{"id":"https://openalex.org/W2070161651","doi":"https://doi.org/10.1109/norchp.2012.6403102","title":"FPGA implementation of elementary generalized unitary rotation with CORDIC based architecture","display_name":"FPGA implementation of elementary generalized unitary rotation with CORDIC based architecture","publication_year":2012,"publication_date":"2012-11-01","ids":{"openalex":"https://openalex.org/W2070161651","doi":"https://doi.org/10.1109/norchp.2012.6403102","mag":"2070161651"},"language":"en","primary_location":{"id":"doi:10.1109/norchp.2012.6403102","is_oa":false,"landing_page_url":"https://doi.org/10.1109/norchp.2012.6403102","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"NORCHIP 2012","raw_type":"proceedings-article"},"type":"conference-paper","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/A5082037023","display_name":"P\u0113teris Mis\u0101ns","orcid":null},"institutions":[{"id":"https://openalex.org/I201787326","display_name":"Riga Technical University","ror":"https://ror.org/00twb6c09","country_code":"LV","type":"education","lineage":["https://openalex.org/I201787326"]}],"countries":["LV"],"is_corresponding":false,"raw_author_name":"P. Misans","raw_affiliation_strings":["Faculty of Electronics and Telecommunications, Riga Technical University, Riga, Latvia","Faculty of Electronics and Telecommunications, Riga Technical University, Latvia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electronics and Telecommunications, Riga Technical University, Riga, Latvia","institution_ids":["https://openalex.org/I201787326"]},{"raw_affiliation_string":"Faculty of Electronics and Telecommunications, Riga Technical University, Latvia","institution_ids":["https://openalex.org/I201787326"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085883026","display_name":"Uldis Derums","orcid":null},"institutions":[{"id":"https://openalex.org/I201787326","display_name":"Riga Technical University","ror":"https://ror.org/00twb6c09","country_code":"LV","type":"education","lineage":["https://openalex.org/I201787326"]}],"countries":["LV"],"is_corresponding":false,"raw_author_name":"U. Derums","raw_affiliation_strings":["Faculty of Electronics and Telecommunications, Riga Technical University, Riga, Latvia","Faculty of Electronics and Telecommunications, Riga Technical University, Latvia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electronics and Telecommunications, Riga Technical University, Riga, Latvia","institution_ids":["https://openalex.org/I201787326"]},{"raw_affiliation_string":"Faculty of Electronics and Telecommunications, Riga Technical University, Latvia","institution_ids":["https://openalex.org/I201787326"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5097483414","display_name":"V. Kanders","orcid":null},"institutions":[{"id":"https://openalex.org/I201787326","display_name":"Riga Technical University","ror":"https://ror.org/00twb6c09","country_code":"LV","type":"education","lineage":["https://openalex.org/I201787326"]}],"countries":["LV"],"is_corresponding":false,"raw_author_name":"V. Kanders","raw_affiliation_strings":["Faculty of Electronics and Telecommunications, Riga Technical University, Riga, Latvia","Faculty of Electronics and Telecommunications, Riga Technical University, Latvia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electronics and Telecommunications, Riga Technical University, Riga, Latvia","institution_ids":["https://openalex.org/I201787326"]},{"raw_affiliation_string":"Faculty of Electronics and Telecommunications, Riga Technical University, Latvia","institution_ids":["https://openalex.org/I201787326"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I201787326"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":null,"first_page":"1","last_page":"6"},"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":0.9889000058174133,"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/T11417","display_name":"Advancements in PLL and VCO Technologies","score":0.9840999841690063,"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/cordic","display_name":"CORDIC","score":0.9337270259857178},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.7583746910095215},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.6080271005630493},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.5711178183555603},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5634708404541016},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5249295830726624},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5224819779396057},{"id":"https://openalex.org/keywords/unitary-matrix","display_name":"Unitary