{"id":"https://openalex.org/W1730041218","doi":"https://doi.org/10.1109/iscas.2006.1693134","title":"Formulas to Generate Efficient Piecewise-Polynomial Implementations of Narrowband Linear-Phase FIR Filters","display_name":"Formulas to Generate Efficient Piecewise-Polynomial Implementations of Narrowband Linear-Phase FIR Filters","publication_year":2006,"publication_date":"2006-09-22","ids":{"openalex":"https://openalex.org/W1730041218","doi":"https://doi.org/10.1109/iscas.2006.1693134","mag":"1730041218"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2006.1693134","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2006.1693134","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Symposium on Circuits and Systems","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/A5110185606","display_name":"Raija Lehto","orcid":null},"institutions":[{"id":"https://openalex.org/I4210133110","display_name":"Tampere University","ror":null,"country_code":"FI","type":null,"lineage":["https://openalex.org/I4210133110"]},{"id":"https://openalex.org/I150589677","display_name":"Tampere University of Applied Sciences","ror":"https://ror.org/00bwtjf83","country_code":"FI","type":"education","lineage":["https://openalex.org/I150589677"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"R. Lehto","raw_affiliation_strings":["Institute of Signal Processing, Tampere University of Technology, Tampere, Finland","Inst. of Signal Process., Tampere Univ. of Technol.#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Signal Processing, Tampere University of Technology, Tampere, Finland","institution_ids":["https://openalex.org/I4210133110"]},{"raw_affiliation_string":"Inst. of Signal Process., Tampere Univ. of Technol.#TAB#","institution_ids":["https://openalex.org/I150589677"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006752877","display_name":"T. Saram\u00e4ki","orcid":null},"institutions":[{"id":"https://openalex.org/I150589677","display_name":"Tampere University of Applied Sciences","ror":"https://ror.org/00bwtjf83","country_code":"FI","type":"education","lineage":["https://openalex.org/I150589677"]},{"id":"https://openalex.org/I4210133110","display_name":"Tampere University","ror":null,"country_code":"FI","type":null,"lineage":["https://openalex.org/I4210133110"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"T. Saramaki","raw_affiliation_strings":["Institute of Signal Processing, Tampere University of Technology, Tampere, Finland","Inst. of Signal Process., Tampere Univ. of Technol.#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Signal Processing, Tampere University of Technology, Tampere, Finland","institution_ids":["https://openalex.org/I4210133110"]},{"raw_affiliation_string":"Inst. of Signal Process., Tampere Univ. of Technol.#TAB#","institution_ids":["https://openalex.org/I150589677"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056224361","display_name":"Olli Vainio","orcid":null},"institutions":[{"id":"https://openalex.org/I4210133110","display_name":"Tampere University","ror":null,"country_code":"FI","type":null,"lineage":["https://openalex.org/I4210133110"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"O. Vainio","raw_affiliation_strings":["Institute of Digital and Computer Systems, Tampere University of Technology, Tampere, Finland"],"affiliations":[{"raw_affiliation_string":"Institute of Digital and Computer Systems, Tampere University of Technology, Tampere, Finland","institution_ids":["https://openalex.org/I4210133110"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110185606"],"corresponding_institution_ids":["https://openalex.org/I150589677","https://openalex.org/I4210133110"],"apc_list":null,"apc_paid":null,"fwci":0.318,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.52617821,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2513","last_page":"2516"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9998000264167786,"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":0.9998000264167786,"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":0.991100013256073,"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/T12024","display_name":"Ultra-Wideband Communications Technology","score":0.9793999791145325,"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/piecewise","display_name":"Piecewise","score":0.5210925340652466},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5012786388397217},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4760015904903412},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4690209925174713},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3682359755039215},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.335519015789032},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1147623360157013}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5210925340652466},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5012786388397217},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4760015904903412},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4690209925174713},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3682359755039215},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.335519015789032},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1147623360157013}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2006.1693134","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2006.1693134","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Symposium on Circuits and Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1509501120","https://openalex.org/W1865234588","https://openalex.org/W2092651031","https://openalex.org/W2105504154","https://openalex.org/W2911858876"],"related_works":["https://openalex.org/W2383844134","https://openalex.org/W3093305317","https://openalex.org/W2374198922","https://openalex.org/W2889599571","https://openalex.org/W1833822726","https://openalex.org/W2798137860","https://openalex.org/W2065958989","https://openalex.org/W1998603635","https://openalex.org/W2363810458","https://openalex.org/W4283322381"],"abstract_inverted_index":{"Two":[0],"computationally":[1],"efficient":[2],"structures":[3,29,74,97],"to":[4,87],"design":[5],"and":[6,23],"implement":[7],"linear-phase":[8],"narrowband":[9],"FIR":[10],"filters":[11],"with":[12],"a":[13,39,43],"symmetrical":[14],"piecewise-polynomial":[15],"impulse":[16],"response":[17],"have":[18,75],"been":[19,76],"proposed":[20],"by":[21],"Saramaki":[22],"Mitra.":[24],"The":[25],"efficiency":[26],"of":[27,42,46],"these":[28],"is":[30],"based":[31],"on":[32],"implementing":[33],"the":[34,47],"overall":[35],"transfer":[36],"function":[37],"as":[38],"parallel":[40],"connection":[41],"few":[44],"branches":[45],"form":[48],"G":[49],"<sub":[50,58,65,91],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[51,55,59,66,92],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">l</sub>":[52,60,67,93],"(z":[53],"<sup":[54],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">L</sup>":[56],")F":[57],"(z),":[61],"where":[62],"each":[63],"F":[64,90],"(z)":[68],"requires":[69],"no":[70],"real":[71],"multipliers.":[72],"These":[73],"generated":[77],"in":[78],"an":[79],"ad-hoc":[80],"manner.":[81],"This":[82],"paper":[83],"introduces":[84],"straightforward":[85],"approaches":[86],"generate":[88],"such":[89],"(z)s":[94],"for":[95],"both":[96]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}