{"id":"https://openalex.org/W2129847229","doi":"https://doi.org/10.1109/tit.1971.1054671","title":"Capacity of a continuous memoryless channel with feedback","display_name":"Capacity of a continuous memoryless channel with feedback","publication_year":1971,"publication_date":"1971-07-01","ids":{"openalex":"https://openalex.org/W2129847229","doi":"https://doi.org/10.1109/tit.1971.1054671","mag":"2129847229"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1971.1054671","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1971.1054671","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/A5034063717","display_name":"T. Kadota","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"T. Kadota","raw_affiliation_strings":["Bell Telephone Laboratories, Inc., Murray Hill, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Bell Telephone Laboratories, Inc., Murray Hill, NJ, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044198159","display_name":"Moshe Zakai","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"M. Zakai","raw_affiliation_strings":["Bell Telephone Laboratories, Inc., Murray Hill, NJ, USA","Technion-Israel Institute of Technology, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Bell Telephone Laboratories, Inc., Murray Hill, NJ, USA","institution_ids":[]},{"raw_affiliation_string":"Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009331032","display_name":"J. Ziv","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"J. Ziv","raw_affiliation_strings":["Bell Telephone Laboratories, Inc., Murray Hill, NJ, USA","Technion-Israel Institute of Technology, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Bell Telephone Laboratories, Inc., Murray Hill, NJ, USA","institution_ids":[]},{"raw_affiliation_string":"Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034063717"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.2949,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.92082438,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"17","issue":"4","first_page":"372","last_page":"378"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","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"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","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/T12162","display_name":"Cellular Automata and Applications","score":0.996399998664856,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9940999746322632,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.7759358882904053},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.7724738121032715},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4796762466430664},{"id":"https://openalex.org/keywords/shannon\u2013hartley-theorem","display_name":"Shannon\u2013Hartley theorem","score":0.47700929641723633},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47359612584114075},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.43484774231910706},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42976003885269165},{"id":"https://openalex.org/keywords/binary-erasure-channel","display_name":"Binary erasure channel","score":0.42080992460250854},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.20934844017028809},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16474363207817078},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12696751952171326}],"concepts":[{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.7759358882904053},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.7724738121032715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4796762466430664},{"id":"https://openalex.org/C180137035","wikidata":"https://www.wikidata.org/wiki/Q1756194","display_name":"Shannon\u2013Hartley theorem","level":4,"score":0.47700929641723633},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47359612584114075},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.43484774231910706},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42976003885269165},{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.42080992460250854},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.20934844017028809},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16474363207817078},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12696751952171326},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1971.1054671","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1971.1054671","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1544140021","https://openalex.org/W1983003750","https://openalex.org/W2091891040","https://openalex.org/W2142901448","https://openalex.org/W2160062081","https://openalex.org/W2164684058"],"related_works":["https://openalex.org/W2962908977","https://openalex.org/W2125870772","https://openalex.org/W2100017863","https://openalex.org/W3149417209","https://openalex.org/W3127230764","https://openalex.org/W2245063407","https://openalex.org/W4313406088","https://openalex.org/W2129847229","https://openalex.org/W2039975316","https://openalex.org/W1632636812"],"abstract_inverted_index":{"Shannon":[0],"showed":[1],"that":[2,21,54],"the":[3],"capacity":[4,56],"of":[5,49],"a":[6,27,33,42],"discrete":[7],"memoryless":[8,29],"channel":[9,34,43],"can":[10,57],"not":[11,58],"be":[12,24,59],"increased":[13,60],"by":[14,61],"noiseless":[15],"feedback.":[16,62],"It":[17],"has":[18],"been":[19],"conjectured":[20],"this":[22],"should":[23],"true":[25],"for":[26],"continuous":[28],"channel,":[30],"provided":[31],"such":[32,41],"is":[35],"appropriately":[36],"defined.":[37],"We":[38],"precisely":[39],"define":[40],"from":[44],"two":[45],"mathematically":[46],"different":[47],"points":[48],"view":[50],"and":[51],"rigorously":[52],"prove":[53],"its":[55]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}