{"id":"https://openalex.org/W4400904904","doi":"https://doi.org/10.1109/tcns.2024.3432831","title":"Pseudorange Rigidity and Solvability of Cooperative GNSS Positioning","display_name":"Pseudorange Rigidity and Solvability of Cooperative GNSS Positioning","publication_year":2024,"publication_date":"2024-07-23","ids":{"openalex":"https://openalex.org/W4400904904","doi":"https://doi.org/10.1109/tcns.2024.3432831"},"language":"en","primary_location":{"id":"doi:10.1109/tcns.2024.3432831","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2024.3432831","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Control of Network Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04381627","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039377030","display_name":"Colin Cros","orcid":"https://orcid.org/0000-0003-1669-5495"},"institutions":[{"id":"https://openalex.org/I4210124956","display_name":"Grenoble Images Parole Signal Automatique","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Colin Cros","raw_affiliation_strings":["CNRS, Univ. Grenoble Alpes, GIPSA-lab, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"CNRS, Univ. Grenoble Alpes, GIPSA-lab, Grenoble, France","institution_ids":["https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038576947","display_name":"Pierre\u2010Olivier Amblard","orcid":"https://orcid.org/0000-0002-7695-7728"},"institutions":[{"id":"https://openalex.org/I4210124956","display_name":"Grenoble Images Parole Signal Automatique","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre-Olivier Amblard","raw_affiliation_strings":["CNRS, Univ. Grenoble Alpes, GIPSA-lab, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"CNRS, Univ. Grenoble Alpes, GIPSA-lab, Grenoble, France","institution_ids":["https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083387069","display_name":"Christophe Prieur","orcid":"https://orcid.org/0000-0002-4456-2019"},"institutions":[{"id":"https://openalex.org/I4210124956","display_name":"Grenoble Images Parole Signal Automatique","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Prieur","raw_affiliation_strings":["CNRS, Univ. Grenoble Alpes, GIPSA-lab, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"CNRS, Univ. Grenoble Alpes, GIPSA-lab, Grenoble, France","institution_ids":["https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002259621","display_name":"Jean-Fran\u00e7ois Da Rocha","orcid":"https://orcid.org/0009-0001-4807-4821"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jean-Fran\u00e7ois Da Rocha","raw_affiliation_strings":["Telespazio FRANCE, Toulouse, France","Telespazio France (26 avenue J.F. Champollion, B.P. 52309 - 31023 Toulouse Cedex 1 - France)"],"affiliations":[{"raw_affiliation_string":"Telespazio FRANCE, Toulouse, France","institution_ids":[]},{"raw_affiliation_string":"Telespazio France (26 avenue J.F. Champollion, B.P. 52309 - 31023 Toulouse Cedex 1 - France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5039377030"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006"],"apc_list":null,"apc_paid":null,"fwci":0.7548,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.782745,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"12","issue":"1","first_page":"1176","last_page":"1187"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11325","display_name":"Inertial Sensor and Navigation","score":0.9595000147819519,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11325","display_name":"Inertial Sensor and Navigation","score":0.9595000147819519,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","score":0.9472000002861023,"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"}},{"id":"https://openalex.org/T10655","display_name":"GNSS positioning and interference","score":0.9129999876022339,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/pseudorange","display_name":"Pseudorange","score":0.896699070930481},{"id":"https://openalex.org/keywords/gnss-applications","display_name":"GNSS applications","score":0.7913540601730347},{"id":"https://openalex.org/keywords/rigidity","display_name":"Rigidity (electromagnetism)","score":0.6825026273727417},{"id":"https://openalex.org/keywords/global-positioning-system","display_name":"Global Positioning System","score":0.5130776166915894},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.479894757270813},{"id":"https://openalex.org/keywords/precise-point-positioning","display_name":"Precise Point Positioning","score":0.43275249004364014},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.34093570709228516},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.24266400933265686},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17068448662757874},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1416603922843933},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12385904788970947},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.0862012505531311}],"concepts":[{"id":"https://openalex.org/C174201072","wikidata":"https://www.wikidata.org/wiki/Q1187347","display_name":"Pseudorange","level":4,"score":0.896699070930481},{"id":"https://openalex.org/C14279187","wikidata":"https://www.wikidata.org/wiki/Q5514012","display_name":"GNSS applications","level":3,"score":0.7913540601730347},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.6825026273727417},{"id":"https://openalex.org/C60229501","wikidata":"https://www.wikidata.org/wiki/Q18822","display_name":"Global