{"id":"https://openalex.org/W2424960887","doi":"https://doi.org/10.3390/e18060213","title":"Optimal Noise Enhanced Signal Detection in a Unified Framework","display_name":"Optimal Noise Enhanced Signal Detection in a Unified Framework","publication_year":2016,"publication_date":"2016-06-17","ids":{"openalex":"https://openalex.org/W2424960887","doi":"https://doi.org/10.3390/e18060213","mag":"2424960887"},"language":"en","primary_location":{"id":"doi:10.3390/e18060213","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e18060213","pdf_url":"https://www.mdpi.com/1099-4300/18/6/213/pdf?version=1466155420","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/18/6/213/pdf?version=1466155420","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051262408","display_name":"Ting Yang","orcid":"https://orcid.org/0000-0001-9876-2959"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ting Yang","raw_affiliation_strings":["College of Communication Engineering, Chongqing University, Chongqing 400044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Communication Engineering, Chongqing University, Chongqing 400044, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100726823","display_name":"Shujun Liu","orcid":"https://orcid.org/0000-0002-6608-2286"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shujun Liu","raw_affiliation_strings":["College of Communication Engineering, Chongqing University, Chongqing 400044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Communication Engineering, Chongqing University, Chongqing 400044, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072054500","display_name":"Ming\u2010Chun Tang","orcid":"https://orcid.org/0000-0002-5528-1327"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingchun Tang","raw_affiliation_strings":["College of Communication Engineering, Chongqing University, Chongqing 400044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Communication Engineering, Chongqing University, Chongqing 400044, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100435160","display_name":"Kui Zhang","orcid":"https://orcid.org/0000-0002-6287-8164"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kui Zhang","raw_affiliation_strings":["College of Communication Engineering, Chongqing University, Chongqing 400044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Communication Engineering, Chongqing University, Chongqing 400044, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076589871","display_name":"Xinzheng Zhang","orcid":"https://orcid.org/0000-0003-0170-992X"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinzheng Zhang","raw_affiliation_strings":["College of Communication Engineering, Chongqing University, Chongqing 400044, China"],"raw_orcid":"https://orcid.org/0000-0003-0170-992X","affiliations":[{"raw_affiliation_string":"College of Communication Engineering, Chongqing University, Chongqing 400044, China","institution_ids":["https://openalex.org/I158842170"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100726823"],"corresponding_institution_ids":["https://openalex.org/I158842170"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.221,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.57390197,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"18","issue":"6","first_page":"213","last_page":"213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9945999979972839,"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"}},"topics":[{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9945999979972839,"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"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9926000237464905,"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"}},{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9714999794960022,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.7496673464775085},{"id":"https://openalex.org/keywords/detection-theory","display_name":"Detection theory","score":0.6489058136940002},{"id":"https://openalex.org/keywords/false-alarm","display_name":"False alarm","score":0.6341429352760315},{"id":"https://openalex.org/keywords/detector","display_name":"Detector","score":0.6097865104675293},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5826021432876587},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5736954212188721},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5228222608566284},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5061246752738953},{"id":"https://openalex.org/keywords/constant-false-alarm-rate","display_name":"Constant false alarm rate","score":0.47090697288513184},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4488869905471802},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44205543398857117},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.440502405166626},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3424227237701416},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1704498529434204},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15774637460708618},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07632365822792053}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7496673464775085},{"id":"https://openalex.org/C137270730","wikidata":"https://www.wikidata.org/wiki/Q120811","display_name":"Detection theory","level":3,"score":0.6489058136940002},{"id":"https://openalex.org/C2776836416","wikidata":"https://www.wikidata.org/wiki/Q1364844","display_name":"False