{"id":"https://openalex.org/W4296453915","doi":"https://doi.org/10.1007/s00034-022-02169-2","title":"A Complex Exponential Structure for Low-Complexity Variable Fractional Delay FIR Filters","display_name":"A Complex Exponential Structure for Low-Complexity Variable Fractional Delay FIR Filters","publication_year":2022,"publication_date":"2022-09-20","ids":{"openalex":"https://openalex.org/W4296453915","doi":"https://doi.org/10.1007/s00034-022-02169-2"},"language":"en","primary_location":{"id":"doi:10.1007/s00034-022-02169-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00034-022-02169-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00034-022-02169-2.pdf","source":{"id":"https://openalex.org/S20109229","display_name":"Circuits Systems and Signal Processing","issn_l":"0278-081X","issn":["0278-081X","1531-5878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Circuits, Systems, and Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00034-022-02169-2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100648043","display_name":"Ruijie Zhao","orcid":"https://orcid.org/0000-0001-9108-3646"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruijie Zhao","raw_affiliation_strings":["School of Mechanical, Electrical and Information Engineering, Shandong University, Weihai, 264209, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical, Electrical and Information Engineering, Shandong University, Weihai, 264209, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074687233","display_name":"D.B.H. Tay","orcid":"https://orcid.org/0000-0001-5285-7426"},"institutions":[{"id":"https://openalex.org/I149704539","display_name":"Deakin University","ror":"https://ror.org/02czsnj07","country_code":"AU","type":"education","lineage":["https://openalex.org/I149704539"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"David B. Tay","raw_affiliation_strings":["School of Information Technology, Deakin University, Waurn Ponds, VIC, 3216, Australia"],"affiliations":[{"raw_affiliation_string":"School of Information Technology, Deakin University, Waurn Ponds, VIC, 3216, Australia","institution_ids":["https://openalex.org/I149704539"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074687233"],"corresponding_institution_ids":["https://openalex.org/I149704539"],"apc_list":null,"apc_paid":null,"fwci":1.3404,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.79994999,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"42","issue":"2","first_page":"1105","last_page":"1141"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9998999834060669,"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":0.9998999834060669,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.987500011920929,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11081","display_name":"Advanced Control Systems Design","score":0.9502999782562256,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/mathematics","display_name":"Mathematics","score":0.6553517580032349},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6143101453781128},{"id":"https://openalex.org/keywords/finite-impulse-response","display_name":"Finite impulse response","score":0.5456344485282898},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5414983630180359},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5271967053413391},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.5062147974967957},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.49478334188461304},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4770369231700897},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.46061253547668457},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.431535542011261},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3781313896179199},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23847153782844543},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10585230588912964}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6553517580032349},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6143101453781128},{"id":"https://openalex.org/C198386975","wikidata":"https://www.wikidata.org/wiki/Q117785","display_name":"Finite impulse response","level":2,"score":0.5456344485282898},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5414983630180359},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5271967053413391},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.5062147974967957},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.49478334188461304},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4770369231700897},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.46061253547668457},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.431535542011261},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3781313896179199},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23847153782844543},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10585230588912964},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00034-022-02169-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00034-022-02169-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00034-022-02169-2.pdf","source":{"id":"https://openalex.org/S20109229","display_name":"Circuits Systems and Signal Processing","issn_l":"0278-081X","issn":["0278-081X","1531-5878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Circuits, Systems, and Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:figshare.com:article/21406758","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/A_Complex_Exponential_Structure_for_Low-Complexity_Variable_Fractional_Delay_FIR_Filters/21406758","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1007/s00034-022-02169-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00034-022-02169-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00034-022-02169-2.pdf","source":{"id":"https://openalex.org/S20109229","display_name":"Circuits