{"id":"https://openalex.org/W2109879183","doi":"https://doi.org/10.1109/tit.1968.1054217","title":"Examples of optimum detection of Gaussian signals and interpretation of white noise","display_name":"Examples of optimum detection of Gaussian signals and interpretation of white noise","publication_year":1968,"publication_date":"1968-09-01","ids":{"openalex":"https://openalex.org/W2109879183","doi":"https://doi.org/10.1109/tit.1968.1054217","mag":"2109879183"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1968.1054217","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054217","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/A5034063717","display_name":"T. Kadota","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"T. Kadota","raw_affiliation_strings":["Bell Telephone Laboratories, Inc., Murray Hill, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Bell Telephone Laboratories, Inc., Murray Hill, NJ, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034063717"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.3857,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.92918563,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"5","first_page":"725","last_page":"734"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9847000241279602,"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"}},"topics":[{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9847000241279602,"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/T11236","display_name":"Control Systems and Identification","score":0.9775000214576721,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T13126","display_name":"Scientific Research and Discoveries","score":0.973800003528595,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.7164782285690308},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.6515265703201294},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.6474676132202148},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6377801895141602},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5625865459442139},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.548826277256012},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5321229100227356},{"id":"https://openalex.org/keywords/test-statistic","display_name":"Test statistic","score":0.5203820466995239},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.49580153822898865},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.45317867398262024},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.4338170289993286},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.4276471734046936},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.37186145782470703},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35331249237060547},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2876003682613373},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.2796042859554291},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18352431058883667},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1627136766910553}],"concepts":[{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.7164782285690308},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.6515265703201294},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.6474676132202148},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6377801895141602},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5625865459442139},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.548826277256012},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5321229100227356},{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.5203820466995239},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.49580153822898865},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.45317867398262024},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.4338170289993286},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.4276471734046936},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.37186145782470703},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35331249237060547},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2876003682613373},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.2796042859554291},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18352431058883667},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1627136766910553},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1968.1054217","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054217","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":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7699999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W195667461","https://openalex.org/W1546895787","https://openalex.org/W1995973293","https://openalex.org/W2001300612","https://openalex.org/W2014831690","https://openalex.org/W2031755322","https://openalex.org/W2035136688","https://openalex.org/W2047498614","https://openalex.org/W2049917002","https://openalex.org/W2058315127","https://openalex.org/W2076292365","https://openalex.org/W2088892400","https://openalex.org/W2096510915","https://openalex.org/W2100577507","https://openalex.org/W2101988614","https://openalex.org/W2125603763","https://openalex.org/W2134390549","https://openalex.org/W2163258071","https://openalex.org/W2241375259","https://openalex.org/W2270623502","https://openalex.org/W2748254853","https://openalex.org/W2897373384","https://openalex.org/W3048078645","https://openalex.org/W6607901460","https://openalex.org/W6694057651","https://openalex.org/W6742735215"],"related_works":["https://openalex.org/W1974392290","https://openalex.org/W1911817635","https://openalex.org/W2353656796","https://openalex.org/W2011915004","https://openalex.org/W1967187784","https://openalex.org/W2130974430","https://openalex.org/W2074565401","https://openalex.org/W2242778450","https://openalex.org/W3103566292","https://openalex.org/W1607924090"],"abstract_inverted_index":{"Simultaneously":[0],"orthogonal":[1],"expansion":[2,27],"of":[3,8,17,20,46,69,75,94,99,105],"two":[4,29],"processes":[5],"is":[6,109],"one":[7,41],"the":[9,15,36,43,53,59,76,103],"major":[10],"mathematical":[11],"tools":[12],"for":[13,35,42],"solving":[14,70],"problem":[16],"optimum":[18,48,54,106],"detection":[19,55,107],"Gaussian":[21,24],"signals":[22],"in":[23,102],"noise.":[25],"This":[26],"yields":[28],"integral":[30,60],"equations:":[31],"a":[32],"homogeneous":[33],"equation":[34],"threshold":[37],"and":[38,73,78,87],"an":[39,47,96],"inhomogeneous":[40],"test":[44,79],"statistic":[45],"decision":[49],"rule.":[50],"After":[51],"reviewing":[52],"theory":[56,108],"leading":[57],"to":[58,66],"equations,":[61],"four":[62],"examples":[63],"are":[64],"presented":[65],"illustrate":[67],"techniques":[68,82],"these":[71],"equations":[72],"determination":[74],"thresholds":[77],"statistics.":[80],"These":[81],"involve":[83],"only":[84],"elementary":[85],"calculus":[86],"simple":[88],"linear":[89],"algebra.":[90],"Finally,":[91],"by":[92],"way":[93],"example,":[95],"asymptotic":[97],"interpretation":[98],"\"white":[100],"noise\"":[101],"context":[104],"given.":[110]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