alarm","level":2,"score":0.6341429352760315},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.6097865104675293},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5826021432876587},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5736954212188721},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5228222608566284},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5061246752738953},{"id":"https://openalex.org/C77052588","wikidata":"https://www.wikidata.org/wiki/Q644307","display_name":"Constant false alarm rate","level":2,"score":0.47090697288513184},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4488869905471802},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44205543398857117},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.440502405166626},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3424227237701416},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1704498529434204},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15774637460708618},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07632365822792053},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e18060213","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e18060213","pdf_url":"https://www.mdpi.com/1099-4300/18/6/213/pdf?version=1466155420","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:1a531df33b094b83bf74ace169528e20","is_oa":true,"landing_page_url":"https://doaj.org/article/1a531df33b094b83bf74ace169528e20","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 18, Iss 6, p 213 (2016)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/18/6/213/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e18060213","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 18; Issue 6; Pages: 213","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e18060213","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e18060213","pdf_url":"https://www.mdpi.com/1099-4300/18/6/213/pdf?version=1466155420","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5699999928474426,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G1890670683","display_name":null,"funder_award_id":"61103212","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4451839581","display_name":null,"funder_award_id":"61471072","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5096954829","display_name":null,"funder_award_id":"61108086","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5818252301","display_name":null,"funder_award_id":"61471073","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7477936820","display_name":null,"funder_award_id":"41404027","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7732039941","display_name":null,"funder_award_id":"61301224","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2424960887.pdf","grobid_xml":"https://content.openalex.org/works/W2424960887.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1969782914","https://openalex.org/W1971015654","https://openalex.org/W1980240972","https://openalex.org/W1991908690","https://openalex.org/W2002202070","https://openalex.org/W2005293878","https://openalex.org/W2024512500","https://openalex.org/W2038854667","https://openalex.org/W2041366018","https://openalex.org/W2052479869","https://openalex.org/W2057067223","https://openalex.org/W2072922144","https://openalex.org/W2097117108","https://openalex.org/W2105159520","https://openalex.org/W2111162236","https://openalex.org/W2112768936","https://openalex.org/W2116967254","https://openalex.org/W2117900395","https://openalex.org/W2118178838","https://openalex.org/W2127628742","https://openalex.org/W2139873797","https://openalex.org/W2153911032","https://openalex.org/W2162654913","https://openalex.org/W2164100228","https://openalex.org/W2188685331","https://openalex.org/W3104730477","https://openalex.org/W4211019631","https://openalex.org/W4229557733","https://openalex.org/W4299110731","https://openalex.org/W4300842605"],"related_works":["https://openalex.org/W1983393909","https://openalex.org/W2040150569","https://openalex.org/W2468095590","https://openalex.org/W2132174924","https://openalex.org/W4394585944","https://openalex.org/W1911540634","https://openalex.org/W2013909972","https://openalex.org/W2887658601","https://openalex.org/W2358318175","https://openalex.org/W4361216139"],"abstract_inverted_index":{"In":[0,104],"this":[1],"paper,":[2],"a":[3],"new":[4,53,93],"framework":[5,54,94],"for":[6,109],"variable":[7],"detectors":[8],"is":[9,88,102],"formulated":[10],"in":[11,139],"order":[12],"to":[13,36,57,64,125],"solve":[14],"different":[15,24],"noise":[16,61,80],"enhanced":[17,62,81],"signal":[18],"detection":[19,41,71],"optimal":[20,60,79],"problems,":[21],"where":[22],"six":[23],"disjoint":[25],"sets":[26],"of":[27,69,83,133],"detector":[28],"and":[29,42,47,72,95,130],"discrete":[30],"vector":[31],"pairs":[32],"are":[33,55,118,123,137],"defined":[34],"according":[35],"the":[37,52,59,66,70,73,78,84,92,96,99,106,114,127,131,134,140],"two":[38,115],"inequality-constraints":[39],"on":[40,51,91],"false-alarm":[43,74],"probabilities.":[44],"Then":[45],"theorems":[46,136],"algorithms":[48],"constructed":[49],"based":[50,90],"presented":[56,124],"search":[58],"solutions":[63],"maximize":[65],"relative":[67],"improvements":[68],"probabilities,":[75],"respectively.":[76],"Further,":[77],"solution":[82],"maximum":[85],"overall":[86],"improvement":[87],"obtained":[89],"relationship":[97],"among":[98],"three":[100],"maximums":[101],"presented.":[103],"addition,":[105],"sufficient":[107],"conditions":[108],"improvability":[110],"or":[111],"non-improvability":[112],"under":[113],"certain":[116],"constraints":[117],"given.":[119],"Finally,":[120],"numerous":[121],"examples":[122],"illustrate":[126],"theoretical":[128],"results":[129],"proofs":[132],"main":[135],"given":[138],"Appendix.":[141]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2016-06-24T00:00:00"}
