{"id":"https://openalex.org/W1567349586","doi":"https://doi.org/10.1109/icce-tw.2015.7216905","title":"Recursive relations among maximally flat fractional delay FIR filters","display_name":"Recursive relations among maximally flat fractional delay FIR filters","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1567349586","doi":"https://doi.org/10.1109/icce-tw.2015.7216905","mag":"1567349586"},"language":"en","primary_location":{"id":"doi:10.1109/icce-tw.2015.7216905","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icce-tw.2015.7216905","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Consumer Electronics - Taiwan","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/A5101399664","display_name":"Peng\u2010Hua Wang","orcid":"https://orcid.org/0000-0001-7031-5866"},"institutions":[{"id":"https://openalex.org/I41641357","display_name":"Ege University","ror":"https://ror.org/02eaafc18","country_code":"TR","type":"education","lineage":["https://openalex.org/I41641357"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Peng-Hua Wang","raw_affiliation_strings":["Department of Electrical-Electronics Engineering, Ege University, Bornova, Izmir, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Electrical-Electronics Engineering, Ege University, Bornova, Izmir, Turkey","institution_ids":["https://openalex.org/I41641357"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101399664"],"corresponding_institution_ids":["https://openalex.org/I41641357"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03294076,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"51","issue":null,"first_page":"292","last_page":"293"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9995999932289124,"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":0.9995999932289124,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9905999898910522,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.8279512524604797},{"id":"https://openalex.org/keywords/finite-impulse-response","display_name":"Finite impulse response","score":0.7509641051292419},{"id":"https://openalex.org/keywords/impulse-response","display_name":"Impulse response","score":0.6059126853942871},{"id":"https://openalex.org/keywords/hypergeometric-function","display_name":"Hypergeometric function","score":0.5698192119598389},{"id":"https://openalex.org/keywords/infinite-impulse-response","display_name":"Infinite impulse response","score":0.5490706562995911},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5162948966026306},{"id":"https://openalex.org/keywords/recurrence-relation","display_name":"Recurrence relation","score":0.49117347598075867},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4727272093296051},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.46034055948257446},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.4589328467845917},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4255865812301636},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.418425589799881},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40362173318862915},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3780132532119751},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.29698967933654785},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.252167284488678},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.22848904132843018}],"concepts":[{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.8279512524604797},{"id":"https://openalex.org/C198386975","wikidata":"https://www.wikidata.org/wiki/Q117785","display_name":"Finite impulse response","level":2,"score":0.7509641051292419},{"id":"https://openalex.org/C72279823","wikidata":"https://www.wikidata.org/wiki/Q1139726","display_name":"Impulse response","level":2,"score":0.6059126853942871},{"id":"https://openalex.org/C197320386","wikidata":"https://www.wikidata.org/wiki/Q21028472","display_name":"Hypergeometric function","level":2,"score":0.5698192119598389},{"id":"https://openalex.org/C183816354","wikidata":"https://www.wikidata.org/wiki/Q665617","display_name":"Infinite impulse response","level":4,"score":0.5490706562995911},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5162948966026306},{"id":"https://openalex.org/C201292218","wikidata":"https://www.wikidata.org/wiki/Q740970","display_name":"Recurrence relation","level":2,"score":0.49117347598075867},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4727272093296051},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.46034055948257446},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.4589328467845917},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4255865812301636},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.418425589799881},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40362173318862915},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3780132532119751},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.29698967933654785},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.252167284488678},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.22848904132843018},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icce-tw.2015.7216905","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icce-tw.2015.7216905","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Consumer Electronics - Taiwan","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":10,"referenced_works":["https://openalex.org/W2058967685","https://openalex.org/W2086642057","https://openalex.org/W2119662598","https://openalex.org/W2124283738","https://openalex.org/W2147240800","https://openalex.org/W2155595938","https://openalex.org/W2161486443","https://openalex.org/W2797721514","https://openalex.org/W2986057930","https://openalex.org/W3109938142"],"related_works":["https://openalex.org/W4312785053","https://openalex.org/W2142009384","https://openalex.org/W3140661709","https://openalex.org/W2021631062","https://openalex.org/W3138047207","https://openalex.org/W2129450128","https://openalex.org/W2810377961","https://openalex.org/W3007580271","https://openalex.org/W2072565115","https://openalex.org/W2031892245"],"abstract_inverted_index":{"In":[0,58],"this":[1],"paper":[2],"we":[3,18,31,41,61],"provide":[4,42],"some":[5,63],"analytical":[6],"results":[7],"of":[8,25,36,55],"maximally":[9],"flat":[10],"fractional":[11],"delay":[12],"finite":[13],"impulse":[14],"response":[15],"filters.":[16],"First,":[17],"represent":[19],"their":[20],"transfer":[21,38,46],"functions":[22],"in":[23],"terms":[24],"the":[26,33,53,59],"Gauss":[27],"hypergeometric":[28],"function.":[29],"Secondly,":[30],"derive":[32],"generating":[34],"function":[35],"these":[37],"functions.":[39,47],"Finally,":[40],"recursive":[43,65],"relations":[44],"among":[45],"The":[48],"recursions":[49],"are":[50],"derived":[51],"from":[52],"method":[54],"undetermined":[56],"coefficients.":[57],"appendix,":[60],"list":[62],"three-term":[64],"relations.":[66]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}