{"id":"https://openalex.org/W2906466418","doi":"https://doi.org/10.1109/msp.2018.2875977","title":"Efficient Floating-Point Division for Digital Signal Processing Application [Tips & Tricks]","display_name":"Efficient Floating-Point Division for Digital Signal Processing Application [Tips & Tricks]","publication_year":2018,"publication_date":"2018-12-25","ids":{"openalex":"https://openalex.org/W2906466418","doi":"https://doi.org/10.1109/msp.2018.2875977","mag":"2906466418"},"language":"en","primary_location":{"id":"doi:10.1109/msp.2018.2875977","is_oa":false,"landing_page_url":"https://doi.org/10.1109/msp.2018.2875977","pdf_url":null,"source":{"id":"https://openalex.org/S120977877","display_name":"IEEE Signal Processing Magazine","issn_l":"1053-5888","issn":["1053-5888","1558-0792"],"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 Signal Processing Magazine","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/A5081372393","display_name":"Leonid Moroz","orcid":"https://orcid.org/0000-0003-4131-309X"},"institutions":[{"id":"https://openalex.org/I98435010","display_name":"Lviv Polytechnic National University","ror":"https://ror.org/0542q3127","country_code":"UA","type":"education","lineage":["https://openalex.org/I98435010"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"Leonid Moroz","raw_affiliation_strings":["Department of Information Security, Institute of Computer Technologies, Automation and Metrology, Lviv Polytechnic National University, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Security, Institute of Computer Technologies, Automation and Metrology, Lviv Polytechnic National University, Ukraine","institution_ids":["https://openalex.org/I98435010"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068010877","display_name":"Volodymyr Samotyy","orcid":"https://orcid.org/0000-0003-2344-2576"},"institutions":[{"id":"https://openalex.org/I4210160829","display_name":"Lviv State University of Life Safety","ror":"https://ror.org/057g9bh47","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210160829"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Volodymyr Samotyy","raw_affiliation_strings":["Department of Information Security Management, Lviv State University of Life Safety, Ukraine"],"raw_orcid":"https://orcid.org/0000-0003-2344-2576","affiliations":[{"raw_affiliation_string":"Department of Information Security Management, Lviv State University of Life Safety, Ukraine","institution_ids":["https://openalex.org/I4210160829"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081372393"],"corresponding_institution_ids":["https://openalex.org/I98435010"],"apc_list":null,"apc_paid":null,"fwci":1.0687,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.80659406,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"36","issue":"1","first_page":"159","last_page":"163"},"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":0.9980000257492065,"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":0.9977999925613403,"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/division","display_name":"Division (mathematics)","score":0.8556439876556396},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.7483700513839722},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.7264174222946167},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6747570037841797},{"id":"https://openalex.org/keywords/division-algorithm","display_name":"Division algorithm","score":0.6371933221817017},{"id":"https://openalex.org/keywords/reciprocal","display_name":"Reciprocal","score":0.6165320873260498},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.568867027759552},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.52137690782547},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.503429114818573},{"id":"https://openalex.org/keywords/digital-signal-processor","display_name":"Digital signal processor","score":0.4687369465827942},{"id":"https://openalex.org/keywords/digital-signal","display_name":"Digital signal","score":0.4431193470954895},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.41855186223983765},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.406478613615036},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3447956442832947},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17660778760910034}],"concepts":[{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.8556439876556396},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.7483700513839722},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.7264174222946167},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6747570037841797},{"id":"https://openalex.org/C190715199","wikidata":"https://www.wikidata.org/wiki/Q3526714","display_name":"Division algorithm","level":3,"score":0.6371933221817017},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.6165320873260498},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.568867027759552},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.52137690782547},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.503429114818573},{"id":"https://openalex.org/C161611012","wikidata":"https://www.wikidata.org/wiki/Q106370","display_name":"Digital signal processor","level":3,"score":0.4687369465827942},{"id":"https://openalex.org/C52773712","wikidata":"https://www.wikidata.org/wiki/Q175022","display_name":"Digital signal","level":3,"score":0.4431193470954895},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.41855186223983765},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.406478613615036},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3447956442832947},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17660778760910034},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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":1,"locations":[{"id":"doi:10.1109/msp.2018.2875977","is_oa":false,"landing_page_url":"https://doi.org/10.1109/msp.2018.2875977","pdf_url":null,"source":{"id":"https://openalex.org/S120977877","display_name":"IEEE Signal Processing Magazine","issn_l":"1053-5888","issn":["1053-5888","1558-0792"],"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 Signal Processing Magazine","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":7,"referenced_works":["https://openalex.org/W2005021404","https://openalex.org/W2020691387","https://openalex.org/W2075341060","https://openalex.org/W2185141937","https://openalex.org/W2293170622","https://openalex.org/W2543356883","https://openalex.org/W6696628536"],"related_works":["https://openalex.org/W1982528625","https://openalex.org/W2088550007","https://openalex.org/W1556297113","https://openalex.org/W2365931855","https://openalex.org/W2113248871","https://openalex.org/W2244686501","https://openalex.org/W2322214226","https://openalex.org/W1495488519","https://openalex.org/W2067631125","https://openalex.org/W3143121479"],"abstract_inverted_index":{"Floating-point":[0],"division":[1,17,70,86],"is":[2,19],"an":[3],"expensive":[4],"operation":[5,18,87],"for":[6,34,39,97],"processors":[7],"in":[8],"digital":[9],"signal":[10],"processing":[11],"(DSP).":[12],"The":[13,42,62],"basis":[14],"of":[15,23,68,75,94],"the":[16,21,24,57,69,85,92],"finding":[20],"reciprocal":[22,29],"divisor.":[25],"We":[26],"present":[27],"a":[28,81],"algorithm":[30,43],"with":[31],"four":[32],"multiplications":[33],"single":[35],"accuracy":[36,72],"and":[37,52,56,73,90],"six":[38],"double":[40],"accuracy.":[41],"specifically":[44],"includes":[45],"bithack":[46],"(known":[47],"as":[48],"magic":[49],"constant)":[50],"operations":[51],"floating-point":[53],"addition,":[54],"multiplication,":[55],"fused":[58],"multiply-add":[59],"(fma)":[60],"operation.":[61],"proposed":[63],"approach":[64],"improves":[65],"two":[66],"characteristics":[67],"process:":[71],"number":[74],"steps.":[76],"This":[77],"second":[78],"characteristic":[79],"has":[80],"direct":[82],"impact":[83],"on":[84,91],"performance":[88],"time":[89],"amount":[93],"equipment":[95],"required":[96],"hardware":[98],"implementation.":[99]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}