{"id":"https://openalex.org/W4388115407","doi":"https://doi.org/10.23919/eusipco58844.2023.10289874","title":"Barankin Bound vs Cram\u00e9r-Rao Bound for Interferometric-Like Array Design at Low SNR","display_name":"Barankin Bound vs Cram\u00e9r-Rao Bound for Interferometric-Like Array Design at Low SNR","publication_year":2023,"publication_date":"2023-09-04","ids":{"openalex":"https://openalex.org/W4388115407","doi":"https://doi.org/10.23919/eusipco58844.2023.10289874"},"language":"en","primary_location":{"id":"doi:10.23919/eusipco58844.2023.10289874","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco58844.2023.10289874","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 31st European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04399119v1/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040532558","display_name":"Jianhua Wang","orcid":"https://orcid.org/0000-0001-8372-5864"},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210136613","display_name":"Laboratoire des syst\u00e8mes et applications des technologies de l'information et de l'\u00e9nergie","ror":"https://ror.org/03vam5b06","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I124158823","https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210134562","https://openalex.org/I4210136613","https://openalex.org/I4210142324","https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jianhua Wang","raw_affiliation_strings":["Universit&#x00E9; Paris-Saclay,SATIE,Gif-sur-Yvette,France,91190"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit&#x00E9; Paris-Saclay,SATIE,Gif-sur-Yvette,France,91190","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I4210136613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010721980","display_name":"Lucien Bacharach","orcid":"https://orcid.org/0000-0003-3968-7033"},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210136613","display_name":"Laboratoire des syst\u00e8mes et applications des technologies de l'information et de l'\u00e9nergie","ror":"https://ror.org/03vam5b06","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I124158823","https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210134562","https://openalex.org/I4210136613","https://openalex.org/I4210142324","https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lucien Bacharach","raw_affiliation_strings":["Universit&#x00E9; Paris-Saclay,SATIE,Gif-sur-Yvette,France,91190"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit&#x00E9; Paris-Saclay,SATIE,Gif-sur-Yvette,France,91190","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I4210136613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052423002","display_name":"Mohammed Nabil El Korso","orcid":"https://orcid.org/0000-0002-5489-4308"},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mohammed Nabil El Korso","raw_affiliation_strings":["Universit&#x00E9; Paris-Saclay,L2S,Gif-sur-Yvette,France,91190"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit&#x00E9; Paris-Saclay,L2S,Gif-sur-Yvette,France,91190","institution_ids":["https://openalex.org/I277688954"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106486124","display_name":"Pascal Larzabal","orcid":null},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210136613","display_name":"Laboratoire des syst\u00e8mes et applications des technologies de l'information et de l'\u00e9nergie","ror":"https://ror.org/03vam5b06","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I124158823","https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210134562","https://openalex.org/I4210136613","https://openalex.org/I4210142324","https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pascal Larzabal","raw_affiliation_strings":["Universit&#x00E9; Paris-Saclay,SATIE,Gif-sur-Yvette,France,91190"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit&#x00E9; Paris-Saclay,SATIE,Gif-sur-Yvette,France,91190","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I4210136613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040532558"],"corresponding_institution_ids":["https://openalex.org/I277688954","https://openalex.org/I4210136613"],"apc_list":null,"apc_paid":null,"fwci":0.8041,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.85347016,"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":"1554","last_page":"1558"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11946","display_name":"Antenna Design and Optimization","score":0.9997000098228455,"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/T11946","display_name":"Antenna Design and Optimization","score":0.9997000098228455,"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9994999766349792,"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/T10891","display_name":"Radar Systems and Signal Processing","score":0.9984999895095825,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7246648073196411},{"id":"https://openalex.org/keywords/cram\u00e9r\u2013rao-bound","display_name":"Cram\u00e9r\u2013Rao bound","score":0.7207634449005127},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.6478365063667297},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.564041018486023},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.5213402509689331},{"id":"https://openalex.org/keywords/ambiguity","display_name":"Ambiguity","score":0.4791107177734375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44472160935401917},{"id":"https://openalex.org/keywords/antenna-array","display_name":"Antenna array","score":0.43912315368652344},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41147711873054504},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.39540934562683105},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3647468686103821},{"id":"https://openalex.org/keywords/antenna","display_name":"Antenna (radio)","score":0.3484141230583191},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.34467217326164246},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.24709749221801758},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11911693215370178}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7246648073196411},{"id":"https://openalex.org/C4978587","wikidata":"https://www.wikidata.org/wiki/Q1138810","display_name":"Cram\u00e9r\u2013Rao bound","level":3,"score":0.7207634449005127},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.6478365063667297},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.564041018486023},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.5213402509689331},{"id":"https://openalex.org/C2780522230","wikidata":"https://www.wikidata.org/wiki/Q1140419","display_name":"Ambiguity","level":2,"score":0.4791107177734375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44472160935401917},{"id":"https://openalex.org/C62191587","wikidata":"https://www.wikidata.org/wiki/Q4771249","display_name":"Antenna array","level":3,"score":0.43912315368652344},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41147711873054504},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.39540934562683105},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3647468686103821},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.3484141230583191},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.34467217326164246},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.24709749221801758},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11911693215370178},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/eusipco58844.2023.10289874","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco58844.2023.10289874","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 31st European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-04399119v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04399119","pdf_url":"https://hal.science/hal-04399119v1/document","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":"2023 31st European Signal Processing Conference (EUSIPCO), Sep 2023, Helsinki, Finland. pp.1554-1558, &#x27E8;10.23919/EUSIPCO58844.2023.10289874&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04399119v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04399119","pdf_url":"https://hal.science/hal-04399119v1/document","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":"2023 31st European Signal Processing Conference (EUSIPCO), Sep 2023, Helsinki, Finland. pp.1554-1558, &#x27E8;10.23919/EUSIPCO58844.2023.10289874&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388115407.pdf"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1633529777","https://openalex.org/W1964209088","https://openalex.org/W2027422740","https://openalex.org/W2098540974","https://openalex.org/W2100642855","https://openalex.org/W2135143380","https://openalex.org/W2148486596","https://openalex.org/W2161192450","https://openalex.org/W2167933251","https://openalex.org/W2169207653","https://openalex.org/W2257439149","https://openalex.org/W2300869723","https://openalex.org/W2737602765","https://openalex.org/W2885752592","https://openalex.org/W2905382656","https://openalex.org/W2963005128","https://openalex.org/W3117574691","https://openalex.org/W3155056659","https://openalex.org/W4285808908","https://openalex.org/W6840229602"],"related_works":["https://openalex.org/W2353179089","https://openalex.org/W2585557503","https://openalex.org/W2169354510","https://openalex.org/W1967296369","https://openalex.org/W4389474210","https://openalex.org/W1971427935","https://openalex.org/W2014635939","https://openalex.org/W2073381184","https://openalex.org/W1952484348","https://openalex.org/W2151952539"],"abstract_inverted_index":{"In":[0,59],"this":[1,60,72],"paper,":[2],"we":[3,74],"address":[4,71],"the":[5,21,28,40,51,57,62,76,79,84,118,128,132,138,150,158,163],"antenna":[6],"array":[7,29,120],"design":[8],"problem":[9,31],"at":[10,49],"low":[11],"signal-to-noise":[12],"ratio":[13],"(SNR).":[14],"The":[15,115,145],"Cram\u00e9r-":[16],"Rao":[17],"bound":[18],"(CRB)":[19],"is":[20,64,122],"most":[22],"commonly":[23],"used":[24],"criterion":[25,152],"to":[26,33],"solve":[27],"optimization":[30,98],"due":[32],"its":[34],"computing":[35],"simplicity":[36],"and":[37,87,92,110,124,131,143,161],"tightness":[38],"in":[39,90],"asymptotical":[41],"region.":[42],"However,":[43],"there":[44],"exists":[45],"a":[46,67,102,154],"threshold":[47],"SNR":[48],"which":[50],"estimation":[52,139,159],"variance":[53],"significantly":[54],"deviates":[55],"from":[56],"CRB.":[58],"case,":[61],"CRB":[63],"no":[65],"longer":[66],"tight":[68],"bound.":[69],"To":[70],"issue,":[73],"propose":[75],"use":[77],"of":[78,113,117,140],"Barankin":[80],"Bound":[81],"(BB)":[82],"on":[83,137],"source":[85,88,141],"location":[86,142],"intensity":[89],"astrometry":[91],"photometry":[93],"problems":[94],"as":[95],"an":[96],"alternative":[97],"criterion.":[99],"BB":[100],"provides":[101,153],"mean":[103,133],"square":[104,134],"error":[105,135],"(MSE)-optimal":[106],"trade-off":[107,155],"mainlobe":[108],"width":[109],"sidelobe":[111],"level":[112],"beampattern.":[114],"performance":[116],"obtained":[119],"geometries":[121],"assessed":[123],"compared":[125],"by":[126],"evaluating":[127],"aforementioned":[129],"bounds":[130],"(MSE)":[136],"intensity.":[144],"simulation":[146],"results":[147],"illustrate":[148],"that":[149],"BB-based":[151],"between":[156],"increasing":[157],"accuracy":[160],"reducing":[162],"ambiguity.":[164]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
