{"id":"https://openalex.org/W2962908977","doi":"https://doi.org/10.1109/tit.2017.2742498","title":"Asymptotics of Input-Constrained Erasure Channel Capacity","display_name":"Asymptotics of Input-Constrained Erasure Channel Capacity","publication_year":2017,"publication_date":"2017-08-21","ids":{"openalex":"https://openalex.org/W2962908977","doi":"https://doi.org/10.1109/tit.2017.2742498","mag":"2962908977"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2017.2742498","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2742498","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5101418477","display_name":"Yonglong Li","orcid":"https://orcid.org/0000-0001-8211-421X"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yonglong Li","raw_affiliation_strings":["Centre for Memory and Recording Research, University of California at San Diego, La Jolla, CA, USA"],"raw_orcid":"https://orcid.org/0000-0001-8211-421X","affiliations":[{"raw_affiliation_string":"Centre for Memory and Recording Research, University of California at San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000081781","display_name":"Guangyue Han","orcid":"https://orcid.org/0000-0001-9895-5646"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Guangyue Han","raw_affiliation_strings":["Department of Mathematics, The University of Hong Kong, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0001-9895-5646","affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5379,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.86304974,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"64","issue":"1","first_page":"148","last_page":"162"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.998199999332428,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9980000257492065,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9962000250816345,"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/binary-erasure-channel","display_name":"Binary erasure channel","score":0.9106597304344177},{"id":"https://openalex.org/keywords/erasure","display_name":"Erasure","score":0.8834243416786194},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.6890543103218079},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6825014352798462},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6462895274162292},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5933336019515991},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.5428156852722168},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.5142049789428711},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5096609592437744},{"id":"https://openalex.org/keywords/binary-symmetric-channel","display_name":"Binary symmetric channel","score":0.4599643349647522},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4320884346961975},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.42133694887161255},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4033389389514923},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38470691442489624},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3795558214187622},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11344629526138306},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08957827091217041},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.07873675227165222}],"concepts":[{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.9106597304344177},{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.8834243416786194},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.6890543103218079},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6825014352798462},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6462895274162292},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5933336019515991},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.5428156852722168},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.5142049789428711},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5096609592437744},{"id":"https://openalex.org/C173988684","wikidata":"https://www.wikidata.org/wiki/Q863510","display_name":"Binary symmetric channel","level":4,"score":0.4599643349647522},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4320884346961975},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.42133694887161255},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4033389389514923},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38470691442489624},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3795558214187622},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11344629526138306},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08957827091217041},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.07873675227165222},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2017.2742498","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2742498","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1542343170","https://openalex.org/W1565611252","https://openalex.org/W1862031973","https://openalex.org/W1885785701","https://openalex.org/W1886640579","https://openalex.org/W1943431639","https://openalex.org/W1973578387","https://openalex.org/W1975778980","https://openalex.org/W1995875735","https://openalex.org/W2002912642","https://openalex.org/W2024886389","https://openalex.org/W2025503267","https://openalex.org/W2029236670","https://openalex.org/W2052858361","https://openalex.org/W2070432296","https://openalex.org/W2095008514","https://openalex.org/W2098887245","https://openalex.org/W2127323309","https://openalex.org/W2131086249","https://openalex.org/W2141859951","https://openalex.org/W2148986322","https://openalex.org/W2152773357","https://openalex.org/W2158461354","https://openalex.org/W2161037106","https://openalex.org/W2162906694","https://openalex.org/W2163619651","https://openalex.org/W2169071224","https://openalex.org/W2517493423","https://openalex.org/W2551902175","https://openalex.org/W3098001956","https://openalex.org/W3101598514","https://openalex.org/W4206252072","https://openalex.org/W4232753567","https://openalex.org/W4297807572"],"related_works":["https://openalex.org/W2583282232","https://openalex.org/W2028268383","https://openalex.org/W2372190485","https://openalex.org/W2739456797","https://openalex.org/W2538179194","https://openalex.org/W3103136794","https://openalex.org/W2121323749","https://openalex.org/W1801046103","https://openalex.org/W2991327005","https://openalex.org/W3098001956"],"abstract_inverted_index":{"In":[0],"this":[1,116],"paper,":[2,117],"we":[3,10,40,99],"examine":[4],"an":[5,36,149],"input-constrained":[6,150],"erasure":[7,19,29,62,129],"channel":[8,30,63,130,155],"and":[9,58,106],"characterize":[11],"the":[12,18,71,84,97,121,132,140,146,154],"asymptotics":[13,43,113],"of":[14,44,53,86,96,148],"its":[15,32,45,54,65,87,102,109],"capacity":[16,105,125,147],"when":[17,118],"rate":[20,90],"is":[21,156],"low.":[22],"More":[23],"specifically,":[24],"for":[25,59,126],"a":[26,60,127],"general":[27],"memoryless":[28],"with":[31,64,91,120,131],"input":[33,68,134],"supported":[34,69],"on":[35,70,83],"irreducible":[37],"finite-type":[38],"constraint,":[39,135],"derive":[41,108],"partial":[42],"capacity,":[46],"using":[47],"some":[48,94],"series":[49],"expansion":[50],"type":[51],"formula":[52],"mutual":[55,88],"information":[56,89],"rate;":[57],"binary":[61,128],"first-order":[66,103],"Markovian":[67],"<inline-formula":[72],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[73],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[74],"<tex-math":[75],"notation=\"LaTeX\">$(1,":[76],"\\infty":[77],")$":[78],"</tex-math></inline-formula>":[79],"-RLL":[80],"constraint":[81],"based":[82],"concavity":[85],"respect":[92],"to":[93,138],"parameterization":[95],"input,":[98],"numerically":[100],"evaluate":[101],"Markov":[104],"further":[107],"full":[110],"asymptotics.":[111],"The":[112],"obtained":[114],"in":[115],"compared":[119],"recently":[122],"derived":[123],"feedback":[124,143],"same":[133],"enable":[136],"us":[137],"draw":[139],"conclusion":[141],"that":[142],"may":[144],"increase":[145],"channel,":[151],"even":[152],"if":[153],"memoryless.":[157]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
