{"id":"https://openalex.org/W2099198033","doi":"https://doi.org/10.1109/tcsi.2009.2033536","title":"Truncated Binary Multipliers With Variable Correction and Minimum Mean Square Error","display_name":"Truncated Binary Multipliers With Variable Correction and Minimum Mean Square Error","publication_year":2009,"publication_date":"2009-12-21","ids":{"openalex":"https://openalex.org/W2099198033","doi":"https://doi.org/10.1109/tcsi.2009.2033536","mag":"2099198033"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2009.2033536","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2009.2033536","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/A5040408894","display_name":"Nicola Petra","orcid":"https://orcid.org/0000-0001-7167-9530"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Nicola Petra","raw_affiliation_strings":["Department of Biomedical Electronic and Telecommunication Engineering, University of Napoli Federico II, Naples, Italy","Dept. of Electron. & Telecommun. Eng., Univ. of Napoli Federico II, Naples, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Biomedical Electronic and Telecommunication Engineering, University of Napoli Federico II, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Dept. of Electron. & Telecommun. Eng., Univ. of Napoli Federico II, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018481178","display_name":"Davide De","orcid":"https://orcid.org/0000-0003-0204-0949"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Davide De Caro","raw_affiliation_strings":["Department of Biomedical Electronic and Telecommunication Engineering, University of Napoli Federico II, Naples, Italy","Dept. of Electron. & Telecommun. Eng., Univ. of Napoli Federico II, Naples, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Biomedical Electronic and Telecommunication Engineering, University of Napoli Federico II, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Dept. of Electron. & Telecommun. Eng., Univ. of Napoli Federico II, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069369703","display_name":"Valeria Garofalo","orcid":null},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Valeria Garofalo","raw_affiliation_strings":["Department of Biomedical Electronic and Telecommunication Engineering, University of Napoli Federico II, Naples, Italy","Dept. of Electron. & Telecommun. Eng., Univ. of Napoli Federico II, Naples, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Biomedical Electronic and Telecommunication Engineering, University of Napoli Federico II, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Dept. of Electron. & Telecommun. Eng., Univ. of Napoli Federico II, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050933189","display_name":"Ettore Napoli","orcid":"https://orcid.org/0000-0002-6200-3990"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Ettore Napoli","raw_affiliation_strings":["Department of Biomedical Electronic and Telecommunication Engineering, University of Napoli Federico II, Naples, Italy","Dept. of Electron. & Telecommun. Eng., Univ. of Napoli Federico II, Naples, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Biomedical Electronic and Telecommunication Engineering, University of Napoli Federico II, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Dept. of Electron. & Telecommun. Eng., Univ. of Napoli Federico II, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058182656","display_name":"A.G.M. Strollo","orcid":"https://orcid.org/0000-0001-5737-1783"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Antonio G M Strollo","raw_affiliation_strings":["Department of Biomedical Electronic and Telecommunication Engineering, University of Napoli Federico II, Naples, Italy","Dept. of Electron. & Telecommun. Eng., Univ. of Napoli Federico II, Naples, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Biomedical Electronic and Telecommunication Engineering, University of Napoli Federico II, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Dept. of Electron. & Telecommun. Eng., Univ. of Napoli Federico II, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5040408894"],"corresponding_institution_ids":["https://openalex.org/I71267560"],"apc_list":null,"apc_paid":null,"fwci":7.1778,"has_fulltext":false,"cited_by_count":112,"citation_normalized_percentile":{"value":0.97428654,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"57","issue":"6","first_page":"1312","last_page":"1325"},"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/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/binary-number","display_name":"Binary number","score":0.6713918447494507},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.6384294033050537},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5814553499221802},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.5427787899971008},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5379275679588318},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5232740640640259},{"id":"https://openalex.org/keywords/compensation","display_name":"Compensation (psychology)","score":0.47774356603622437},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.465084969997406},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45894092321395874},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4397081136703491},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3804122805595398},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38008081912994385},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3665558695793152},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34074586629867554},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09535965323448181}],"concepts":[{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6713918447494507},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.6384294033050537},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5814553499221802},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.5427787899971008},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5379275679588318},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5232740640640259},{"id":"https://openalex.org/C2780023022","wikidata":"https://www.wikidata.org/wiki/Q1338171","display_name":"Compensation (psychology)","level":2,"score":0.47774356603622437},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.465084969997406},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45894092321395874},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4397081136703491},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3804122805595398},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38008081912994385},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3665558695793152},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34074586629867554},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09535965323448181},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C11171543","wikidata":"https://www.wikidata.org/wiki/Q41630","display_name":"Psychoanalysis","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsi.2009.2033536","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2009.2033536","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1528874917","https://openalex.org/W1584008964","https://openalex.org/W1653303420","https://openalex.org/W1910331302","https://openalex.org/W2000472729","https://openalex.org/W2039792413","https://openalex.org/W2040056309","https://openalex.org/W2048773562","https://openalex.org/W2062159487","https://openalex.org/W2073123623","https://openalex.org/W2122753177","https://openalex.org/W2128027813","https://openalex.org/W2135060305","https://openalex.org/W2138179663","https://openalex.org/W2140708000","https://openalex.org/W2141957537","https://openalex.org/W2154098113","https://openalex.org/W2154829858","https://openalex.org/W2158958240","https://openalex.org/W2161093394","https://openalex.org/W2164292738","https://openalex.org/W2168891461","https://openalex.org/W2544755232"],"related_works":["https://openalex.org/W38661524","https://openalex.org/W2100408123","https://openalex.org/W4381661963","https://openalex.org/W2338700700","https://openalex.org/W3204597924","https://openalex.org/W2963684113","https://openalex.org/W2964019025","https://openalex.org/W2140087070","https://openalex.org/W3102958135","https://openalex.org/W2911316623"],"abstract_inverted_index":{"<para":[0],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[1],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[2],"Truncated":[3],"multipliers":[4,84],"compute":[5],"the":[6,13,47,56,68],"<formula":[7,14],"formulatype=\"inline\"><tex":[8,15],"Notation=\"TeX\">$n$</tex></formula>":[9],"most-significant":[10],"bits":[11,20],"of":[12],"Notation=\"TeX\">$n":[16],"\\times":[17],"n$</tex>":[18],"</formula>":[19],"product.":[21],"This":[22],"paper":[23,64],"focuses":[24],"on":[25,87],"variable-correction":[26],"truncated":[27],"multipliers,":[28],"where":[29],"some":[30],"partial-products":[31],"are":[32],"discarded,":[33],"to":[34,44],"reduce":[35],"complexity,":[36],"and":[37],"a":[38],"suitable":[39],"compensation":[40,52,74],"function":[41,89],"is":[42,60,81,90],"added":[43],"partly":[45],"compensate":[46],"introduced":[48],"error.":[49],"The":[50],"optimal":[51,73],"function,":[53,75],"that":[54],"minimizes":[55],"mean":[57],"square":[58],"error,":[59],"obtained":[61],"in":[62,65],"this":[63],"closed-form":[66],"for":[67,78],"first":[69],"time.":[70],"A":[71],"sub":[72],"best":[76],"suited":[77],"hardware":[79],"implementation,":[80],"introduced.":[82],"Efficient":[83],"implementation":[85],"based":[86],"sub-optimal":[88],"discussed.":[91],"</para>":[92]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":14},{"year":2012,"cited_by_count":13}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
