{"id":"https://openalex.org/W4312845124","doi":"https://doi.org/10.1109/twc.2022.3211454","title":"Joint Convexity of Error Probability in Blocklength and Transmit Power in the Finite Blocklength Regime","display_name":"Joint Convexity of Error Probability in Blocklength and Transmit Power in the Finite Blocklength Regime","publication_year":2022,"publication_date":"2022-10-10","ids":{"openalex":"https://openalex.org/W4312845124","doi":"https://doi.org/10.1109/twc.2022.3211454"},"language":"en","primary_location":{"id":"doi:10.1109/twc.2022.3211454","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2022.3211454","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless 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/A5103139524","display_name":"Yao Zhu","orcid":"https://orcid.org/0000-0002-1839-9780"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Yao Zhu","raw_affiliation_strings":["Chair of Information Theory and Data Analytics, RWTH Aachen University, Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-1839-9780","affiliations":[{"raw_affiliation_string":"Chair of Information Theory and Data Analytics, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068547451","display_name":"Yulin Hu","orcid":"https://orcid.org/0000-0002-1047-9436"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Yulin Hu","raw_affiliation_strings":["Chair of Information Theory and Data Analytics, RWTH Aachen University, Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-1047-9436","affiliations":[{"raw_affiliation_string":"Chair of Information Theory and Data Analytics, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004513352","display_name":"Xiaopeng Yuan","orcid":"https://orcid.org/0000-0002-1888-8680"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Xiaopeng Yuan","raw_affiliation_strings":["Chair of Information Theory and Data Analytics, RWTH Aachen University, Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-1888-8680","affiliations":[{"raw_affiliation_string":"Chair of Information Theory and Data Analytics, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076753154","display_name":"M. Cenk Gursoy","orcid":"https://orcid.org/0000-0002-7352-1013"},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Cenk Gursoy","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, Syracuse University, Syracuse, NY, USA"],"raw_orcid":"https://orcid.org/0000-0002-7352-1013","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Syracuse University, Syracuse, NY, USA","institution_ids":["https://openalex.org/I70983195"]}]},{"author_position":"middle","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":["Department of Electrical Engineering, Princeton University, Princeton, NJ, USA"],"raw_orcid":"https://orcid.org/0000-0002-2062-131X","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072895220","display_name":"Anke Schmeink","orcid":"https://orcid.org/0000-0002-9929-2925"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Anke Schmeink","raw_affiliation_strings":["Chair of Information Theory and Data Analytics, RWTH Aachen University, Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-9929-2925","affiliations":[{"raw_affiliation_string":"Chair of Information Theory and Data Analytics, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9058,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.92000075,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"22","issue":"4","first_page":"2409","last_page":"2423"},"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":0.9995999932289124,"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":0.9980000257492065,"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/joint","display_name":"Joint (building)","score":0.7300025224685669},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.6855511665344238},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.5520362257957458},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5349584221839905},{"id":"https://openalex.org/keywords/probability-of-error","display_name":"Probability of error","score":0.5107336044311523},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43503618240356445},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39388787746429443},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30898725986480713},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.3013401925563812},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.1694367527961731},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16881704330444336},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.06669995188713074}],"concepts":[{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.7300025224685669},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.6855511665344238},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.5520362257957458},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5349584221839905},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.5107336044311523},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43503618240356445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39388787746429443},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30898725986480713},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.3013401925563812},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.1694367527961731},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16881704330444336},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.06669995188713074},{"id":"https://openalex.org/C170154142","wikidata":"https://www.wikidata.org/wiki/Q150737","display_name":"Architectural