{"id":"https://openalex.org/W2963241458","doi":"https://doi.org/10.1109/itw.2012.6404719","title":"Chernoff bounds for analysis of rate-compatible sphere-packing with numerous transmissions","display_name":"Chernoff bounds for analysis of rate-compatible sphere-packing with numerous transmissions","publication_year":2012,"publication_date":"2012-09-01","ids":{"openalex":"https://openalex.org/W2963241458","doi":"https://doi.org/10.1109/itw.2012.6404719","mag":"2963241458"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2012.6404719","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2012.6404719","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Information Theory Workshop","raw_type":"proceedings-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/A5014438110","display_name":"Tsung\u2010Yi Chen","orcid":"https://orcid.org/0009-0003-5964-6084"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Tsung-Yi Chen","raw_affiliation_strings":["Department of Electrical Engineering, University of California, Los Angeles, Los Angeles, California"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of California, Los Angeles, Los Angeles, California","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033923371","display_name":"D. Divsalar","orcid":"https://orcid.org/0000-0001-9176-3078"},"institutions":[{"id":"https://openalex.org/I1334627681","display_name":"Jet Propulsion Laboratory","ror":"https://ror.org/027k65916","country_code":"US","type":"facility","lineage":["https://openalex.org/I122411786","https://openalex.org/I1334627681","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dariush Divsalar","raw_affiliation_strings":["Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California"],"affiliations":[{"raw_affiliation_string":"Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California","institution_ids":["https://openalex.org/I1334627681"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013185545","display_name":"Richard D. Wesel","orcid":"https://orcid.org/0000-0002-9139-8098"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard D. Wesel","raw_affiliation_strings":["Department of Electrical Engineering, University of California, Los Angeles, Los Angeles, California"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of California, Los Angeles, Los Angeles, California","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014438110"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":2.0767,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.88110805,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"pgit 2","issue":null,"first_page":"477","last_page":"481"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9991000294685364,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9977999925613403,"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/bounding-overwatch","display_name":"Bounding overwatch","score":0.7767785787582397},{"id":"https://openalex.org/keywords/chernoff-bound","display_name":"Chernoff bound","score":0.713605523109436},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6078466176986694},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5314952731132507},{"id":"https://openalex.org/keywords/retransmission","display_name":"Retransmission","score":0.48759666085243225},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4856787919998169},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44346413016319275},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4356454610824585},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4002637267112732},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.22648242115974426}],"concepts":[{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.7767785787582397},{"id":"https://openalex.org/C14539891","wikidata":"https://www.wikidata.org/wiki/Q1070305","display_name":"Chernoff bound","level":2,"score":0.713605523109436},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6078466176986694},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5314952731132507},{"id":"https://openalex.org/C180611318","wikidata":"https://www.wikidata.org/wiki/Q7316902","display_name":"Retransmission","level":3,"score":0.48759666085243225},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4856787919998169},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44346413016319275},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4356454610824585},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4002637267112732},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.22648242115974426},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw.2012.6404719","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2012.6404719","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Information Theory Workshop","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1532722970","https://openalex.org/W1970361567","https://openalex.org/W1990120934","https://openalex.org/W2036971481","https://openalex.org/W2043848026","https://openalex.org/W2095715562","https://openalex.org/W2149685491","https://openalex.org/W2157875630","https://openalex.org/W2167259607","https://openalex.org/W2170448611","https://openalex.org/W3098354041","https://openalex.org/W3175179020"],"related_works":["https://openalex.org/W2132137594","https://openalex.org/W2069783012","https://openalex.org/W2085967955","https://openalex.org/W2580831367","https://openalex.org/W4256335355","https://openalex.org/W3098612666","https://openalex.org/W2138867060","https://openalex.org/W1499116563","https://openalex.org/W2023859141","https://openalex.org/W2182290077"],"abstract_inverted_index":{"Recent":[0],"results":[1],"by":[2,33,164],"Chen":[3,34],"et":[4,8,35,51],"al.":[5,9,36,52],"and":[6,42,89,112,168,187],"Polyanskiy":[7],"explore":[10],"using":[11],"feedback":[12],"to":[13,25,37,59,96,129],"approach":[14],"capacity":[15],"with":[16,66,151],"short":[17],"blocklengths.":[18],"This":[19,82],"paper":[20,83],"explores":[21,84],"Chernoff":[22,85],"bounding":[23],"techniques":[24],"extend":[26],"the":[27,93,116,120,125,130,141,152,162,169,184],"rate-compatible":[28],"sphere-packing":[29],"(RCSP)":[30],"analysis":[31],"proposed":[32],"scenarios":[38],"involving":[39,78,101],"numerous":[40,79],"retransmissions":[41,70],"different":[43],"step":[44],"sizes":[45],"in":[46],"each":[47],"incremental":[48],"retransmission.":[49],"Williamson":[50],"employ":[53],"exact":[54,63],"RCSP":[55,64],"computations":[56,100],"for":[57,87,99,119,143,193],"up":[58],"six":[60,69,104],"transmissions.":[61,105],"However,":[62],"computation":[65],"more":[67,102],"than":[68,103],"becomes":[71],"unwieldy":[72],"because":[73],"of":[74,110,124,133,148,171,183],"joint":[75],"error":[76,94,117],"probabilities":[77,167],"chi-squared":[80],"distributions.":[81],"approaches":[86],"upper":[88,111],"lower":[90,113],"bounds":[91,114,142,163,178],"on":[92,115],"probability":[95,118],"provide":[97,180],"support":[98],"We":[106],"present":[107],"two":[108,172],"versions":[109,126],"two-transmission":[121],"case.":[122],"One":[123],"is":[127,174],"extended":[128],"general":[131,144],"case":[132,170],"m":[134,137,145],"transmissions":[135,173],"where":[136],"\u2265":[138],"1.":[139],"Computing":[140],"requires":[146],"minimization":[147],"exponential":[149],"functions":[150],"auxiliary":[153],"parameters.":[154],"The":[155],"numerical":[156],"results,":[157],"however,":[158],"show":[159],"that":[160],"weakening":[161],"considering":[165],"marginal":[166],"already":[175],"tight.":[176],"These":[177],"also":[179],"good":[181],"estimates":[182],"expected":[185,188],"throughput":[186],"latency,":[189],"which":[190],"are":[191],"useful":[192],"optimization":[194],"purposes.":[195]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}