{"id":"https://openalex.org/W4379382572","doi":"https://doi.org/10.1109/jsac.2023.3280991","title":"On Second Order Rate Regions for the Static Scalar Gaussian Broadcast Channel","display_name":"On Second Order Rate Regions for the Static Scalar Gaussian Broadcast Channel","publication_year":2023,"publication_date":"2023-06-05","ids":{"openalex":"https://openalex.org/W4379382572","doi":"https://doi.org/10.1109/jsac.2023.3280991"},"language":"en","primary_location":{"id":"doi:10.1109/jsac.2023.3280991","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsac.2023.3280991","pdf_url":null,"source":{"id":"https://openalex.org/S90422530","display_name":"IEEE Journal on Selected Areas in Communications","issn_l":"0733-8716","issn":["0733-8716","1558-0008"],"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 Journal on Selected Areas in Communications","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/A5009609470","display_name":"Daniela Tuninetti","orcid":"https://orcid.org/0000-0003-1880-4798"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Daniela Tuninetti","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of Illinois at Chicago, Chicago, IL, USA"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of Illinois at Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101400866","display_name":"Paul Sheldon","orcid":"https://orcid.org/0009-0009-8778-0794"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul Sheldon","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of Illinois at Chicago, Chicago, IL, USA"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of Illinois at Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018641453","display_name":"Besma Smida","orcid":"https://orcid.org/0000-0001-9601-7322"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Besma Smida","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of Illinois at Chicago, Chicago, IL, USA"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of Illinois at Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079658437","display_name":"Natasha Devroye","orcid":"https://orcid.org/0000-0002-1619-4095"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Natasha Devroye","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of Illinois at Chicago, Chicago, IL, USA"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of Illinois at Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5009609470"],"corresponding_institution_ids":["https://openalex.org/I39422238"],"apc_list":null,"apc_paid":null,"fwci":1.4744,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.81883924,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"41","issue":"7","first_page":"1982","last_page":"1999"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9997000098228455,"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.9997000098228455,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6395102739334106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6338430643081665},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.5535712838172913},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.49279168248176575},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.47388169169425964},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4449962377548218},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4415041506290436},{"id":"https://openalex.org/keywords/code-rate","display_name":"Code rate","score":0.4255933463573456},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.42026960849761963},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4077909588813782},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3706929087638855},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2703953683376312},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2499704360961914},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1547517478466034},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11446136236190796}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6395102739334106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6338430643081665},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.5535712838172913},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.49279168248176575},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.47388169169425964},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4449962377548218},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4415041506290436},{"id":"https://openalex.org/C206468330","wikidata":"https://www.wikidata.org/wiki/Q834373","display_name":"Code rate","level":3,"score":0.4255933463573456},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.42026960849761963},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4077909588813782},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3706929087638855},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2703953683376312},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2499704360961914},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1547517478466034},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11446136236190796},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/jsac.2023.3280991","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsac.2023.3280991","pdf_url":null,"source":{"id":"https://openalex.org/S90422530","display_name":"IEEE Journal on Selected Areas in Communications","issn_l":"0733-8716","issn":["0733-8716","1558-0008"],"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 Journal on Selected Areas in Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5249116575","display_name":null,"funder_award_id":"1900911","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1984165228","https://openalex.org/W1993944611","https://openalex.org/W2008825922","https://openalex.org/W2017379196","https://openalex.org/W2027563534","https://openalex.org/W2036533317","https://openalex.org/W2044180609","https://openalex.org/W2095817220","https://openalex.org/W2104340231","https://openalex.org/W2106864314","https://openalex.org/W2123485355","https://openalex.org/W2135754713","https://openalex.org/W2161991266","https://openalex.org/W2262889796","https://openalex.org/W2276299490","https://openalex.org/W2341471227","https://openalex.org/W2478708596","https://openalex.org/W2522847968","https://openalex.org/W2596284900","https://openalex.org/W2626444157","https://openalex.org/W2779803040","https://openalex.org/W2796123563","https://openalex.org/W2914549166","https://openalex.org/W2963093157","https://openalex.org/W2963829778","https://openalex.org/W2964006718","https://openalex.org/W3008705472","https://openalex.org/W3043195405","https://openalex.org/W3101293504","https://openalex.org/W3101450547","https://openalex.org/W3102217847","https://openalex.org/W3102809470","https://openalex.org/W3134988443","https://openalex.org/W3188610135","https://openalex.org/W3199229030","https://openalex.org/W4221160108","https://openalex.org/W4281898709","https://openalex.org/W4300840296","https://openalex.org/W4308216525","https://openalex.org/W6838276116"],"related_works":["https://openalex.org/W2387449261","https://openalex.org/W2418518962","https://openalex.org/W2963377682","https://openalex.org/W2043159103","https://openalex.org/W2391769344","https://openalex.org/W4297790016","https://openalex.org/W2359260952","https://openalex.org/W2340485316","https://openalex.org/W2025961827","https://openalex.org/W1968626661"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"the":[3,12,45,72,78,92,108,112,127,134,141,145,148,159,165,168,171,181,188,194],"single":[4],"antenna,":[5],"static,":[6],"scalar":[7],"Gaussian":[8],"broadcast":[9],"channel":[10],"in":[11,40,71,104,126,180,184],"finite":[13,93],"blocklength":[14,94],"regime.":[15],"Second":[16],"order":[17,60,139,162,175,185,191],"achievable":[18,61],"and":[19,29,42,68],"converse":[20],"rate":[21,69,89],"regions":[22,62],"are":[23,33,54],"presented.":[24],"Both":[25],"a":[26],"global":[27],"reliability":[28,31,132],"per-user":[30,131],"requirements":[32],"considered.":[34],"The":[35,57],"two-user":[36,128],"case":[37,53,129],"is":[38],"analyzed":[39],"detail,":[41],"generalizations":[43],"to":[44,77,99,121,186],"<inline-formula":[46],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[47],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[48],"<tex-math":[49],"notation=\"LaTeX\">$K$":[50],"</tex-math></inline-formula>":[51],"-user":[52],"also":[55],"discussed.":[56],"largest":[58,160,189],"second":[59,161,174,190],"presented":[63],"here":[64],"require":[65,88],"both":[66],"superposition":[67,97,137],"splitting":[70],"code":[73],"construction,":[74],"as":[75,119,152],"opposed":[76,120],"(infinite":[79],"blocklength,":[80],"first":[81],"order)":[82],"capacity":[83,135,176],"region":[84,192],"which":[85],"does":[86,155],"not":[87,156],"splitting.":[90],"Indeed,":[91],"penalty":[95],"causes":[96],"alone":[98],"under-perform":[100],"other":[101],"coding":[102],"techniques":[103],"some":[105],"parts":[106],"of":[107,167],"region.":[109,163],"In":[110],"addition,":[111],"proposed":[113,195],"scheme":[114],"uses":[115],"joint":[116],"simultaneous":[117],"decoding":[118],"successive":[122],"interference":[123],"cancellation.":[124],"Interestingly,":[125],"with":[130,147,170],"requirements,":[133],"achieving":[136],"encoding":[138],"(with":[140],"codeword":[142],"intended":[143],"for":[144,193],"user":[146,169],"smallest":[149,172],"received":[150],"SNR":[151],"cloud":[153,182],"center)":[154],"necessarily":[157],"give":[158],"Instead,":[164],"message":[166],"point-to-point":[173],"should":[177],"be":[178],"encoded":[179],"center":[183],"obtain":[187],"scheme.":[196]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
