{"id":"https://openalex.org/W2077783536","doi":"https://doi.org/10.1145/2429384.2429482","title":"Multiple tunable constant multiplications","display_name":"Multiple tunable constant multiplications","publication_year":2012,"publication_date":"2012-11-05","ids":{"openalex":"https://openalex.org/W2077783536","doi":"https://doi.org/10.1145/2429384.2429482","mag":"2077783536"},"language":"en","primary_location":{"id":"doi:10.1145/2429384.2429482","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2429384.2429482","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference on Computer-Aided Design","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/A5089933848","display_name":"Levent Aksoy","orcid":"https://orcid.org/0000-0001-6129-9657"},"institutions":[{"id":"https://openalex.org/I121345201","display_name":"Instituto de Engenharia de Sistemas e Computadores Investiga\u00e7\u00e3o e Desenvolvimento","ror":"https://ror.org/04mqy3p58","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I121345201","https://openalex.org/I4210125590"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Levent Aksoy","raw_affiliation_strings":["INESC-ID, Lisboa, Portugal","INESC-id, Lisboa, Portugal"],"affiliations":[{"raw_affiliation_string":"INESC-ID, Lisboa, Portugal","institution_ids":["https://openalex.org/I121345201"]},{"raw_affiliation_string":"INESC-id, Lisboa, Portugal","institution_ids":["https://openalex.org/I121345201"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074598853","display_name":"Eduardo Costa","orcid":"https://orcid.org/0009-0009-2731-8864"},"institutions":[{"id":"https://openalex.org/I110676245","display_name":"Universidade Cat\u00f3lica de Pelotas","ror":"https://ror.org/0376myh60","country_code":"BR","type":"education","lineage":["https://openalex.org/I110676245"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Eduardo Costa","raw_affiliation_strings":["Univ. Cat\u00f3lica de Pelotas, Pelotas, Brazil"],"affiliations":[{"raw_affiliation_string":"Univ. Cat\u00f3lica de Pelotas, Pelotas, Brazil","institution_ids":["https://openalex.org/I110676245"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002334825","display_name":"Paulo Flores","orcid":"https://orcid.org/0000-0003-2970-3589"},"institutions":[{"id":"https://openalex.org/I121345201","display_name":"Instituto de Engenharia de Sistemas e Computadores Investiga\u00e7\u00e3o e Desenvolvimento","ror":"https://ror.org/04mqy3p58","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I121345201","https://openalex.org/I4210125590"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Paulo Flores","raw_affiliation_strings":["INESC-ID/IST TU Lisbon, Lisboa, Portugal","INESC-ID / IST, TU Lisbon, Lisboa, Portugal"],"affiliations":[{"raw_affiliation_string":"INESC-ID/IST TU Lisbon, Lisboa, Portugal","institution_ids":["https://openalex.org/I121345201"]},{"raw_affiliation_string":"INESC-ID / IST, TU Lisbon, Lisboa, Portugal","institution_ids":["https://openalex.org/I121345201"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039448613","display_name":"Jos\u00e9 Monteiro","orcid":"https://orcid.org/0000-0003-0603-2268"},"institutions":[{"id":"https://openalex.org/I121345201","display_name":"Instituto de Engenharia de Sistemas e Computadores Investiga\u00e7\u00e3o e Desenvolvimento","ror":"https://ror.org/04mqy3p58","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I121345201","https://openalex.org/I4210125590"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Monteiro","raw_affiliation_strings":["INESC-ID/IST TU Lisbon, Lisboa, Portugal","INESC-ID / IST, TU Lisbon, Lisboa, Portugal"],"affiliations":[{"raw_affiliation_string":"INESC-ID/IST TU Lisbon, Lisboa, Portugal","institution_ids":["https://openalex.org/I121345201"]},{"raw_affiliation_string":"INESC-ID / IST, TU Lisbon, Lisboa, Portugal","institution_ids":["https://openalex.org/I121345201"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5089933848"],"corresponding_institution_ids":["https://openalex.org/I121345201"],"apc_list":null,"apc_paid":null,"fwci":0.7345,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74190023,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"473","last_page":"479"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":1.0,"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":1.0,"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":0.9987999796867371,"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/T11417","display_name":"Advancements in PLL and VCO