{"id":"https://openalex.org/W2123265291","doi":"https://doi.org/10.1109/tcsi.2010.2089558","title":"Closed-Form Mixed Design of High-Accuracy All-Pass Variable Fractional-Delay Digital Filters","display_name":"Closed-Form Mixed Design of High-Accuracy All-Pass Variable Fractional-Delay Digital Filters","publication_year":2010,"publication_date":"2010-11-30","ids":{"openalex":"https://openalex.org/W2123265291","doi":"https://doi.org/10.1109/tcsi.2010.2089558","mag":"2123265291"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2010.2089558","doi":"https://doi.org/10.1109/tcsi.2010.2089558","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2010.2089558","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-c","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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 Circuits and Systems I: Regular Papers","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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":"https://orcid.org/0000-0002-8501-9151","observed_orcids":["https://orcid.org/0000-0002-8501-9151"]},"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":["Department of Information Science, Faculty of Science, Toho University, Chiba, Japan","Dept. of Information Sci., Toho Univ., Chiba, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Science, Faculty of Science, Toho University, Chiba, Japan","institution_ids":["https://openalex.org/I129634264"]},{"raw_affiliation_string":"Dept. of Information Sci., Toho Univ., Chiba, Japan","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":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":6.2246,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.96907009,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"58","issue":"5","first_page":"1008","last_page":"1019"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9951000213623047,"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":0.9951000213623047,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.0035000001080334187,"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/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.0005000000237487257,"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/all-pass-filter","display_name":"all-pass filter","score":0.8519999980926514},{"id":"https://openalex.org/keywords/digital-filter-design","display_name":"digital filter design","score":0.8149999976158142},{"id":"https://openalex.org/keywords/closed-form-design","display_name":"closed-form design","score":0.8309999704360962},{"id":"https://openalex.org/keywords/weighted-least-squares","display_name":"weighted least squares","score":0.8149999976158142},{"id":"https://openalex.org/keywords/taylor-expansion","display_name":"Taylor series expansion","score":0.796999990940094},{"id":"https://openalex.org/keywords/phase-error","display_name":"phase error","score":0.49399998784065247},{"id":"https://openalex.org/keywords/frequency-response-error","display_name":"frequency response error","score":0.7459999918937683},{"id":"https://openalex.org/keywords/dichotomous-search","display_name":"dichotomous search","score":0.7879999876022339},{"id":"https://openalex.org/keywords/low-complexity-filters","display_name":"low-complexity filters","score":0.8529999852180481}],"concepts":[{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.6676062345504761},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.651177704334259},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5055606365203857},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4929220676422119},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.45463743805885315},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4388082027435303},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3742947578430176},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3709419071674347},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2629052400588989},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18998676538467407},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09899327158927917},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsi.2010.2089558","doi":"https://doi.org/10.1109/tcsi.2010.2089558","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2010.2089558","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-c","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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 Circuits and Systems I: Regular Papers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G5462779886","display_name":"Stability Guarantee of All-Pass