engineering","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},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/twc.2022.3211454","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2022.3211454","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3510154629","display_name":null,"funder_award_id":"CNS- 2128448","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6440702721","display_name":null,"funder_award_id":"2021YFB2900301","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1540764732","https://openalex.org/W1557711102","https://openalex.org/W1998143554","https://openalex.org/W2036533317","https://openalex.org/W2054607524","https://openalex.org/W2078191478","https://openalex.org/W2079889313","https://openalex.org/W2106864314","https://openalex.org/W2112354652","https://openalex.org/W2318191488","https://openalex.org/W2522604320","https://openalex.org/W2618091330","https://openalex.org/W2626444157","https://openalex.org/W2785684830","https://openalex.org/W2796123563","https://openalex.org/W2878271382","https://openalex.org/W2892482188","https://openalex.org/W2900655085","https://openalex.org/W2908717548","https://openalex.org/W2941118076","https://openalex.org/W2962773624","https://openalex.org/W2963055497","https://openalex.org/W2963077778","https://openalex.org/W2963250023","https://openalex.org/W2963302028","https://openalex.org/W2971758812","https://openalex.org/W2982052395","https://openalex.org/W2998160334","https://openalex.org/W3007267536","https://openalex.org/W3008562374","https://openalex.org/W3013377562","https://openalex.org/W3037154440","https://openalex.org/W3061744087","https://openalex.org/W3089248281","https://openalex.org/W3089504129","https://openalex.org/W3102809470","https://openalex.org/W3103061744","https://openalex.org/W3103439777","https://openalex.org/W3114609582","https://openalex.org/W3114725839","https://openalex.org/W3147392867","https://openalex.org/W3173309095","https://openalex.org/W3175837747","https://openalex.org/W4205793167","https://openalex.org/W4214831608","https://openalex.org/W4220962655","https://openalex.org/W4313350218"],"related_works":["https://openalex.org/W1964872188","https://openalex.org/W2187391117","https://openalex.org/W1981809986","https://openalex.org/W2949367465","https://openalex.org/W2587048717","https://openalex.org/W4235203617","https://openalex.org/W2006359264","https://openalex.org/W3029201158","https://openalex.org/W4794847","https://openalex.org/W2056357792"],"abstract_inverted_index":{"To":[0],"support":[1],"ultra-reliable":[2],"and":[3,45,65,87,101,132,178],"low-latency":[4],"services":[5],"for":[6,113],"mission-critical":[7],"applications,":[8],"transmissions":[9,32],"are":[10,33,52],"usually":[11],"carried":[12],"via":[13],"short":[14],"blocklength":[15,22,29,64,100],"codes,":[16],"i.e.,":[17],"in":[18,72,139,162,168],"the":[19,27,40,43,55,73,76,89,93,125,135,140,148,151,157,180,184],"so-called":[20],"finite":[21],"(FBL)":[23],"regime.":[24],"Different":[25],"from":[26],"infinite":[28],"regime":[30],"where":[31],"assumed":[34],"to":[35,99,116,128,188],"be":[36],"arbitrarily":[37],"reliable":[38],"at":[39],"Shannon\u2019s":[41],"capacity,":[42],"reliability":[44],"capacity":[46],"performances":[47],"of":[48,92,107,150,182],"an":[49],"FBL":[50,77,94],"transmission":[51],"impacted":[53],"by":[54,154],"coding":[56,62],"blocklength.":[57],"The":[58],"relationship":[59],"among":[60],"reliability,":[61],"rate,":[63],"channel":[66],"quality":[67],"has":[68],"recently":[69],"been":[70],"characterized":[71],"literature,":[74],"considering":[75],"performance":[78,120],"model.":[79],"In":[80],"this":[81,85],"paper,":[82],"we":[83,123,173],"follow":[84],"model,":[86],"prove":[88],"joint":[90,126,136,158,185],"convexity":[91,127,159,186],"error":[95],"probability":[96],"with":[97,142],"respect":[98],"transmit":[102],"power":[103],"within":[104],"a":[105,110],"region":[106],"interest,":[108],"as":[109,165,167],"key":[111],"enabler":[112],"designing":[114],"systems":[115],"achieve":[117],"globally":[118],"optimal":[119],"levels.":[121],"Moreover,":[122],"apply":[124],"general":[129],"use":[130],"cases":[131],"efficiently":[133],"solve":[134],"optimization":[137],"problem":[138],"setting":[141],"multiple":[143],"users.":[144],"We":[145],"also":[146],"extend":[147],"applicability":[149],"proposed":[152],"approach":[153],"proving":[155],"that":[156],"still":[160],"holds":[161],"fading":[163],"channels,":[164],"well":[166],"relaying":[169],"networks.":[170],"Via":[171],"simulations,":[172],"validate":[174],"our":[175],"analytical":[176],"results":[177],"demonstrate":[179],"advantage":[181],"leveraging":[183],"compared":[187],"other":[189],"commonly-applied":[190],"approaches.":[191]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}