{"id":"https://openalex.org/W1971988695","doi":"https://doi.org/10.1145/1117201.1117213","title":"An iterative division algorithm for FPGAs","display_name":"An iterative division algorithm for FPGAs","publication_year":2006,"publication_date":"2006-02-22","ids":{"openalex":"https://openalex.org/W1971988695","doi":"https://doi.org/10.1145/1117201.1117213","mag":"1971988695"},"language":"en","primary_location":{"id":"doi:10.1145/1117201.1117213","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1117201.1117213","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2006 ACM/SIGDA 14th international symposium on Field programmable gate arrays","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/A5100405325","display_name":"Jianhua Liu","orcid":"https://orcid.org/0000-0002-4195-5212"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jianhua Liu","raw_affiliation_strings":["University of California, San Diego, CA"],"affiliations":[{"raw_affiliation_string":"University of California, San Diego, CA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109087878","display_name":"Michael Chang","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Chang","raw_affiliation_strings":["University of California, San Diego, CA"],"affiliations":[{"raw_affiliation_string":"University of California, San Diego, CA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039615312","display_name":"Chung\u2010Kuan Cheng","orcid":"https://orcid.org/0000-0002-9865-8390"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chung-Kuan Cheng","raw_affiliation_strings":["University of California, San Diego, CA"],"affiliations":[{"raw_affiliation_string":"University of California, San Diego, CA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100405325"],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":1.3081,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.79021694,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"83","last_page":"89"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":1.0,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.998199999332428,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.7532585859298706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7340763807296753},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.7263942956924438},{"id":"https://openalex.org/keywords/lookup-table","display_name":"Lookup table","score":0.6877197027206421},{"id":"https://openalex.org/keywords/division-algorithm","display_name":"Division algorithm","score":0.6773512363433838},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5985012650489807},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.42622458934783936},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.26155224442481995},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.21707630157470703},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1354254186153412}],"concepts":[{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.7532585859298706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7340763807296753},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.7263942956924438},{"id":"https://openalex.org/C134835016","wikidata":"https://www.wikidata.org/wiki/Q690265","display_name":"Lookup table","level":2,"score":0.6877197027206421},{"id":"https://openalex.org/C190715199","wikidata":"https://www.wikidata.org/wiki/Q3526714","display_name":"Division algorithm","level":3,"score":0.6773512363433838},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5985012650489807},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.42622458934783936},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.26155224442481995},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.21707630157470703},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1354254186153412},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1117201.1117213","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1117201.1117213","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2006 ACM/SIGDA 14th international symposium on Field programmable gate arrays","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8700000047683716,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1499900145","https://openalex.org/W1554747120","https://openalex.org/W1589283882","https://openalex.org/W1895318900","https://openalex.org/W2009321096","https://openalex.org/W2023462640","https://openalex.org/W2099662985","https://openalex.org/W2105011602","https://openalex.org/W2111492309","https://openalex.org/W2119393332","https://openalex.org/W2157016937"],"related_works":["https://openalex.org/W2155289750","https://openalex.org/W2024574431","https://openalex.org/W2117300767","https://openalex.org/W2374017528","https://openalex.org/W4285503609","https://openalex.org/W2126248441","https://openalex.org/W2388178587","https://openalex.org/W2162724120","https://openalex.org/W1618607655","https://openalex.org/W2094996819"],"abstract_inverted_index":{"Division":[0],"is":[1,59,73],"one":[2],"of":[3],"the":[4,20,30,64,83,94],"most":[5],"complicated":[6],"and":[7,14,44,61,80,104],"expensive":[8],"arithmetic":[9],"operations.":[10],"Both":[11],"clock":[12,99],"frequency":[13],"operation":[15],"delay":[16],"are":[17],"limited":[18],"by":[19,88],"memory":[21,31],"wall,":[22],"even":[23],"in":[24,75],"LUT-based":[25],"FPGA":[26,66,78],"devices.":[27],"To":[28],"conquer":[29],"limitation,":[32],"we":[33],"propose":[34],"a":[35],"hybrid":[36],"division":[37,55,84],"algorithm":[38,51,58,72,96],"which":[39],"employs":[40],"Prescaling,":[41],"Series":[42],"expansion":[43,46],"Taylor":[45],"(PST)":[47],"algorithms.":[48],"The":[49,57,71,90],"proposed":[50],"boosts":[52],"very-high":[53],"radix":[54],"efficiently.":[56],"multiplicative,":[60],"feasible":[62],"for":[63],"modern":[65],"devices":[67,79],"with":[68,82],"build-in":[69],"multipliers.":[70],"implemented":[74],"Altera":[76],"StratixII":[77],"compared":[81],"IP":[85],"core":[86],"generated":[87],"MegaWizard.":[89],"result":[91],"shows":[92],"that":[93],"PST":[95],"has":[97],"higher":[98],"frequency,":[100],"lower":[101,106],"execution":[102],"time":[103],"also":[105],"power":[107],"consumption.":[108]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
