{"id":"https://openalex.org/W2109029791","doi":"https://doi.org/10.1109/tit.2011.2110090","title":"A Note on Capacity Computation for the Discrete Multiple Access Channel","display_name":"A Note on Capacity Computation for the Discrete Multiple Access Channel","publication_year":2011,"publication_date":"2011-03-15","ids":{"openalex":"https://openalex.org/W2109029791","doi":"https://doi.org/10.1109/tit.2011.2110090","mag":"2109029791"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2011.2110090","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2110090","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/A5080944926","display_name":"J\u00f6rg B\u00fchler","orcid":null},"institutions":[{"id":"https://openalex.org/I2800274787","display_name":"Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute","ror":"https://ror.org/02tbr6331","country_code":"DE","type":"facility","lineage":["https://openalex.org/I2800274787","https://openalex.org/I4923324"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Jorg Buhler","raw_affiliation_strings":["Heinrich-Hertz-Lehrstuhl f\u00fcr Informationstheorie und theoretische Informationstechnik, Technische Universit\u00e4t Berlin, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Heinrich-Hertz-Lehrstuhl f\u00fcr Informationstheorie und theoretische Informationstechnik, Technische Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I2800274787","https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044286247","display_name":"Gerhard Wunder","orcid":"https://orcid.org/0009-0001-0850-8816"},"institutions":[{"id":"https://openalex.org/I2800274787","display_name":"Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute","ror":"https://ror.org/02tbr6331","country_code":"DE","type":"facility","lineage":["https://openalex.org/I2800274787","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gerhard Wunder","raw_affiliation_strings":["Fraunhofer German-Sino Lab, Mobile Communications, Berlin, Germany","Fraunhofer Heinrich Hertz Institute (HHI), Berlin, Germany","Mobile Communications, Fraunhofer German-Sino Lab, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer German-Sino Lab, Mobile Communications, Berlin, Germany","institution_ids":[]},{"raw_affiliation_string":"Fraunhofer Heinrich Hertz Institute (HHI), Berlin, Germany","institution_ids":["https://openalex.org/I2800274787"]},{"raw_affiliation_string":"Mobile Communications, Fraunhofer German-Sino Lab, Berlin, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080944926"],"corresponding_institution_ids":["https://openalex.org/I2800274787","https://openalex.org/I4577782"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.14168664,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"57","issue":"4","first_page":"1906","last_page":"1910"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":1.0,"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":1.0,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9990000128746033,"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/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9944000244140625,"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/computation","display_name":"Computation","score":0.7528576254844666},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.7239960432052612},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.6711547374725342},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6559309363365173},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.6290952563285828},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5158459544181824},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4335689842700958},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42587828636169434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4240700304508209},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32132771611213684},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.11746606230735779},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.09561645984649658}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7528576254844666},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.7239960432052612},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.6711547374725342},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6559309363365173},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.6290952563285828},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5158459544181824},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4335689842700958},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42587828636169434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4240700304508209},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32132771611213684},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.11746606230735779},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.09561645984649658},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2011.2110090","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2110090","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"},{"id":"pmh:oai:publica.fraunhofer.de:publica/225164","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/225164","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6499999761581421,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1592482298","https://openalex.org/W2029236670","https://openalex.org/W2104184860","https://openalex.org/W2125417821","https://openalex.org/W2135338259","https://openalex.org/W2137503801","https://openalex.org/W2141183773","https://openalex.org/W2148986322","https://openalex.org/W2155109262","https://openalex.org/W2164673744","https://openalex.org/W2478708596","https://openalex.org/W3173652044","https://openalex.org/W6635532581","https://openalex.org/W6675577806"],"related_works":["https://openalex.org/W2074481494","https://openalex.org/W2808006995","https://openalex.org/W4250156143","https://openalex.org/W4247156967","https://openalex.org/W2046435967","https://openalex.org/W582626623","https://openalex.org/W4231775656","https://openalex.org/W4240940369","https://openalex.org/W4298850403","https://openalex.org/W2808496111"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,83],"computation":[4,93],"of":[5,9,42,52],"the":[6,10,27,40,50,56,91,96],"capacity":[7,92],"region":[8],"discrete":[11,97],"memoryless":[12],"multiple-access":[13],"channel":[14],"(MAC),":[15],"which":[16,39],"is":[17,30,45],"equivalent":[18],"to":[19,49],"solving":[20],"a":[21,60],"difficult":[22],"nonconvex":[23],"optimization":[24],"problem.":[25,105],"In":[26,68],"literature,":[28],"it":[29],"claimed":[31],"that":[32,73],"for":[33,38,65,80,95],"elementary":[34],"MACs,":[35],"i.e.,":[36],"MACs":[37],"size":[41],"output":[43,88],"alphabet":[44],"greater":[46],"or":[47],"equal":[48],"sizes":[51],"all":[53],"input":[54,85],"alphabets,":[55],"Karush-Kuhn-Tucker":[57],"conditions":[58],"provide":[59],"necessary":[61],"and":[62,86,102],"sufficient":[63],"condition":[64],"sum-rate":[66],"optimality.":[67],"this":[69,74],"paper,":[70],"we":[71],"demonstrate":[72],"claim":[75],"does":[76],"not":[77],"hold,":[78],"even":[79],"two-user":[81],"channels":[82],"binary":[84,87],"alphabets.":[89],"Consequently,":[90],"problem":[94],"MAC":[98],"remains":[99],"an":[100],"interesting":[101],"mostly":[103],"unsolved":[104]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}