{"id":"https://openalex.org/W2115391471","doi":"https://doi.org/10.1109/tit.1971.1054602","title":"Lower bounds on reliability functions of variable-length nonsystematic convolutional codes for channels with noiseless feedback","display_name":"Lower bounds on reliability functions of variable-length nonsystematic convolutional codes for channels with noiseless feedback","publication_year":1971,"publication_date":"1971-03-01","ids":{"openalex":"https://openalex.org/W2115391471","doi":"https://doi.org/10.1109/tit.1971.1054602","mag":"2115391471"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1971.1054602","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1971.1054602","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/A5045680411","display_name":"R. J. F. Fang","orcid":"https://orcid.org/0000-0002-6895-7429"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"R. Fang","raw_affiliation_strings":["Comsat Laboratories, Clarksburg, MD, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Comsat Laboratories, Clarksburg, MD, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5045680411"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3586,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.82669151,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"17","issue":"2","first_page":"161","last_page":"171"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9994000196456909,"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/T12029","display_name":"DNA and Biological Computing","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5581835508346558},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5317702889442444},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5160045623779297},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5135079026222229},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5084768533706665},{"id":"https://openalex.org/keywords/convolutional-code","display_name":"Convolutional code","score":0.4820595681667328},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.4790155291557312},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46269354224205017},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4368927776813507},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.4301873445510864},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38033854961395264},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09010931849479675},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07311305403709412},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.0593717098236084}],"concepts":[{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5581835508346558},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5317702889442444},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5160045623779297},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5135079026222229},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5084768533706665},{"id":"https://openalex.org/C157899210","wikidata":"https://www.wikidata.org/wiki/Q1395022","display_name":"Convolutional code","level":3,"score":0.4820595681667328},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.4790155291557312},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46269354224205017},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4368927776813507},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.4301873445510864},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38033854961395264},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09010931849479675},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07311305403709412},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0593717098236084},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1971.1054602","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1971.1054602","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":[{"id":"https://metadata.un.org/sdg/16","score":0.7200000286102295,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1980386196","https://openalex.org/W1985107544","https://openalex.org/W1991133427","https://openalex.org/W1993944611","https://openalex.org/W2040877654","https://openalex.org/W2115827190","https://openalex.org/W2122900719","https://openalex.org/W2126680423","https://openalex.org/W2169745168","https://openalex.org/W2989448192","https://openalex.org/W3151409487"],"related_works":["https://openalex.org/W2610189143","https://openalex.org/W2159424856","https://openalex.org/W3203142394","https://openalex.org/W2161474341","https://openalex.org/W4302615923","https://openalex.org/W3013085049","https://openalex.org/W1974101135","https://openalex.org/W2136831313","https://openalex.org/W1968289971","https://openalex.org/W4300588357"],"abstract_inverted_index":{"A":[0],"variable-length,":[1],"nonsystematic,":[2],"convolutional":[3,43,103],"encoding,":[4],"and":[5,140],"successive-decoding":[6],"scheme":[7],"is":[8,26,83,97,144],"devised":[9],"to":[10,99],"establish":[11],"significant":[12],"improvements":[13],"in":[14],"the":[15,47,51,58,107,125,145,151],"reliability":[16,48,109],"functions":[17],"of":[18,50,79],"memoryless":[19,34],"channels":[20,35],"with":[21,36,93],"noiseless":[22,37,94],"decision":[23],"feedback.":[24],"It":[25],"shown":[27,86],"that,":[28,87],"for":[29,64,88,120],"any":[30],"but":[31],"pathological":[32],"discrete":[33],"feedback,":[38],"there":[39],"exists":[40],"a":[41,76,101],"variable-length":[42,102],"code":[44,104],"such":[45,105],"that":[46,106],"function":[49,110],"channel":[52,59,92,108,126],"can":[53,111],"be":[54,112],"bounded":[55,113],"below":[56,114],"by":[57,115],"capacity":[60,127],"<tex":[61,70,116,128,133,141],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[62,71,117,129,134,142],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">C</tex>":[63,72],"all":[65,121],"transmission":[66],"rates":[67,122],"less":[68,123],"than":[69,124],".":[73],"By":[74],"employing":[75],"modified":[77],"version":[78],"this":[80],"scheme,":[81],"it":[82,96],"also":[84],"constructively":[85],"an":[89],"additive-white-Gaussian-noise":[90],"(AWGN)":[91],"feedback":[95],"possible":[98],"find":[100],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\\alpha_0":[118,135],"c_{infty}</tex>":[119],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">C_{\\infty}</tex>":[130],",":[131],"where":[132],"=":[136],"max":[137],"(1,":[138],"\\gamma/2)</tex>":[139],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\\gamma</tex>":[143],"maximum":[146],"allowable":[147],"expected-peak-to-expected-average-power":[148],"ratio":[149],"at":[150],"transmitter.":[152]},"counts_by_year":[{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
