{"id":"https://openalex.org/W2096435337","doi":"https://doi.org/10.1109/icassp.2006.1660716","title":"Coefficient Symmetry for Implementing Odd-Order Lagrange-Type Variable Fractional-Delay Filters","display_name":"Coefficient Symmetry for Implementing Odd-Order Lagrange-Type Variable Fractional-Delay Filters","publication_year":2006,"publication_date":"2006-08-03","ids":{"openalex":"https://openalex.org/W2096435337","doi":"https://doi.org/10.1109/icassp.2006.1660716","mag":"2096435337"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2006.1660716","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2006.1660716","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings","raw_type":"proceedings-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/A5103181513","display_name":"Tian\u2013Bo Deng","orcid":null},"institutions":[{"id":"https://openalex.org/I129634264","display_name":"Toho University","ror":"https://ror.org/02hcx7n63","country_code":"JP","type":"education","lineage":["https://openalex.org/I129634264"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Tian-Bo Deng","raw_affiliation_strings":["Dept. of Inf. Sci., Toho Univ., Chiba#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Inf. Sci., Toho Univ., Chiba#TAB#","institution_ids":["https://openalex.org/I129634264"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103181513"],"corresponding_institution_ids":["https://openalex.org/I129634264"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1478079,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"III","last_page":"564"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9997000098228455,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9997000098228455,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.989799976348877,"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"}},{"id":"https://openalex.org/T12215","display_name":"Phytochemical Studies and Bioactivities","score":0.9782000184059143,"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/mathematics","display_name":"Mathematics","score":0.6564608812332153},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.6174572110176086},{"id":"https://openalex.org/keywords/lagrange-polynomial","display_name":"Lagrange polynomial","score":0.5882965326309204},{"id":"https://openalex.org/keywords/antisymmetric-relation","display_name":"Antisymmetric relation","score":0.583296537399292},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5661516189575195},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5196879506111145},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.48861199617385864},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4684871435165405},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4160737991333008},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41600847244262695},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3780973255634308},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3538135886192322},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21761587262153625},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.13524487614631653},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.13037541508674622},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1295395791530609}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6564608812332153},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.6174572110176086},{"id":"https://openalex.org/C64208722","wikidata":"https://www.wikidata.org/wiki/Q861606","display_name":"Lagrange polynomial","level":3,"score":0.5882965326309204},{"id":"https://openalex.org/C152401794","wikidata":"https://www.wikidata.org/wiki/Q583760","display_name":"Antisymmetric relation","level":2,"score":0.583296537399292},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5661516189575195},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5196879506111145},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.48861199617385864},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4684871435165405},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4160737991333008},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41600847244262695},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3780973255634308},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3538135886192322},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21761587262153625},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.13524487614631653},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.13037541508674622},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1295395791530609},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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":1,"locations":[{"id":"doi:10.1109/icassp.2006.1660716","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2006.1660716","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings","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":5,"referenced_works":["https://openalex.org/W2056565250","https://openalex.org/W2091504710","https://openalex.org/W2156278238","https://openalex.org/W2169539839","https://openalex.org/W2544116184"],"related_works":["https://openalex.org/W1968494762","https://openalex.org/W2527696949","https://openalex.org/W2075821346","https://openalex.org/W2085315802","https://openalex.org/W3082842373","https://openalex.org/W250569081","https://openalex.org/W2293405637","https://openalex.org/W1525419764","https://openalex.org/W2292457534","https://openalex.org/W2361594888"],"abstract_inverted_index":{"Lagrange-type":[0,27,45],"variable":[1],"fractional-delay":[2],"(VFD)":[3],"filters":[4,47],"are":[5],"simple":[6],"and":[7,20,30,56,80],"fundamental":[8],"tools":[9],"for":[10,71,86],"high-resolution":[11],"image":[12],"interpolation.":[13],"In":[14],"this":[15],"paper,":[16],"we":[17],"first":[18],"reveal":[19],"theoretically":[21],"prove":[22],"the":[23,33,37,43,53,68,72,81],"coefficient-symmetry":[24,34],"of":[25,83],"odd-order":[26,44],"VFD":[28,38,46,87],"filters,":[29],"then":[31],"exploit":[32],"in":[35],"implementing":[36],"filters.":[39],"We":[40],"show":[41],"that":[42],"can":[48,75,89],"be":[49,76,91],"efficiently":[50],"implemented":[51],"as":[52],"Farrow":[54],"structure":[55],"even-odd":[57],"structure,":[58],"whose":[59],"subfilters":[60],"have":[61],"mostly":[62],"symmetric":[63],"or":[64],"antisymmetric":[65],"coefficients.":[66],"Thus,":[67],"storage":[69],"cost":[70],"subfilter":[73],"coefficients":[74],"reduced":[77,92],"by":[78,93],"50%,":[79,94],"number":[82],"multiplications":[84],"required":[85],"filtering":[88],"also":[90],"which":[95],"facilitates":[96],"high-speed":[97],"signal":[98],"processing.":[99]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
