{"id":"https://openalex.org/W2123681607","doi":"https://doi.org/10.1109/icassp.2009.4960047","title":"On the error exponents for detecting randomly sampled noisy diffusion processes","display_name":"On the error exponents for detecting randomly sampled noisy diffusion processes","publication_year":2009,"publication_date":"2009-04-01","ids":{"openalex":"https://openalex.org/W2123681607","doi":"https://doi.org/10.1109/icassp.2009.4960047","mag":"2123681607"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2009.4960047","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2009.4960047","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-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/A5109907576","display_name":"Walid Hachem","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Walid Hachem","raw_affiliation_strings":["CNRS/Telecom ParisTech (ENST), France","CNRS / Telecom ParisTech (ENST), France"],"affiliations":[{"raw_affiliation_string":"CNRS/Telecom ParisTech (ENST), France","institution_ids":["https://openalex.org/I12356871","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS / Telecom ParisTech (ENST), France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I12356871"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101398712","display_name":"\u00c9ric Moulines","orcid":"https://orcid.org/0000-0002-2058-0693"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Eric Moulines","raw_affiliation_strings":["CNRS/Telecom ParisTech (ENST), France","CNRS / Telecom ParisTech (ENST), France"],"affiliations":[{"raw_affiliation_string":"CNRS/Telecom ParisTech (ENST), France","institution_ids":["https://openalex.org/I12356871","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS / Telecom ParisTech (ENST), France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I12356871"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081462645","display_name":"Jamal Naj\u0131m","orcid":"https://orcid.org/0000-0002-2097-3649"},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jamal Najim","raw_affiliation_strings":["CNRS/Telecom ParisTech (ENST), France","CNRS / Telecom ParisTech (ENST), France"],"affiliations":[{"raw_affiliation_string":"CNRS/Telecom ParisTech (ENST), France","institution_ids":["https://openalex.org/I12356871","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS / Telecom ParisTech (ENST), France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I12356871"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073675112","display_name":"Fran\u00e7ois Roueff","orcid":"https://orcid.org/0000-0003-2372-0724"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Francois Roueff","raw_affiliation_strings":["CNRS/Telecom ParisTech (ENST), France","CNRS / Telecom ParisTech (ENST), France"],"affiliations":[{"raw_affiliation_string":"CNRS/Telecom ParisTech (ENST), France","institution_ids":["https://openalex.org/I12356871","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS / Telecom ParisTech (ENST), France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I12356871"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5109907576"],"corresponding_institution_ids":["https://openalex.org/I12356871","https://openalex.org/I1294671590"],"apc_list":null,"apc_paid":null,"fwci":0.3625,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66102665,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2169","last_page":"2172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9957000017166138,"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/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/false-alarm","display_name":"False alarm","score":0.6830087304115295},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.6116732954978943},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.578438401222229},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5716400146484375},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5532886981964111},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.42655065655708313},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4238741397857666},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.41732296347618103},{"id":"https://openalex.org/keywords/noise-measurement","display_name":"Noise measurement","score":0.4157543182373047},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41572466492652893},{"id":"https://openalex.org/keywords/diffusion-process","display_name":"Diffusion process","score":0.412325382232666},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.39467430114746094},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3356374502182007},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3297274112701416},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1872689425945282},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.156770259141922},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1165437400341034}],"concepts":[{"id":"https://openalex.org/C2776836416","wikidata":"https://www.wikidata.org/wiki/Q1364844","display_name":"False alarm","level":2,"score":0.6830087304115295},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.6116732954978943},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.578438401222229},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5716400146484375},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5532886981964111},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.42655065655708313},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4238741397857666},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.41732296347618103},{"id":"https://openalex.org/C29265498","wikidata":"https://www.wikidata.org/wiki/Q7047719","display_name":"Noise measurement","level":3,"score":0.4157543182373047},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41572466492652893},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.412325382232666},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.39467430114746094},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3356374502182007},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3297274112701416},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1872689425945282},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.156770259141922},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1165437400341034},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"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/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/icassp.2009.4960047","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2009.4960047","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.407.9043","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.407.9043","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://perso.telecom-paristech.fr/~najim/Preprints/icassp2009.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.408.1204","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.408.1204","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://perso.telecom-paristech.fr/~hachem/np.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1978990971","https://openalex.org/W2023174325","https://openalex.org/W2119347354","https://openalex.org/W2122764859","https://openalex.org/W2140971281","https://openalex.org/W2146854872","https://openalex.org/W2167042458","https://openalex.org/W2168871528","https://openalex.org/W4292963524"],"related_works":["https://openalex.org/W203295161","https://openalex.org/W4298117410","https://openalex.org/W1581760881","https://openalex.org/W2015493381","https://openalex.org/W2477256636","https://openalex.org/W1494405327","https://openalex.org/W2119732617","https://openalex.org/W2792194493","https://openalex.org/W2963229921","https://openalex.org/W2729003867"],"abstract_inverted_index":{"This":[0,103],"paper":[1],"deals":[2],"with":[3,113,121],"the":[4,33,50,53,61,76,86,97],"detection":[5],"of":[6,32,42,52,64,88],"a":[7,24,114,122],"continuous":[8],"random":[9,25,115],"process":[10,34,56,112],"described":[11],"by":[12],"an":[13],"Ornstein-Uhlenbeck":[14],"(O-U)":[15],"stochastic":[16],"differential":[17],"equation.":[18],"Randomly":[19],"spaced":[20],"sensors":[21],"or":[22,57,117],"equivalently":[23],"time":[26],"sampler":[27],"which":[28,92],"deliver":[29],"noisy":[30,54,118],"samples":[31],"are":[35,44,101],"used":[36],"for":[37],"this":[38],"detection.":[39],"Two":[40],"types":[41],"tests":[43],"considered:":[45],"either":[46],"H0":[47,58],"refers":[48,59],"to":[49,60,82],"presence":[51,63],"O-U":[55,111,119],"sole":[62],"noise.":[65],"For":[66],"any":[67],"fixed":[68],"false":[69,98],"alarm":[70,99],"probability,":[71,100],"it":[72],"is":[73],"shown":[74],"that":[75,108],"type":[77],"II":[78],"error":[79],"probability":[80],"decreases":[81],"zero":[83],"exponentially":[84],"in":[85],"number":[87],"samples.":[89],"The":[90],"exponents,":[91],"do":[93],"not":[94],"depend":[95],"on":[96],"characterized.":[102],"work":[104],"completes":[105],"former":[106],"contributions":[107],"consider":[109],"noiseless":[110],"sampling":[116],"processes":[120],"regular":[123],"sampling.":[124]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}