Systems and Signal Processing","issn_l":"0278-081X","issn":["0278-081X","1531-5878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Circuits, Systems, and Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5520548652","display_name":null,"funder_award_id":"ZR2020MF077","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G591479136","display_name":null,"funder_award_id":"ZR2020","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G770225305","display_name":null,"funder_award_id":"ZR2020MF077","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4296453915.pdf","grobid_xml":"https://content.openalex.org/works/W4296453915.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W1971070388","https://openalex.org/W1980485014","https://openalex.org/W1984760863","https://openalex.org/W1988754405","https://openalex.org/W2002353834","https://openalex.org/W2018894898","https://openalex.org/W2033524513","https://openalex.org/W2044829853","https://openalex.org/W2045523136","https://openalex.org/W2046356188","https://openalex.org/W2056064315","https://openalex.org/W2068332377","https://openalex.org/W2074615485","https://openalex.org/W2075605754","https://openalex.org/W2083364094","https://openalex.org/W2096172339","https://openalex.org/W2097722185","https://openalex.org/W2099404987","https://openalex.org/W2105313242","https://openalex.org/W2111151660","https://openalex.org/W2129622576","https://openalex.org/W2135992038","https://openalex.org/W2143407595","https://openalex.org/W2155595938","https://openalex.org/W2156539287","https://openalex.org/W2160615815","https://openalex.org/W2166063531","https://openalex.org/W2168423527","https://openalex.org/W2168735094","https://openalex.org/W2360467131","https://openalex.org/W2557479715","https://openalex.org/W2593401319","https://openalex.org/W2743412119","https://openalex.org/W2789753415","https://openalex.org/W2970494015","https://openalex.org/W3001096554","https://openalex.org/W3047261625","https://openalex.org/W3131543786","https://openalex.org/W4242565096","https://openalex.org/W6627850110","https://openalex.org/W6776882109"],"related_works":["https://openalex.org/W1902114972","https://openalex.org/W2810377961","https://openalex.org/W126808228","https://openalex.org/W1505918581","https://openalex.org/W2046083070","https://openalex.org/W2379702749","https://openalex.org/W1751484597","https://openalex.org/W2031512523","https://openalex.org/W4312130601","https://openalex.org/W4308935600"],"abstract_inverted_index":{"Abstract":[0],"Variable":[1],"fractional":[2,41,170],"delay":[3,42,171],"(VFD)":[4,43],"filters":[5,44,147,160,260],"generally":[6],"require":[7],"significantly":[8],"greater":[9],"computational":[10],"resources":[11],"for":[12,27,81,205,230],"implementation":[13,28,90,119,131],"than":[14],"static":[15],"filters.":[16,177,264],"The":[17,31,100,123,210],"motivation":[18],"of":[19,38,77,111,152,241],"this":[20,64,179],"work":[21],"is":[22,34,106,121,213,227,236],"therefore":[23],"to":[24,46,57,87,136,139,167,174],"develop":[25],"ways":[26],"complexity":[29,124,201],"reduction.":[30],"Farrow":[32],"structure":[33,50,91,120],"adopted":[35],"by":[36,239],"most":[37],"the":[39,58,69,75,128,140,149,158,168,175,192,198,206,224,242,246,258,262],"variable":[40],"due":[45],"their":[47],"effectiveness.":[48],"This":[49,83,235],"essentially":[51],"assumes":[52],"an":[53],"algebraic":[54,143],"polynomial":[55,70,144],"approximation":[56,165],"continuously":[59],"varying":[60],"impulse":[61],"response.":[62],"In":[63],"paper,":[65],"we":[66],"dispense":[67],"with":[68,92,148,261],"function":[71],"and":[72,96,108,130,154],"instead":[73],"propose":[74],"use":[76],"complex":[78,93,101],"exponential":[79,102],"functions":[80],"approximation.":[82],"new":[84],"approach":[85],"leads":[86],"a":[88,97,117,163,185,216,221,231],"Farrow-like":[89],"coefficient":[94],"subfilters":[95,153,187],"shape":[98,233,243],"parameter.":[99,234],"(CE)":[103],"VFD":[104,146],"filter":[105,155,193],"analyzed,":[107],"various":[109],"types":[110],"symmetry":[112],"properties":[113],"are":[114,188,195],"derived.":[115],"Accordingly,":[116],"simplified":[118],"obtained.":[122],"analysis":[125],"shows":[126],"that":[127,256],"design":[129,208,211,251],"complexities":[132],"can":[133,161,202],"be":[134,203,254],"reduced":[135],"something":[137],"comparable":[138],"classical":[141],"real":[142],"(AP)":[145],"same":[150,207],"number":[151],"order.":[156],"However,":[157],"CE":[159,259],"achieve":[162],"better":[164],"accuracy":[166],"desired":[169],"characteristics,":[172],"compared":[173],"AP":[176,263],"Moreover,":[178],"superiority":[180],"becomes":[181],"significant,":[182],"when":[183,191],"only":[184],"few":[186],"used,":[189],"or":[190],"orders":[194],"high.":[196],"Therefore,":[197],"reduction":[199],"in":[200],"achieved":[204],"specification.":[209],"algorithm":[212],"developed":[214],"using":[215,245],"weighted":[217],"least-squares":[218],"formulation.":[219],"Using":[220],"matrix-based":[222],"approach,":[223],"closed-form":[225],"solution":[226],"derived":[228],"firstly":[229],"fixed":[232],"then":[237],"followed":[238],"optimization":[240],"parameter":[244],"Golden":[247],"Cut":[248],"method.":[249],"Comprehensive":[250],"examples":[252],"will":[253],"presented":[255],"compare":[257]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}