{"id":"https://openalex.org/W2022624760","doi":"https://doi.org/10.1109/tit.1980.1056205","title":"A geometrical interpretation of signal detection and estimation (Corresp.)","display_name":"A geometrical interpretation of signal detection and estimation (Corresp.)","publication_year":1980,"publication_date":"1980-07-01","ids":{"openalex":"https://openalex.org/W2022624760","doi":"https://doi.org/10.1109/tit.1980.1056205","mag":"2022624760"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1980.1056205","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1980.1056205","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5012854096","display_name":"B. Picinbono","orcid":"https://orcid.org/0000-0002-9356-3931"},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"B. Picinbono","raw_affiliation_strings":["Laboratoire desSignaux et Systkmes, Centre Na tional dela Recherche Scientifique, Ecole Supdrieure dElectricit, Universite Paris-Sud, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire desSignaux et Systkmes, Centre Na tional dela Recherche Scientifique, Ecole Supdrieure dElectricit, Universite Paris-Sud, France","institution_ids":["https://openalex.org/I102197404"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012854096"],"corresponding_institution_ids":["https://openalex.org/I102197404"],"apc_list":null,"apc_paid":null,"fwci":1.2506,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.75613079,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"26","issue":"4","first_page":"493","last_page":"497"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9843000173568726,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9843000173568726,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9627000093460083,"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"}},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9498000144958496,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/signal-subspace","display_name":"Signal subspace","score":0.6689995527267456},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.6518586277961731},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6468212604522705},{"id":"https://openalex.org/keywords/detection-theory","display_name":"Detection theory","score":0.6440624594688416},{"id":"https://openalex.org/keywords/signal-transfer-function","display_name":"Signal transfer function","score":0.5910507440567017},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5881614089012146},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.5881445407867432},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5730359554290771},{"id":"https://openalex.org/keywords/stochastic-resonance","display_name":"Stochastic resonance","score":0.5673856735229492},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.547418475151062},{"id":"https://openalex.org/keywords/discrete-time-signal","display_name":"Discrete-time signal","score":0.5456812977790833},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5455800890922546},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.42847931385040283},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3998732268810272},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3744852840900421},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.31040629744529724},{"id":"https://openalex.org/keywords/analog-signal","display_name":"Analog signal","score":0.13418757915496826},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.10363638401031494},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1001516580581665},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09813946485519409}],"concepts":[{"id":"https://openalex.org/C2777121530","wikidata":"https://www.wikidata.org/wiki/Q7512739","display_name":"Signal subspace","level":4,"score":0.6689995527267456},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.6518586277961731},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6468212604522705},{"id":"https://openalex.org/C137270730","wikidata":"https://www.wikidata.org/wiki/Q120811","display_name":"Detection theory","level":3,"score":0.6440624594688416},{"id":"https://openalex.org/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.5910507440567017},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5881614089012146},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.5881445407867432},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5730359554290771},{"id":"https://openalex.org/C207658827","wikidata":"https://www.wikidata.org/wiki/Q1999781","display_name":"Stochastic resonance","level":4,"score":0.5673856735229492},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.547418475151062},{"id":"https://openalex.org/C146749787","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete-time signal","level":5,"score":0.5456812977790833},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5455800890922546},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.42847931385040283},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3998732268810272},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3744852840900421},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31040629744529724},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.13418757915496826},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.10363638401031494},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1001516580581665},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09813946485519409},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1980.1056205","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1980.1056205","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W563424313","https://openalex.org/W1536252645","https://openalex.org/W1536997931","https://openalex.org/W2092579730","https://openalex.org/W2101491646","https://openalex.org/W2156460695","https://openalex.org/W2170076406","https://openalex.org/W3107236691","https://openalex.org/W4213062135","https://openalex.org/W4236765357"],"related_works":["https://openalex.org/W1974988056","https://openalex.org/W2012879029","https://openalex.org/W2046858723","https://openalex.org/W2434241360","https://openalex.org/W2279546664","https://openalex.org/W2804467536","https://openalex.org/W2052144963","https://openalex.org/W3032653044","https://openalex.org/W2385272840","https://openalex.org/W2022624760"],"abstract_inverted_index":{"By":[0],"introducing":[1],"an":[2],"appropriate":[3],"representation":[4],"of":[5,15,19,22,81,90,105,115,133,135],"the":[6,20,35,38,47,61,75,79,82,88,91,94,110],"observation,":[7],"detection":[8,21,68,126,134],"problems":[9,127],"may":[10],"be":[11,72],"interpreted":[12],"in":[13,26,74,93,109,113],"terms":[14,114],"estimation.":[16,117],"The":[17,67,118],"case":[18],"a":[23,51,101],"deterministic":[24],"signal":[25,39,76,95,125],"Gaussian":[27],"noise":[28,53,62,92],"is":[29,37,42,49,85,120],"associated":[30],"with":[31],"two":[32],"orthogonal":[33],"subspaces:":[34],"first":[36],"subspace":[40],"which":[41],"generally":[43],"one":[44],"dimensional":[45],"and":[46,64,128],"second":[48],"called":[50],"reference":[52],"alone":[54],"(RNA)":[55],"space":[56,84],"because":[57],"it":[58],"contains":[59],"only":[60],"component":[63],"no":[65],"signal.":[66],"problem":[69],"can":[70],"then":[71],"solved":[73],"subspace,":[77],"while":[78],"use":[80],"RNA":[83],"reduced":[86],"to":[87,100,123,129],"estimation":[89],"subspace.":[96],"This":[97],"decomposition":[98],"leads":[99],"very":[102],"simple":[103],"interpretation":[104],"singular":[106],"detection,":[107],"even":[108],"non-Gaussian":[111],"case,":[112],"perfect":[116],"method":[119],"also":[121],"extended":[122],"multiple":[124],"some":[130],"special":[131],"cases":[132],"random":[136],"signals.":[137]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}