924200057983},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.41922205686569214},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3956282138824463},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.38520437479019165},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33953264355659485},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3250073492527008},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.2465326488018036},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.2400607466697693},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.15455099940299988},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11853399872779846}],"concepts":[{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5880258083343506},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5596531629562378},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.5218871235847473},{"id":"https://openalex.org/C89451469","wikidata":"https://www.wikidata.org/wiki/Q1443036","display_name":"Parseval's theorem","level":5,"score":0.520403265953064},{"id":"https://openalex.org/C74003402","wikidata":"https://www.wikidata.org/wiki/Q3180727","display_name":"Spectral graph theory","level":5,"score":0.4497976005077362},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43206924200057983},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.41922205686569214},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3956282138824463},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.38520437479019165},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33953264355659485},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3250073492527008},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.2465326488018036},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.2400607466697693},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.15455099940299988},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11853399872779846},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cybconf.2015.7175968","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cybconf.2015.7175968","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 2nd International Conference on Cybernetics (CYBCONF)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W228380312","https://openalex.org/W1571821595","https://openalex.org/W1675962120","https://openalex.org/W1980811840","https://openalex.org/W1988856158","https://openalex.org/W2008301799","https://openalex.org/W2090450546","https://openalex.org/W2101491865","https://openalex.org/W2158787690","https://openalex.org/W2160660350","https://openalex.org/W2170678594","https://openalex.org/W2610857016","https://openalex.org/W4229706427"],"related_works":["https://openalex.org/W2059877382","https://openalex.org/W4378976563","https://openalex.org/W2277510560","https://openalex.org/W2520497668","https://openalex.org/W2348509063","https://openalex.org/W2490922394","https://openalex.org/W2119217393","https://openalex.org/W2154898175","https://openalex.org/W4254786703","https://openalex.org/W2184985477"],"abstract_inverted_index":{"Signal":[0],"processing":[1,10],"on":[2,16,42],"graphs":[3],"is":[4,56],"a":[5,59,69],"new":[6,21],"emerging":[7],"field":[8],"that":[9,85],"high-dimensional":[11],"data":[12],"by":[13,96],"spreading":[14],"samples":[15],"networks":[17],"or":[18,38],"graphs.":[19],"The":[20,72],"introduced":[22],"definition":[23,49],"of":[24,35,50,68,76,98],"graph":[25,43,52,79,108],"Fourier":[26,53,80,103,109],"transform":[27,62,81,104],"shows":[28],"its":[29],"importance":[30],"in":[31,89],"establishing":[32],"the":[33,48,77,99],"theory":[34],"frequency":[36],"analysis":[37,41],"computational":[39],"harmonic":[40],"signal":[44,90],"processing.":[45,91],"We":[46],"introduce":[47],"redundant":[51,78,102],"transform,":[54],"which":[55],"defined":[57],"via":[58],"Parseval":[60],"frame":[61],"generated":[63],"from":[64],"an":[65],"extended":[66,100],"Laplacian":[67],"given":[70],"graph.":[71],"flexibility":[73],"and":[74,95],"sparsity":[75],"are":[82],"important":[83],"properties":[84],"will":[86],"be":[87],"useful":[88],"In":[92],"certain":[93],"applications":[94],"selections":[97],"Laplacian,":[101],"performs":[105],"better":[106],"than":[107],"transform.":[110]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}