{"id":"https://openalex.org/W2051417340","doi":"https://doi.org/10.1109/sips.2007.4387586","title":"On the Fixed-Point Properties of Mixed-Scaling-Rotation Cordic Algorithm","display_name":"On the Fixed-Point Properties of Mixed-Scaling-Rotation Cordic Algorithm","publication_year":2007,"publication_date":"2007-10-01","ids":{"openalex":"https://openalex.org/W2051417340","doi":"https://doi.org/10.1109/sips.2007.4387586","mag":"2051417340"},"language":"en","primary_location":{"id":"doi:10.1109/sips.2007.4387586","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sips.2007.4387586","pdf_url":null,"source":{"id":"https://openalex.org/S4210209284","display_name":"SiPS ... design and implementation - IEEE Workshop on Signal Processing Systems","issn_l":"1520-6130","issn":["1520-6130","2374-7390"],"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":"2007 IEEE Workshop on Signal Processing Systems","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/A5109342880","display_name":"Chi-Li Yu","orcid":null},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Chi-Li Yu","raw_affiliation_strings":["Graduate Institute of Electronics Engineering, and Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan","Graduate Institute of Electronics Engineering, and Department of Electrical Engineering, National Taiwan University Taipei, 106, Taiwan, R.O.C"],"affiliations":[{"raw_affiliation_string":"Graduate Institute of Electronics Engineering, and Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"Graduate Institute of Electronics Engineering, and Department of Electrical Engineering, National Taiwan University Taipei, 106, Taiwan, R.O.C","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080667062","display_name":"Tzu-Hao Yu","orcid":null},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Tzu-Hao Yu","raw_affiliation_strings":["Graduate Institute of Electronics Engineering, and Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan","Graduate Institute of Electronics Engineering, and Department of Electrical Engineering, National Taiwan University Taipei, 106, Taiwan, R.O.C"],"affiliations":[{"raw_affiliation_string":"Graduate Institute of Electronics Engineering, and Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"Graduate Institute of Electronics Engineering, and Department of Electrical Engineering, National Taiwan University Taipei, 106, Taiwan, R.O.C","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109465340","display_name":"An-Yeu Wu","orcid":"https://orcid.org/0000-0003-4731-8633"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"An-Yeu Wu","raw_affiliation_strings":["Graduate Institute of Electronics Engineering, and Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan","Graduate Institute of Electronics Engineering, and Department of Electrical Engineering, National Taiwan University Taipei, 106, Taiwan, R.O.C"],"affiliations":[{"raw_affiliation_string":"Graduate Institute of Electronics Engineering, and Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"Graduate Institute of Electronics Engineering, and Department of Electrical Engineering, National Taiwan University Taipei, 106, Taiwan, R.O.C","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5109342880"],"corresponding_institution_ids":["https://openalex.org/I16733864"],"apc_list":null,"apc_paid":null,"fwci":0.3643,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63009733,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"430","last_page":"435"},"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":0.9959999918937683,"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/T13650","display_name":"Computational Physics and Python Applications","score":0.9757000207901001,"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/cordic","display_name":"CORDIC","score":0.9871723651885986},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.6807739734649658},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5973542332649231},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5789506435394287},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.5742812156677246},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.5653512477874756},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.5586364269256592},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.49443936347961426},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.4291793704032898},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3795284032821655},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.28869736194610596},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.2446519434452057},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24121856689453125},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07639265060424805}],"concepts":[{"id":"https://openalex.org/C58870171","wikidata":"https://www.wikidata.org/wiki/Q116076","display_name":"CORDIC","level":3,"score":0.9871723651885986},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.6807739734649658},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5973542332649231},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5789506435394287},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.5742812156677246},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.5653512477874756},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.5586364269256592},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.49443936347961426},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4291793704032898},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3795284032821655},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.28869736194610596},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.2446519434452057},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24121856689453125},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07639265060424805},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/sips.2007.4387586","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sips.2007.4387586","pdf_url":null,"source":{"id":"https://openalex.org/S4210209284","display_name":"SiPS ... design and implementation - IEEE Workshop on Signal Processing Systems","issn_l":"1520-6130","issn":["1520-6130","2374-7390"],"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":"2007 IEEE Workshop on Signal Processing Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2034198879","https://openalex.org/W2057789075","https://openalex.org/W2089607228","https://openalex.org/W2102577205","https://openalex.org/W2115452265","https://openalex.org/W2154699063"],"related_works":["https://openalex.org/W2375598816","https://openalex.org/W2379157082","https://openalex.org/W2401971123","https://openalex.org/W907492214","https://openalex.org/W2534468830","https://openalex.org/W2942242634","https://openalex.org/W2005644954","https://openalex.org/W2937789225","https://openalex.org/W2549769717","https://openalex.org/W2312006538"],"abstract_inverted_index":{"A":[0],"novel":[1],"analysis":[2],"methodology":[3],"on":[4,15],"the":[5,16,56],"quantization":[6],"effect":[7],"of":[8],"existing":[9],"CORDIC":[10],"algorithms":[11],"is":[12,23,42],"presented.":[13],"Based":[14],"methodology,":[17],"we":[18],"first":[19],"verified":[20],"that":[21],"MSR-CORDIC":[22,50],"a":[24,38],"much":[25],"favorable":[26],"candidate":[27],"for":[28,49],"rotation-based":[29,64],"applications":[30],"due":[31],"to":[32,44],"its":[33],"high":[34],"numerical":[35],"precision.":[36],"Then,":[37],"new":[39],"design":[40],"flow":[41],"proposed":[43],"determine":[45],"an":[46],"ideal":[47],"configuration":[48],"with":[51],"optimized":[52],"accuracy":[53],"performance":[54],"under":[55],"same":[57],"hardware":[58],"cost.":[59],"This":[60],"would":[61],"benefit":[62],"many":[63],"DSP":[65],"applications,":[66],"such":[67],"as":[68],"FFT,":[69],"QRD,":[70],"and":[71],"EVD.":[72]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
