{"id":"https://openalex.org/W4287734027","doi":"https://doi.org/10.1109/tcsi.2022.3167894","title":"An Energy-Efficient Approximate Divider Based on Logarithmic Conversion and Piecewise Constant Approximation","display_name":"An Energy-Efficient Approximate Divider Based on Logarithmic Conversion and Piecewise Constant Approximation","publication_year":2022,"publication_date":"2022-04-28","ids":{"openalex":"https://openalex.org/W4287734027","doi":"https://doi.org/10.1109/tcsi.2022.3167894"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2022.3167894","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2022.3167894","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers","raw_type":"journal-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/A5100458045","display_name":"Yong Wu","orcid":"https://orcid.org/0000-0003-2671-7969"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Wu","raw_affiliation_strings":["School of Integrated Circuits, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-2671-7969","affiliations":[{"raw_affiliation_string":"School of Integrated Circuits, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019717600","display_name":"Honglan Jiang","orcid":"https://orcid.org/0000-0003-3705-4240"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Honglan Jiang","raw_affiliation_strings":["Department of Micro-Nano Electronic, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-3705-4240","affiliations":[{"raw_affiliation_string":"Department of Micro-Nano Electronic, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102996742","display_name":"Zining Ma","orcid":"https://orcid.org/0009-0008-9448-7863"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zining Ma","raw_affiliation_strings":["School of Integrated Circuits, Tsinghua University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Integrated Circuits, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075989605","display_name":"Pengfei Gou","orcid":"https://orcid.org/0000-0002-9055-5290"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pengfei Gou","raw_affiliation_strings":["Hexin Technology Company Ltd., Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hexin Technology Company Ltd., Guangzhou, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055024009","display_name":"Yong Lu","orcid":"https://orcid.org/0000-0003-3882-5721"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yong Lu","raw_affiliation_strings":["Hexin Technology Company Ltd., Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-3882-5721","affiliations":[{"raw_affiliation_string":"Hexin Technology Company Ltd., Guangzhou, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005550142","display_name":"Jie Han","orcid":"https://orcid.org/0000-0002-8849-4994"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jie Han","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada"],"raw_orcid":"https://orcid.org/0000-0002-8849-4994","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054524841","display_name":"Shouyi Yin","orcid":"https://orcid.org/0000-0003-2309-572X"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shouyi Yin","raw_affiliation_strings":["School of Integrated Circuits, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-2309-572X","affiliations":[{"raw_affiliation_string":"School of Integrated Circuits, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036023084","display_name":"Shaojun Wei","orcid":"https://orcid.org/0000-0001-5117-7920"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaojun Wei","raw_affiliation_strings":["School of Integrated Circuits, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-5117-7920","affiliations":[{"raw_affiliation_string":"School of Integrated Circuits, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100358856","display_name":"Leibo Liu","orcid":"https://orcid.org/0000-0001-7548-4116"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Leibo Liu","raw_affiliation_strings":["School of Integrated Circuits, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-7548-4116","affiliations":[{"raw_affiliation_string":"School of Integrated Circuits, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3252,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.79415724,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"69","issue":"7","first_page":"2655","last_page":"2668"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9993000030517578,"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/T10558","display_name":"Advancements in Semiconductor Devices and Circuit Design","score":0.9990000128746033,"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":0.587043821811676},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5267828106880188},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5262614488601685},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5063146352767944},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.46791818737983704},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.4431280493736267},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43705445528030396},{"id":"https://openalex.org/keywords/divisor","display_name":"Divisor (algebraic geometry)","score":0.4361411929130554},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.42241784930229187},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4172673225402832},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38849297165870667},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35675060749053955},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22055238485336304},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17402994632720947}],"concepts":[{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.587043821811676},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5267828106880188},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5262614488601685},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5063146352767944},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.46791818737983704},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4431280493736267},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43705445528030396},{"id":"https://openalex.org/C203492994","wikidata":"https://www.wikidata.org/wiki/Q909669","display_name":"Divisor (algebraic geometry)","level":2,"score":0.4361411929130554},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.42241784930229187},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4172673225402832},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38849297165870667},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35675060749053955},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22055238485336304},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17402994632720947},{"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:10.1109/tcsi.2022.3167894","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2022.3167894","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.9100000262260437}],"awards":[{"id":"https://openalex.org/G4969156712","display_name":null,"funder_award_id":"2018ZX01027101-002","funder_id":"https://openalex.org/F4320321540","funder_display_name":"Ministry of Science and Technology of the People's Republic of China"},{"id":"https://openalex.org/G5485835691","display_name":null,"funder_award_id":"62104127","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7358963331","display_name":null,"funder_award_id":"2018YFB2202101","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7442261201","display_name":null,"funder_award_id":"61834002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321540","display_name":"Ministry of Science and Technology of the People's Republic of China","ror":"https://ror.org/027s68j25"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1910331302","https://openalex.org/W1998305460","https://openalex.org/W2016400276","https://openalex.org/W2020217519","https://openalex.org/W2026005150","https://openalex.org/W2111013824","https://openalex.org/W2170140722","https://openalex.org/W2244005500","https://openalex.org/W2404585587","https://openalex.org/W2460228185","https://openalex.org/W2476008461","https://openalex.org/W2558721066","https://openalex.org/W2563860341","https://openalex.org/W2613107232","https://openalex.org/W2789518040","https://openalex.org/W2808327285","https://openalex.org/W2916566087","https://openalex.org/W2946695067","https://openalex.org/W2963649377","https://openalex.org/W3003708730","https://openalex.org/W3034039317","https://openalex.org/W3048414096","https://openalex.org/W3086584843","https://openalex.org/W3091160120","https://openalex.org/W3141007974","https://openalex.org/W3144137741","https://openalex.org/W3212935296","https://openalex.org/W6664541758","https://openalex.org/W6762238064","https://openalex.org/W6762508724"],"related_works":["https://openalex.org/W2806432856","https://openalex.org/W4297433722","https://openalex.org/W2074247864","https://openalex.org/W4287629074","https://openalex.org/W3095434007","https://openalex.org/W2053398899","https://openalex.org/W1973938972","https://openalex.org/W4383501682","https://openalex.org/W2091801412","https://openalex.org/W2083813704"],"abstract_inverted_index":{"Approximate":[0],"computing":[1,15,34],"(AC)":[2],"has":[3],"been":[4],"considered":[5],"as":[6,41,44],"a":[7,33,125,141,149,160,177],"promising":[8],"paradigm":[9],"to":[10,24,93,109,116,157,168,197],"improve":[11],"the":[12,25,30,72,75,111,118,121,144,169,173,201,206,226,232],"energy-efficiency":[13],"of":[14,32,120,179,211],"hardware":[16,129],"for":[17,74,133],"error-tolerant":[18],"applications,":[19],"with":[20,176,243],"negligible":[21],"quality":[22],"degradation":[23],"output.":[26],"Dividers":[27],"frequently":[28],"limit":[29],"performance":[31],"system;":[35],"however,":[36],"they":[37],"have":[38],"not":[39],"received":[40],"much":[42],"attention":[43],"multipliers":[45],"and":[46,55,65,79,137,216,238],"adders":[47],"in":[48,148,193,205,209,231],"AC.":[49],"In":[50,69],"this":[51,70],"paper,":[52],"an":[53],"energy-efficient":[54],"high-performance":[56],"approximate":[57,117,165,199],"divider":[58,146,175,228],"is":[59,82,106,131,204],"proposed":[60,145,174,202,227],"based":[61],"on":[62],"logarithmic":[63,80],"conversion":[64,76],"piecewise":[66],"constant":[67,114],"approximation.":[68],"design,":[71],"range":[73],"between":[77],"binary":[78],"numbers":[81],"first":[83],"expanded":[84],"from":[85,155],"<inline-formula":[86,94,184],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[87,95,185],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[88,96,186],"<tex-math":[89,97,187],"notation=\"LaTeX\">$\\mathbf":[90,98,188],"{[{0,1}]}$":[91],"</tex-math></inline-formula>":[92,100,191],"{[-0.5,1]}$":[99],".":[101],"A":[102],"heuristic":[103],"search":[104],"algorithm":[105],"then":[107],"devised":[108],"find":[110],"most":[112],"accurate":[113],"set":[115],"reciprocal":[119],"divisor,":[122],"by":[123],"minimizing":[124],"statistical":[126],"error.":[127],"The":[128,218],"implementation":[130],"presented":[132],"both":[134],"floating-point":[135],"(FP)":[136],"integer":[138],"dividers.":[139,166],"With":[140],"high":[142,161],"configurability,":[143],"results":[147,223],"mean":[150],"relative":[151],"error":[152],"distance":[153],"(MRED)":[154],"2.78%":[156],"0.046%,":[158],"indicating":[159],"accuracy":[162],"among":[163],"state-of-the-art":[164,198],"Compared":[167],"half-precision":[170],"FP":[171],"divider,":[172],"MRED":[178],"0.74%":[180],"can":[181,229],"achieve":[182],"nearly":[183],"{90\\times":[189],"}$":[190],"improvement":[192],"PDP.":[194],"Moreover,":[195],"compared":[196],"dividers,":[200],"design":[203],"Pareto":[207],"Frontier":[208],"terms":[210],"power":[212],"delay":[213],"product":[214],"(PDP)":[215],"MRED.":[217],"three":[219],"image":[220],"processing":[221],"application":[222],"demonstrate":[224],"that":[225],"result":[230],"highest":[233],"peak":[234],"signal-to-noise":[235],"ratio":[236],"(PSNR)":[237],"structural":[239],"similarity":[240],"(SSIM)":[241],"even":[242],"truncation.":[244]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}