matrix","score":0.4952310621738434},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4517173767089844},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4237283766269684},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.4154576063156128},{"id":"https://openalex.org/keywords/architecture","display_name":"Architecture","score":0.41124042868614197},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37275534868240356},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3373992443084717},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3359622359275818},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23106881976127625},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.20825329422950745},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17048019170761108},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14298412203788757}],"concepts":[{"id":"https://openalex.org/C58870171","wikidata":"https://www.wikidata.org/wiki/Q116076","display_name":"CORDIC","level":3,"score":0.9337270259857178},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.7583746910095215},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.6080271005630493},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.5711178183555603},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5634708404541016},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5249295830726624},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5224819779396057},{"id":"https://openalex.org/C96214315","wikidata":"https://www.wikidata.org/wiki/Q727103","display_name":"Unitary matrix","level":3,"score":0.4952310621738434},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4517173767089844},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4237283766269684},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.4154576063156128},{"id":"https://openalex.org/C123657996","wikidata":"https://www.wikidata.org/wiki/Q12271","display_name":"Architecture","level":2,"score":0.41124042868614197},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37275534868240356},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3373992443084717},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3359622359275818},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23106881976127625},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.20825329422950745},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17048019170761108},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14298412203788757},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/norchp.2012.6403102","is_oa":false,"landing_page_url":"https://doi.org/10.1109/norchp.2012.6403102","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"NORCHIP 2012","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":8,"referenced_works":["https://openalex.org/W2044829853","https://openalex.org/W2073695648","https://openalex.org/W2102013235","https://openalex.org/W2117391305","https://openalex.org/W2157490039","https://openalex.org/W2167105341","https://openalex.org/W2435118373","https://openalex.org/W6717817658"],"related_works":["https://openalex.org/W1999313313","https://openalex.org/W2111789608","https://openalex.org/W2499716529","https://openalex.org/W1568150511","https://openalex.org/W2963658971","https://openalex.org/W2386636239","https://openalex.org/W2059686565","https://openalex.org/W4293832529","https://openalex.org/W2018613836","https://openalex.org/W1981937001"],"abstract_inverted_index":{"This":[0],"paper":[1],"describes":[2],"the":[3,26,41,56,64,103,113],"first":[4],"trial":[5],"of":[6,8,40,51,66,75,82,89,102,107,115],"implementation":[7,74],"generalized":[9,42],"unitary":[10],"Jacobi-like":[11],"rotation":[12,43],"(the":[13],"device":[14,108,136],"is":[15,78,84,91,120],"called":[16],"EGU-rotator,":[17],"further":[18],"referred":[19],"to":[20,60,99],"as":[21],"rotator)":[22],"purely":[23],"based":[24],"on":[25,63],"CORDIC":[27,116,141],"algorithm":[28,72],"into":[29],"Altera's":[30],"and":[31,36,96,118,130],"Xilinx":[32],"FPGAs.":[33],"The":[34,49,87,105,122],"basics":[35],"examples":[37],"for":[38,73,110],"factorization":[39],"matrix":[44,52],"(further,":[45],"matrix)":[46],"are":[47],"given.":[48,121],"number":[50,114],"shapes":[53,101],"alternates":[54],"in":[55],"range":[57,65],"from":[58],"4":[59],"64":[61],"depending":[62],"used":[67],"angles":[68],"(parameters).":[69],"A":[70],"unified":[71],"parametrical":[76],"rotator":[77,83,124],"provided.":[79],"Reconfigurable":[80],"architecture":[81,90],"briefly":[85],"described.":[86],"choice":[88],"determined":[92],"by":[93],"3":[94,127],"addresses":[95],"they":[97],"correspond":[98],"different":[100,111],"matrix.":[104],"comparison":[106],"resources":[109,137],"wordlengths,":[112],"iterations":[117],"platforms":[119],"complex":[123],"works":[125],"approximately":[126,132],"times":[128,134],"slower":[129],"consumes":[131],"5":[133],"more":[135],"than":[138],"a":[139],"single":[140],"rotator.":[142]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}