{"id":"https://openalex.org/W2096285199","doi":"https://doi.org/10.1109/asap.2007.4429966","title":"LNS Subtraction Using Novel Cotransformation and/or Interpolation","display_name":"LNS Subtraction Using Novel Cotransformation and/or Interpolation","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2096285199","doi":"https://doi.org/10.1109/asap.2007.4429966","mag":"2096285199"},"language":"en","primary_location":{"id":"doi:10.1109/asap.2007.4429966","is_oa":false,"landing_page_url":"https://doi.org/10.1109/asap.2007.4429966","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Conf. on Application-specific Systems, Architectures and Processors (ASAP)","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/A5044424866","display_name":"Panagiotis D. Vouzis","orcid":null},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Panagiotis Vouzis","raw_affiliation_strings":["Computer Engineering, Lehigh University, Bethlehem, PA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Engineering, Lehigh University, Bethlehem, PA","institution_ids":["https://openalex.org/I186143895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040945336","display_name":"Caroline Collange","orcid":null},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Caroline Collange","raw_affiliation_strings":["\u00c9cole Normale Sup\u00e9rieure de Lyon, 46 All\u00e9e d'Italie, 69364 Lyon Cedex 07, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Normale Sup\u00e9rieure de Lyon, 46 All\u00e9e d'Italie, 69364 Lyon Cedex 07, France","institution_ids":["https://openalex.org/I113428412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016062910","display_name":"Mark G. Arnold","orcid":"https://orcid.org/0000-0001-5175-2374"},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark Arnold","raw_affiliation_strings":["Computer Engineering, Lehigh University, Bethlehem, PA","Computer Engineering, Lehigh University, Bethlehem, PA, 18015, maab@lehigh.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Engineering, Lehigh University, Bethlehem, PA","institution_ids":["https://openalex.org/I186143895"]},{"raw_affiliation_string":"Computer Engineering, Lehigh University, Bethlehem, PA, 18015, maab@lehigh.edu","institution_ids":["https://openalex.org/I186143895"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2448,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.87989085,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"3","issue":null,"first_page":"107","last_page":"114"},"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9986000061035156,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8654890060424805},{"id":"https://openalex.org/keywords/operand","display_name":"Operand","score":0.7073349952697754},{"id":"https://openalex.org/keywords/guard","display_name":"Guard (computer science)","score":0.6367910504341125},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5711575150489807},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5120154023170471},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4766603112220764},{"id":"https://openalex.org/keywords/rounding","display_name":"Rounding","score":0.4716491103172302},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.45062002539634705},{"id":"https://openalex.org/keywords/subtraction","display_name":"Subtraction","score":0.434050589799881},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.39591124653816223},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3373231291770935},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.13877859711647034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.11993247270584106},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.11936038732528687},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.08151102066040039}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8654890060424805},{"id":"https://openalex.org/C55526617","wikidata":"https://www.wikidata.org/wiki/Q719375","display_name":"Operand","level":2,"score":0.7073349952697754},{"id":"https://openalex.org/C141141315","wikidata":"https://www.wikidata.org/wiki/Q2379942","display_name":"Guard (computer science)","level":2,"score":0.6367910504341125},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5711575150489807},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5120154023170471},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4766603112220764},{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.4716491103172302},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.45062002539634705},{"id":"https://openalex.org/C68060419","wikidata":"https://www.wikidata.org/wiki/Q40754","display_name":"Subtraction","level":2,"score":0.434050589799881},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.39591124653816223},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3373231291770935},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.13877859711647034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.11993247270584106},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.11936038732528687},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.08151102066040039},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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":2,"locations":[{"id":"doi:10.1109/asap.2007.4429966","is_oa":false,"landing_page_url":"https://doi.org/10.1109/asap.2007.4429966","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Conf. on Application-specific Systems, Architectures and Processors (ASAP)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.70.1641","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.70.1641","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cse.lehigh.edu/~caar/marnold/papers/ASAP2007.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W119249403","https://openalex.org/W642675871","https://openalex.org/W943204654","https://openalex.org/W1551882400","https://openalex.org/W1644459459","https://openalex.org/W1703323992","https://openalex.org/W1998747003","https://openalex.org/W2036397228","https://openalex.org/W2050396402","https://openalex.org/W2066846299","https://openalex.org/W2074104157","https://openalex.org/W2101721757","https://openalex.org/W2108703133","https://openalex.org/W2115461836","https://openalex.org/W2116911806","https://openalex.org/W2129914391","https://openalex.org/W2130382276","https://openalex.org/W2132543649","https://openalex.org/W2138705371","https://openalex.org/W2139535992","https://openalex.org/W2143812865","https://openalex.org/W2143943882","https://openalex.org/W2165875079","https://openalex.org/W2166215763","https://openalex.org/W2167721141","https://openalex.org/W2566496004","https://openalex.org/W3140678388","https://openalex.org/W6604915305","https://openalex.org/W6667155807"],"related_works":["https://openalex.org/W2624596114","https://openalex.org/W3140319661","https://openalex.org/W2942763435","https://openalex.org/W2544512391","https://openalex.org/W2476677144","https://openalex.org/W1516575133","https://openalex.org/W2089343558","https://openalex.org/W2167284563","https://openalex.org/W2186305054","https://openalex.org/W2015084332"],"abstract_inverted_index":{"The":[0,54],"Logarithmic":[1],"Number":[2],"System":[3],"(LNS)":[4],"makes":[5],"multiplication,":[6],"division":[7],"and":[8,45,82],"powering":[9],"easy,":[10],"but":[11],"subtraction":[12,22],"is":[13,38,41],"expensive.":[14],"Cotransformation":[15],"converts":[16],"the":[17,24,75],"difficult":[18],"operation":[19,26],"of":[20,27,36],"logarithmic":[21,28],"into":[23],"easier":[25],"addition.":[29],"In":[30],"this":[31],"paper,":[32],"a":[33,96],"new":[34,76],"variant":[35],"cotransformation":[37,52,77,88],"proposed,":[39],"which":[40],"simpler":[42],"to":[43,78],"design":[44],"more":[46,93],"economical":[47],"in":[48],"hardware":[49],"than":[50,62,95],"previous":[51],"methods.":[53],"novel":[55],"method":[56],"commutes":[57],"operands":[58],"differently":[59],"for":[60,63,102],"addition":[61],"subtraction.":[64],"Simulation":[65],"results":[66],"show":[67],"how":[68],"many":[69],"guard":[70,86],"bits":[71],"are":[72],"required":[73],"by":[74],"guarantee":[79],"faithful":[80],"rounding":[81],"that,":[83],"even":[84],"without":[85],"bits,":[87],"produces":[89],"an":[90],"LNS":[91,103],"unit":[92],"accurate":[94],"previously":[97],"published":[98],"Hardware-Description-Language":[99],"(HDL)":[100],"library":[101],"arithmetic":[104],"that":[105],"uses":[106],"only":[107],"multipartite":[108],"tables":[109],"or":[110],"2nd-order":[111],"interpolation.":[112]},"counts_by_year":[{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}