{"id":"https://openalex.org/W2903610779","doi":"https://doi.org/10.1109/ngcas.2018.8572071","title":"A Fixed-Point Natural Logarithm Approximation Hardware Design Using Taylor Series","display_name":"A Fixed-Point Natural Logarithm Approximation Hardware Design Using Taylor Series","publication_year":2018,"publication_date":"2018-11-01","ids":{"openalex":"https://openalex.org/W2903610779","doi":"https://doi.org/10.1109/ngcas.2018.8572071","mag":"2903610779"},"language":"en","primary_location":{"id":"doi:10.1109/ngcas.2018.8572071","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ngcas.2018.8572071","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 New Generation of CAS (NGCAS)","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/A5046681034","display_name":"Miguel R. Weirich","orcid":null},"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":true,"raw_author_name":"Miguel R. Weirich","raw_affiliation_strings":["Graduate Program on Electronic Engineering and Computing, Catholic University of Pelotas (UCPel), Pelotas, Brazil"],"affiliations":[{"raw_affiliation_string":"Graduate Program on Electronic Engineering and Computing, Catholic University of Pelotas (UCPel), Pelotas, Brazil","institution_ids":["https://openalex.org/I110676245"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064318827","display_name":"Guilherme Paim","orcid":"https://orcid.org/0000-0001-7809-9563"},"institutions":[{"id":"https://openalex.org/I130442723","display_name":"Universidade Federal do Rio Grande do Sul","ror":"https://ror.org/041yk2d64","country_code":"BR","type":"education","lineage":["https://openalex.org/I130442723"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Guilherme Paim","raw_affiliation_strings":["Graduate Program on Microelectronics (PGMicro), Federal University of Rio Grande do Sul (UFRGS), Porto Alegre, Brazil"],"affiliations":[{"raw_affiliation_string":"Graduate Program on Microelectronics (PGMicro), Federal University of Rio Grande do Sul (UFRGS), Porto Alegre, Brazil","institution_ids":["https://openalex.org/I130442723"]}]},{"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 A. C. da Costa","raw_affiliation_strings":["Graduate Program on Electronic Engineering and Computing, Catholic University of Pelotas (UCPel), Pelotas, Brazil"],"affiliations":[{"raw_affiliation_string":"Graduate Program on Electronic Engineering and Computing, Catholic University of Pelotas (UCPel), Pelotas, Brazil","institution_ids":["https://openalex.org/I110676245"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046426137","display_name":"S\u00e9rgio Bampi","orcid":"https://orcid.org/0000-0002-9018-6309"},"institutions":[{"id":"https://openalex.org/I130442723","display_name":"Universidade Federal do Rio Grande do Sul","ror":"https://ror.org/041yk2d64","country_code":"BR","type":"education","lineage":["https://openalex.org/I130442723"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Sergio Bampi","raw_affiliation_strings":["Graduate Program on Microelectronics (PGMicro), Federal University of Rio Grande do Sul (UFRGS), Porto Alegre, Brazil"],"affiliations":[{"raw_affiliation_string":"Graduate Program on Microelectronics (PGMicro), Federal University of Rio Grande do Sul (UFRGS), Porto Alegre, Brazil","institution_ids":["https://openalex.org/I130442723"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5046681034"],"corresponding_institution_ids":["https://openalex.org/I110676245"],"apc_list":null,"apc_paid":null,"fwci":0.8425,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.77025783,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"53","last_page":"56"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9988999962806702,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9983000159263611,"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/logarithm","display_name":"Logarithm","score":0.7529764771461487},{"id":"https://openalex.org/keywords/natural-logarithm","display_name":"Natural logarithm","score":0.6411219835281372},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6388317346572876},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5972975492477417},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.5876635313034058},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5710292458534241},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4423506557941437},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3447176218032837},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.3230186104774475},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27533042430877686},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11748683452606201},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07076191902160645}],"concepts":[{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.7529764771461487},{"id":"https://openalex.org/C56017942","wikidata":"https://www.wikidata.org/wiki/Q204037","display_name":"Natural logarithm","level":3,"score":0.6411219835281372},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6388317346572876},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5972975492477417},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.5876635313034058},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5710292458534241},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4423506557941437},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3447176218032837},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.3230186104774475},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27533042430877686},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11748683452606201},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07076191902160645},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ngcas.2018.8572071","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ngcas.2018.8572071","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 New Generation of CAS (NGCAS)","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":10,"referenced_works":["https://openalex.org/W2043231961","https://openalex.org/W2105084502","https://openalex.org/W2162347877","https://openalex.org/W2165037082","https://openalex.org/W2166087899","https://openalex.org/W2192664890","https://openalex.org/W2728929161","https://openalex.org/W3144469223","https://openalex.org/W4210729048","https://openalex.org/W4233573136"],"related_works":["https://openalex.org/W2377895619","https://openalex.org/W4301659688","https://openalex.org/W1843626423","https://openalex.org/W2626074413","https://openalex.org/W2797418505","https://openalex.org/W156539976","https://openalex.org/W3122951318","https://openalex.org/W2386654567","https://openalex.org/W2885674363","https://openalex.org/W2952185452"],"abstract_inverted_index":{"The":[0,106],"logarithm":[1,30],"function":[2,31],"is":[3,39,113],"employed":[4],"in":[5,65,110,114],"several":[6],"areas":[7],"of":[8,69],"knowledge":[9],"because":[10],"its":[11],"curve":[12],"approximates":[13],"various":[14],"physical":[15],"and":[16,82,121],"chemical":[17],"phenomena.":[18],"In":[19],"this":[20,111],"work,":[21],"we":[22],"propose":[23],"an":[24,37,51],"operator":[25,38],"which":[26],"can":[27],"approximate":[28],"the":[29,33,60,66,70,77,94,102,122],"at":[32],"base":[34],"e.":[35],"Such":[36],"implemented":[40],"using":[41,75],"Taylor":[42,71],"Series":[43],"approximation":[44,95],"with":[45,117,128],"five":[46],"terms.":[47],"We":[48],"also":[49],"offer":[50],"algorithm":[52],"responsible":[53],"for":[54,101],"allowing":[55],"input":[56,104,107],"values":[57],"different":[58],"from":[59],"ones":[61],"that":[62,93],"are":[63],"included":[64],"convergence":[67],"region":[68],"Series.":[72],"Through":[73],"co-simulations":[74],"both":[76],"Matlab":[78],"<sup":[79,84],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[80,85],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u00ae</sup>":[81,86],"ModelSim":[83],"simulators,":[87],"it":[88],"was":[89],"possible":[90],"to":[91],"determine":[92],"error":[96],"remains":[97],"less":[98],"than":[99],"0.6%":[100],"entire":[103],"range.":[105],"range":[108],"used":[109],"paper":[112],"integer":[115],"format":[116],"a":[118],"one-byte":[119],"length,":[120],"system":[123],"output":[124],"has":[125],"19":[126],"bits":[127],"4.15":[129],"form.":[130]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":4}],"updated_date":"2026-03-01T06:05:34.837733","created_date":"2025-10-10T00:00:00"}