Technologies","score":0.9894000291824341,"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/finite-impulse-response","display_name":"Finite impulse response","score":0.6449467539787292},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6277526617050171},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49609383940696716},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4273563623428345},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41955041885375977},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40079447627067566},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3979359269142151}],"concepts":[{"id":"https://openalex.org/C198386975","wikidata":"https://www.wikidata.org/wiki/Q117785","display_name":"Finite impulse response","level":2,"score":0.6449467539787292},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6277526617050171},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49609383940696716},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4273563623428345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41955041885375977},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40079447627067566},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3979359269142151},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2429384.2429482","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2429384.2429482","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference on Computer-Aided Design","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7607603659","display_name":null,"funder_award_id":"PTDC/EIA-EIA/103532/2008","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1945880610","https://openalex.org/W2001254103","https://openalex.org/W2010759456","https://openalex.org/W2073042480","https://openalex.org/W2073419265","https://openalex.org/W2077881312","https://openalex.org/W2099181277","https://openalex.org/W2103244632","https://openalex.org/W2127856935","https://openalex.org/W2154656381","https://openalex.org/W2156990588","https://openalex.org/W2163548393","https://openalex.org/W2165837912","https://openalex.org/W2165858176","https://openalex.org/W2916844179","https://openalex.org/W6759416110"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W3093936885","https://openalex.org/W2994146737","https://openalex.org/W295308437","https://openalex.org/W2992046671","https://openalex.org/W2106539092","https://openalex.org/W4205300683","https://openalex.org/W56570565","https://openalex.org/W334259611"],"abstract_inverted_index":{"The":[0],"multiple":[1,24,63],"constant":[2,65,71],"multiplications":[3,66],"(MCM)":[4],"problem,":[5,61,68,79],"that":[6,95,127,136],"is":[7,47,72],"defined":[8,111],"as":[9,75,100],"finding":[10],"the":[11,21,32,38,59,77,97,124,167,170,180],"minimum":[12],"number":[13,114],"of":[14,23,34,40,58,87,160,169],"addition":[15],"and":[16,154],"subtraction":[17],"operations":[18],"required":[19],"for":[20,123,179],"multiplication":[22],"constants":[25,109],"by":[26,49],"an":[27,50,92,129],"input":[28],"variable,":[29],"has":[30],"been":[31],"subject":[33],"great":[35],"interest":[36],"since":[37],"complexity":[39],"many":[41],"digital":[42],"signal":[43],"processing":[44],"(DSP)":[45],"systems":[46],"dominated":[48],"MCM":[51,60,78,131,181],"operation.":[52],"This":[53],"paper":[54],"introduces":[55],"a":[56,85,101,113,119],"variant":[57],"called":[62],"tunable":[64],"(MTCM)":[67],"where":[69],"each":[70],"not":[73],"fixed":[74],"in":[76,147],"but":[80],"can":[81,139],"be":[82,140],"selected":[83],"from":[84],"set":[86],"possible":[88],"constants.":[89],"We":[90,116],"present":[91],"exact":[93],"algorithm":[94],"formalizes":[96],"MTCM":[98,125],"problem":[99,107,126],"0--1":[102],"integer":[103],"linear":[104],"programming":[105],"(ILP)":[106],"when":[108,173],"are":[110],"under":[112],"representation.":[115],"also":[117],"introduce":[118],"local":[120],"search":[121],"method":[122],"includes":[128],"efficient":[130],"algorithm.":[132],"Furthermore,":[133],"we":[134,155],"show":[135,166],"these":[137,161],"techniques":[138],"used":[141],"to":[142,158,175],"solve":[143],"various":[144],"optimization":[145],"problems":[146],"finite":[148],"impulse":[149],"response":[150],"(FIR)":[151],"filter":[152],"design":[153],"apply":[156],"them":[157],"one":[159],"problems.":[162],"Experimental":[163],"results":[164],"clearly":[165],"efficiency":[168],"proposed":[171],"methods":[172],"compared":[174],"prominent":[176],"algorithms":[177],"designed":[178],"problem.":[182]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}