Multi-Dimensional Variable Fractional-Delay Filter and High-Accuracy Image Interpolation","funder_award_id":"21560415","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1519405745","https://openalex.org/W1876018024","https://openalex.org/W1964310290","https://openalex.org/W1965224592","https://openalex.org/W1971070388","https://openalex.org/W2056565250","https://openalex.org/W2061480676","https://openalex.org/W2077130882","https://openalex.org/W2091504710","https://openalex.org/W2093259821","https://openalex.org/W2097722185","https://openalex.org/W2101127805","https://openalex.org/W2102293973","https://openalex.org/W2103226158","https://openalex.org/W2106510062","https://openalex.org/W2109782042","https://openalex.org/W2115670379","https://openalex.org/W2125304362","https://openalex.org/W2138163999","https://openalex.org/W2139239566","https://openalex.org/W2140234511","https://openalex.org/W2143407595","https://openalex.org/W2147240800","https://openalex.org/W2147996497","https://openalex.org/W2149046860","https://openalex.org/W2149284091","https://openalex.org/W2154449478","https://openalex.org/W2156278238","https://openalex.org/W2162889431","https://openalex.org/W2166063531","https://openalex.org/W2169539839","https://openalex.org/W2564350046","https://openalex.org/W3159068915","https://openalex.org/W4243666350"],"related_works":["https://openalex.org/W2138163999","https://openalex.org/W2149284091","https://openalex.org/W2115035534","https://openalex.org/W2147260687","https://openalex.org/W7098927271","https://openalex.org/W2149046860","https://openalex.org/W2193826080","https://openalex.org/W4300893342","https://openalex.org/W7096511609","https://openalex.org/W2093259821"],"abstract_inverted_index":{"This":[0,220],"paper":[1],"presents":[2],"a":[3,59,101,123,182,208,253],"closed-form":[4,124,155,243],"method":[5,246],"for":[6,190],"minimizing":[7],"the":[8,43,66,77,87,98,107,118,137,146,162,169,175,178,192,197,202,225,242],"weighted":[9,108],"squared":[10,44,109,113],"error":[11,31,46,56,69,103,111,126,138,157,228,231],"of":[12,16,32,70,100,133,177,196,215],"variable":[13,33],"fractional-delay":[14],"(VFD)":[15],"an":[17,23,71,93,230],"all-pass":[18,72,216,249],"VFD":[19,45,73,110,152,198,217,227,250,255],"digital":[20],"filter":[21,74,210,218],"under":[22,207],"equality":[24],"constraint":[25,212],"on":[26],"its":[27,53,80,261],"normalized":[28],"root-mean-squared":[29],"(NRMS)":[30],"frequency":[34,262],"response":[35,256],"(VFR).":[36],"The":[37,154],"main":[38],"purpose":[39],"is":[40,75,188],"to":[41,239],"reduce":[42,117],"as":[47,49,79,172,229],"much":[48],"possible":[50],"while":[51],"keeping":[52],"NRMS":[54,226],"VFR":[55,68,114],"exactly":[57],"at":[58],"predetermined":[60],"value.":[61],"We":[62],"first":[63],"prove":[64],"that":[65,105,241],"linearized":[67,81],"almost":[76],"same":[78],"phase":[82],"error,":[83],"and":[84,112,151,200,235],"then":[85,201],"convert":[86],"equality-constrained":[88],"weighted-least-squares":[89],"(WLS)":[90],"design":[91,147,170],"into":[92],"unconstrained":[94],"optimization":[95,222],"problem":[96],"through":[97],"minimization":[99],"mixed":[102,125,156,244],"function":[104,127,158],"mixes":[106],"error.":[115],"To":[116],"computational":[119,163],"complexity,":[120,164],"we":[121],"derive":[122],"by":[128],"utilizing":[129],"Taylor":[130],"series":[131],"expansions":[132],"trigonometric":[134],"functions.":[135],"Therefore,":[136],"functions":[139],"can":[140],"be":[141],"efficiently":[142],"computed":[143],"without":[144,258],"discretizing":[145],"parameters":[148],"(frequency":[149],"\u03c9":[150],"parameterp).":[153],"not":[159],"only":[160],"reduces":[161],"but":[165,257],"also":[166],"speeds":[167],"up":[168],"process":[171,223],"well":[173],"guarantees":[174],"optimality":[176],"final":[179],"solution.":[180],"Furthermore,":[181],"two-point":[183],"search":[184],"(dichotomous":[185],"search)":[186],"scheme":[187],"proposed":[189],"finding":[191],"optimal":[193],"rangep\u2208":[194],"[pMin,pMax]":[195],"parameterp,":[199],"subfilter":[203],"orders":[204],"are":[205,237],"optimized":[206],"given":[209,238],"complexity":[211],"(the":[213],"number":[214],"coefficients).":[219],"two-stage":[221],"utilizes":[224],"criterion.":[232],"Design":[233],"examples":[234],"comparisons":[236],"demonstrate":[240],"WLS":[245],"yields":[247],"low-complexity":[248],"filters":[251],"with":[252],"high-accuracy":[254],"noticeably":[259],"degrading":[260],"response.":[263]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":7}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}
