{"id":"https://openalex.org/W4295832176","doi":"https://doi.org/10.1109/tcsi.2022.3201746","title":"A Signal Flow Graph Approach to the Resolution of Spherical Triangles Using CORDIC","display_name":"A Signal Flow Graph Approach to the Resolution of Spherical Triangles Using CORDIC","publication_year":2022,"publication_date":"2022-09-13","ids":{"openalex":"https://openalex.org/W4295832176","doi":"https://doi.org/10.1109/tcsi.2022.3201746"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2022.3201746","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2022.3201746","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Transactions on Circuits and Systems I: Regular Papers","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/A5048144249","display_name":"Jean-Marc Delosme","orcid":"https://orcid.org/0000-0003-2307-7601"},"institutions":[{"id":"https://openalex.org/I4210107733","display_name":"Informatique, Biologie Int\u00e9grative et Syst\u00e8mes Complexes","ror":"https://ror.org/01aqxgr98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210107733","https://openalex.org/I88467170"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Marc Delosme","raw_affiliation_strings":["IBISC, Université d’Évry, Université Paris-Saclay, Évry, France"],"affiliations":[{"raw_affiliation_string":"IBISC, Université d’Évry, Université Paris-Saclay, Évry, France","institution_ids":["https://openalex.org/I4210107733"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048144249"],"corresponding_institution_ids":["https://openalex.org/I4210107733"],"apc_list":null,"apc_paid":null,"fwci":0.1461,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.48949255,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"69","issue":"12","first_page":"5159","last_page":"5170"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9836999773979187,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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":0.9707000255584717,"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/cordic","display_name":"CORDIC","score":0.7814172506332397},{"id":"https://openalex.org/keywords/signal-flow-graph","display_name":"Signal-flow graph","score":0.7422901391983032},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5306783318519592},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49392348527908325},{"id":"https://openalex.org/keywords/spherical-trigonometry","display_name":"Spherical trigonometry","score":0.47410255670547485},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44648316502571106},{"id":"https://openalex.org/keywords/spherical-coordinate-system","display_name":"Spherical coordinate system","score":0.41866394877433777},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2908693552017212},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.25677138566970825},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1734650731086731},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.13475891947746277},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11002656817436218}],"concepts":[{"id":"https://openalex.org/C58870171","wikidata":"https://www.wikidata.org/wiki/Q116076","display_name":"CORDIC","level":3,"score":0.7814172506332397},{"id":"https://openalex.org/C166501922","wikidata":"https://www.wikidata.org/wiki/Q1786523","display_name":"Signal-flow graph","level":2,"score":0.7422901391983032},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5306783318519592},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49392348527908325},{"id":"https://openalex.org/C184551148","wikidata":"https://www.wikidata.org/wiki/Q46463","display_name":"Spherical trigonometry","level":2,"score":0.47410255670547485},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44648316502571106},{"id":"https://openalex.org/C126990412","wikidata":"https://www.wikidata.org/wiki/Q203218","display_name":"Spherical coordinate system","level":2,"score":0.41866394877433777},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2908693552017212},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.25677138566970825},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1734650731086731},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.13475891947746277},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11002656817436218},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcsi.2022.3201746","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2022.3201746","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Transactions on Circuits and Systems I: Regular Papers","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03902440v1","is_oa":false,"landing_page_url":"https://univ-evry.hal.science/hal-03902440","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers, 2022, 69 (12), pp.5159-5170. ⟨10.1109/TCSI.2022.3201746⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1592199976","https://openalex.org/W1711518791","https://openalex.org/W1930777297","https://openalex.org/W1980739707","https://openalex.org/W1985956780","https://openalex.org/W2010307518","https://openalex.org/W2011113670","https://openalex.org/W2068641562","https://openalex.org/W2070013817","https://openalex.org/W2089607228","https://openalex.org/W2115452265","https://openalex.org/W2115968023","https://openalex.org/W2118380063","https://openalex.org/W2130388288","https://openalex.org/W2132420715","https://openalex.org/W2150633168","https://openalex.org/W2160145175","https://openalex.org/W2200868669","https://openalex.org/W2478998048","https://openalex.org/W4205532511"],"related_works":["https://openalex.org/W2375250649","https://openalex.org/W4245874658","https://openalex.org/W2370262025","https://openalex.org/W2898582159","https://openalex.org/W4382058375","https://openalex.org/W2765807456","https://openalex.org/W2918327176","https://openalex.org/W2087189748","https://openalex.org/W4221018581","https://openalex.org/W2999294834"],"abstract_inverted_index":{"Jack":[0],"Volder\u2019s":[1],"original":[2],"motivation":[3],"for":[4,23,163],"the":[5,11,47,89,99,108,112,126,133,139],"COordinate":[6],"DIgital":[7],"Computer":[8],"(CORDIC)":[9],"was":[10],"real-time":[12],"digital":[13],"solution":[14,28,76,114],"of":[15,49,63,88,98,102,121,142],"spherical":[16,59,144],"triangle":[17,145],"equations":[18,104],"employed":[19],"in":[20,154],"airborne":[21],"navigation,":[22,160],"which":[24],"he":[25],"presented":[26],"a":[27,38,74,84,93,119,143],"flow":[29,95,123],"diagram":[30],"without":[31,37],"detailing":[32],"its":[33],"construction.":[34],"In":[35],"fact,":[36],"strong":[39],"guidance,":[40],"it":[41,82],"is":[42,130,152],"not":[43],"easy":[44],"to":[45,72,111],"express":[46],"solutions":[48,171],"linear":[50,103],"algebraic":[51],"problems":[52],"such":[53,106],"as":[54,61,156,158,177,179],"those":[55],"involved":[56],"when":[57],"solving":[58],"triangles":[60],"cascades":[62],"CORDIC":[64,68,78],"operations\u2014called":[65],"by":[66,117,132],"Volder":[67],"solution-flow":[69],"diagrams\u2014and":[70],"thus":[71,172],"devise":[73],"system":[75,90,101],"on":[77,125],"processing":[79],"units.":[80],"As":[81],"gives":[83],"bird\u2019s":[85],"eye":[86],"view":[87],"design":[91],"problem,":[92,150],"signal":[94],"graph":[96],"representation":[97],"underlying":[100],"provides":[105],"guidance;":[107],"operations":[109],"leading":[110],"problem":[113,134],"are":[115,146,174],"uncovered":[116],"performing":[118],"sequence":[120],"partial":[122],"reversals":[124],"graph.":[127],"The":[128,170],"approach":[129],"illustrated":[131],"where":[135],"two":[136],"sides":[137],"and":[138,166],"included":[140],"angle":[141],"given,":[147],"called":[148],"SAS":[149],"that":[151],"encountered":[153],"applications":[155],"diverse":[157],"air":[159],"lattice":[161],"filters":[162],"adaptive":[164],"processing,":[165],"dexterous":[167],"robotic":[168],"hands.":[169],"obtained":[173],"at":[175],"least":[176],"efficient":[178],"existing":[180],"ones,":[181],"whenever":[182],"available.":[183]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}