Positioning System","level":2,"score":0.5130776166915894},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.479894757270813},{"id":"https://openalex.org/C202511199","wikidata":"https://www.wikidata.org/wiki/Q7239503","display_name":"Precise Point Positioning","level":4,"score":0.43275249004364014},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34093570709228516},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.24266400933265686},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17068448662757874},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1416603922843933},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12385904788970947},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0862012505531311}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcns.2024.3432831","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2024.3432831","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Control of Network Systems","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04381627v2","is_oa":true,"landing_page_url":"https://hal.science/hal-04381627","pdf_url":null,"source":{"id":"https://openalex.org/S4406922454","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://ieeexplore.ieee.org/abstract/document/10607956","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04381627v2","is_oa":true,"landing_page_url":"https://hal.science/hal-04381627","pdf_url":null,"source":{"id":"https://openalex.org/S4406922454","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://ieeexplore.ieee.org/abstract/document/10607956","raw_type":"Journal articles"},"sustainable_development_goals":[{"score":0.6200000047683716,"display_name":"Zero hunger","id":"https://metadata.un.org/sdg/2"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W133608936","https://openalex.org/W391578156","https://openalex.org/W1483882723","https://openalex.org/W1635192251","https://openalex.org/W1964537835","https://openalex.org/W1977438424","https://openalex.org/W1978402801","https://openalex.org/W1983140521","https://openalex.org/W1988543519","https://openalex.org/W2002347650","https://openalex.org/W2027524385","https://openalex.org/W2027642854","https://openalex.org/W2048027461","https://openalex.org/W2053741158","https://openalex.org/W2076065673","https://openalex.org/W2094511617","https://openalex.org/W2107850743","https://openalex.org/W2110862165","https://openalex.org/W2121403868","https://openalex.org/W2806587748","https://openalex.org/W2885017432","https://openalex.org/W2962992878","https://openalex.org/W2963751758","https://openalex.org/W2984817831","https://openalex.org/W3045976685","https://openalex.org/W3087869918","https://openalex.org/W3172123146","https://openalex.org/W4231868828","https://openalex.org/W4237496336","https://openalex.org/W6607301457","https://openalex.org/W6636581298"],"related_works":["https://openalex.org/W3216386610","https://openalex.org/W4239395258","https://openalex.org/W2602888279","https://openalex.org/W3204981892","https://openalex.org/W4380563814","https://openalex.org/W3130617165","https://openalex.org/W2904557485","https://openalex.org/W3198415914","https://openalex.org/W2772082021","https://openalex.org/W3084744931"],"abstract_inverted_index":{"Global":[0],"Navigation":[1],"Satellite":[2],"Systems":[3],"(GNSS)":[4],"are":[5,85,98,183],"a":[6,38,59,70,109,123,158],"widely":[7],"used":[8],"technology":[9],"for":[10,143],"positioning":[11,15],"and":[12,135,160],"navigation.":[13],"GNSS":[14,167],"relies":[16],"on":[17],"pseudorange":[18,25,76,96,103,127],"measurements":[19],"from":[20,34,41],"satellites":[21,154],"to":[22,44,75,107,156,163],"receivers.":[23,171],"A":[24],"is":[26,58,82,105,122,141,161],"the":[27,35,45,49,54,93,113,150,164,178],"apparent":[28],"distance":[29,133],"between":[30,53],"two":[31],"agents":[32],"deduced":[33],"time-of-flight":[36],"of":[37,48,51,62,80,95,112,117,125,131,153,166,170,174,180],"signal":[39],"sent":[40],"one":[42],"agent":[43],"other,":[46],"because":[47],"lack":[50],"synchronization":[52],"agents'":[55],"clocks,":[56],"it":[57],"biased":[60],"version":[61],"their":[63],"distance.":[64],"In":[65,100],"this":[66,101],"article,":[67,102],"we":[68],"introduce":[69],"new":[71,139,147],"rigidity":[72,104],"theory":[73,140],"adapted":[74,142],"measurements.":[77,87],"The":[78,119,172],"peculiarity":[79],"pseudoranges":[81],"that":[83],"they":[84],"asymmetrical":[86,175],"Therefore,":[88],"unlike":[89],"other":[90],"usual":[91],"rigidities,":[92],"graphs":[94,128,134],"frameworks":[97],"directed.":[99],"proved":[106],"be":[108],"generic":[110],"property":[111],"underlying":[114],"undirected":[115],"graph":[116],"constraints.":[118],"main":[120],"result":[121],"characterization":[124],"rigid":[126,132],"as":[129],"combinations":[130],"connected":[136],"graphs.":[137],"This":[138],"GNSS.":[144],"It":[145],"provides":[146],"insights":[148],"into":[149],"minimum":[151],"number":[152],"needed":[155],"locate":[157],"receiver":[159],"applied":[162],"localization":[165],"cooperative":[168],"networks":[169],"interests":[173],"constraints":[176],"in":[177],"context":[179],"formation":[181],"control":[182],"also":[184],"discussed.":[185]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-26T23:08:49.675405","created_date":"2025-10-10T00:00:00"}