{"id":"https://openalex.org/W2157284567","doi":"https://doi.org/10.1109/msp.2004.1267054","title":"Another contender in the arctangent race","display_name":"Another contender in the arctangent race","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2157284567","doi":"https://doi.org/10.1109/msp.2004.1267054","mag":"2157284567"},"language":"en","primary_location":{"id":"doi:10.1109/msp.2004.1267054","is_oa":false,"landing_page_url":"https://doi.org/10.1109/msp.2004.1267054","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/A5091739879","display_name":"R. Lyons","orcid":"https://orcid.org/0000-0001-9590-4034"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"R. Lyons","raw_affiliation_strings":["Besser Associates"],"affiliations":[{"raw_affiliation_string":"Besser Associates","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091739879"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5609,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.6893539,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"21","issue":"1","first_page":"109","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9980999827384949,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9980999827384949,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9789999723434448,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/inverse-trigonometric-functions","display_name":"Inverse trigonometric functions","score":0.9287861585617065},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5433169603347778},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5274230241775513},{"id":"https://openalex.org/keywords/lookup-table","display_name":"Lookup table","score":0.5220091938972473},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.49987077713012695},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4795765280723572},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4743463099002838},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.46621212363243103},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4625169038772583},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.45125967264175415},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36476385593414307},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.32915180921554565},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.18924656510353088},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18155863881111145},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1765657663345337},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.07556089758872986},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07308405637741089},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.06984832882881165}],"concepts":[{"id":"https://openalex.org/C68827188","wikidata":"https://www.wikidata.org/wiki/Q674533","display_name":"Inverse trigonometric functions","level":2,"score":0.9287861585617065},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5433169603347778},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5274230241775513},{"id":"https://openalex.org/C134835016","wikidata":"https://www.wikidata.org/wiki/Q690265","display_name":"Lookup table","level":2,"score":0.5220091938972473},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.49987077713012695},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4795765280723572},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4743463099002838},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.46621212363243103},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4625169038772583},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.45125967264175415},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36476385593414307},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.32915180921554565},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.18924656510353088},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18155863881111145},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1765657663345337},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.07556089758872986},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07308405637741089},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.06984832882881165},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/msp.2004.1267054","is_oa":false,"landing_page_url":"https://doi.org/10.1109/msp.2004.1267054","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":0,"referenced_works":[],"related_works":["https://openalex.org/W3155892526","https://openalex.org/W4312625171","https://openalex.org/W2132350861","https://openalex.org/W2071613945","https://openalex.org/W2113914293","https://openalex.org/W2388395474","https://openalex.org/W2505844909","https://openalex.org/W2105165119","https://openalex.org/W1604705142","https://openalex.org/W1975763851"],"abstract_inverted_index":{"Fast":[0],"and":[1,59],"accurate":[2],"methods":[3],"for":[4],"computing":[5],"the":[6,19,26,39,55,82,90],"arctangent":[7,48,83],"of":[8,21,30,41,57,71],"a":[9,31],"complex":[10,32],"number":[11],"x":[12],"=":[13],"I":[14,58],"+":[15],"jQ":[16],"have":[17],"been":[18],"subject":[20],"extensive":[22],"study":[23],"because":[24],"estimating":[25],"angle":[27,72],"/spl":[28,73],"theta/":[29],"value":[33],"has":[34],"so":[35],"many":[36],"applications":[37],"in":[38,46,64],"field":[40],"signal":[42],"processing.":[43],"Practitioners":[44],"interested":[45],"high-speed":[47],"computations":[49],"typically":[50],"use":[51],"look-up":[52,91],"tables":[53],"where":[54],"values":[56],"Q":[60],"specify":[61],"an":[62,69],"address":[63],"read-only":[65],"memory":[66],"(ROM)":[67],"containing":[68],"approximation":[70,84],"theta/.":[74],"In":[75],"this":[76],"paper,":[77],"another":[78],"method":[79],"to":[80],"compute":[81],"is":[85],"proposed":[86],"that":[87],"uses":[88],"neither":[89],"table":[92],"nor":[93],"high":[94],"order":[95],"polynomials.":[96]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}