{"id":"https://openalex.org/W2799169491","doi":"https://doi.org/10.1109/ssp.2018.8450756","title":"Tight MMSE Bounds for the AGN Channel Under KL Divergence Constraints on the Input Distribution","display_name":"Tight MMSE Bounds for the AGN Channel Under KL Divergence Constraints on the Input Distribution","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2799169491","doi":"https://doi.org/10.1109/ssp.2018.8450756","mag":"2799169491"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssp.2018.8450756","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1804.10151","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068591823","display_name":"Michael Fau\u00df","orcid":"https://orcid.org/0000-0003-3665-9758"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Fauss","raw_affiliation_strings":["Technische Universit\u00e4t Darmstadt, Signal Processing Group, Darmstadt, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Darmstadt, Signal Processing Group, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001328562","display_name":"Abdelhak M. Zoubir","orcid":"https://orcid.org/0000-0002-4409-7743"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Abdelhak M. Zoubir","raw_affiliation_strings":["Technische Universit\u00e4t Darmstadt, Signal Processing Group, Darmstadt, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Darmstadt, Signal Processing Group, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066257035","display_name":"Alex Dytso","orcid":"https://orcid.org/0000-0003-0625-5306"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alex Dytso","raw_affiliation_strings":["Dept. of Electrical Engineering, Princeton University, Princeton, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Engineering, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042307561","display_name":"H. Vincent Poor","orcid":"https://orcid.org/0000-0002-2062-131X"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H. Vincent Poor","raw_affiliation_strings":["Dept. of Electrical Engineering, Princeton University, Princeton, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Engineering, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.26,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":4,"citation_normalized_percentile":{"value":0.459353,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":77,"max":79},"biblio":{"volume":null,"issue":null,"first_page":"786","last_page":"790"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9994,"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/T10891","display_name":"Radar Systems and Signal Processing","score":0.9993,"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/divergence","display_name":"Divergence (linguistics)","score":0.7415399},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.5054631}],"concepts":[{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.7415399},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7294563},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.69693977},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.69065565},{"id":"https://openalex.org/C90652560","wikidata":"https://www.wikidata.org/wiki/Q11091747","display_name":"Minimum mean square error","level":3,"score":0.67637026},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.62155616},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6142923},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.6035266},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.54301685},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5299773},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.5054631},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.496892},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.41487685},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2920037},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2642119},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19817552},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14224386},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssp.2018.8450756","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1804.10151","pdf_url":"https://arxiv.org/pdf/1804.10151","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1804.10151","pdf_url":"https://arxiv.org/pdf/1804.10151","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":27,"referenced_works":["https://openalex.org/W1504663295","https://openalex.org/W1507943102","https://openalex.org/W1551360398","https://openalex.org/W1964496517","https://openalex.org/W1965392255","https://openalex.org/W1983913844","https://openalex.org/W2044758295","https://openalex.org/W2063543800","https://openalex.org/W2068728923","https://openalex.org/W2099111195","https://openalex.org/W2111616148","https://openalex.org/W2112207178","https://openalex.org/W2114404076","https://openalex.org/W2122759946","https://openalex.org/W2157638198","https://openalex.org/W2163534628","https://openalex.org/W2164714023","https://openalex.org/W2296319761","https://openalex.org/W2478708596","https://openalex.org/W250076511","https://openalex.org/W2743686344","https://openalex.org/W2751666153","https://openalex.org/W4250589301","https://openalex.org/W4256306574","https://openalex.org/W4256694603","https://openalex.org/W4298032380","https://openalex.org/W4302561155"],"related_works":["https://openalex.org/W3048739257","https://openalex.org/W2963604926","https://openalex.org/W2887774187","https://openalex.org/W2388220555","https://openalex.org/W2199957582","https://openalex.org/W2105321464","https://openalex.org/W2033178790","https://openalex.org/W1665563134","https://openalex.org/W1616881371","https://openalex.org/W1520875569"],"abstract_inverted_index":{"Tight":[0],"bounds":[1,41],"on":[2],"the":[3,9,17,33,40,53,72,88,103],"minimum":[4],"mean":[5],"square":[6],"error":[7],"for":[8],"additive":[10],"Gaussian":[11,27,45],"noise":[12],"channel":[13],"are":[14,42,48,60,108],"derived,":[15],"when":[16],"input":[18],"distribution":[19,29,55],"is":[20,75,83,94],"constrained":[21],"to":[22,25,50,96,102],"be":[23,44],"\u03b5-close":[24],"a":[26,78,98],"reference":[28,54],"in":[30],"terms":[31],"of":[32,52,65],"Kullback-Leibler":[34],"divergence.":[35],"The":[36,68,91],"distributions":[37],"that":[38,51,70,82],"attain":[39],"shown":[43,95],"whose":[46,57],"means":[47],"identical":[49],"and":[56],"covariance":[58],"matrices":[59],"defined":[61],"implicitly":[62],"via":[63],"systems":[64],"matrix":[66],"equations.":[67],"estimator":[69,81],"attains":[71],"upper":[73],"bound":[74,93],"identified":[76],"as":[77],"minimax":[79],"optimal":[80],"robust":[84],"against":[85],"deviations":[86],"from":[87],"assumed":[89],"prior.":[90],"lower":[92],"provide":[97],"potentially":[99],"tighter":[100],"alternative":[101],"Cram\u00e9r-Rao":[104],"bound.":[105],"Both":[106],"properties":[107],"illustrated":[109],"with":[110],"numerical":[111],"examples.":[112]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2799169491","counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3}],"updated_date":"2024-12-10T11:37:05.618892","created_date":"2018-05-07"}