{"id":"https://openalex.org/W2164601573","doi":"https://doi.org/10.1109/tit.2011.2165819","title":"A Lower Bound on the Capacity of Wireless Erasure Networks","display_name":"A Lower Bound on the Capacity of Wireless Erasure Networks","publication_year":2011,"publication_date":"2011-10-01","ids":{"openalex":"https://openalex.org/W2164601573","doi":"https://doi.org/10.1109/tit.2011.2165819","mag":"2164601573"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2011.2165819","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2165819","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/A5024988291","display_name":"Rayyan G. Jaber","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rayyan G. Jaber","raw_affiliation_strings":["Wireless Networking and Communications Group (WNCG), Electrical and Computer Engineering Department, University of Texas, Austin, Austin, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wireless Networking and Communications Group (WNCG), Electrical and Computer Engineering Department, University of Texas, Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042833857","display_name":"Jeffrey G. Andrews","orcid":"https://orcid.org/0000-0002-9115-5088"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jeffrey G. Andrews","raw_affiliation_strings":["Wireless Networking and Communications Group (WNCG), Electrical and Computer Engineering Department, University of Texas, Austin, Austin, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wireless Networking and Communications Group (WNCG), Electrical and Computer Engineering Department, University of Texas, Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I86519309"],"apc_list":null,"apc_paid":null,"fwci":1.0733,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.80743902,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"57","issue":"10","first_page":"6502","last_page":"6513"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":1.0,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":1.0,"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/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9994999766349792,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9980000257492065,"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/erasure","display_name":"Erasure","score":0.8504899740219116},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6456513404846191},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5290424227714539},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5210520625114441},{"id":"https://openalex.org/keywords/binary-erasure-channel","display_name":"Binary erasure channel","score":0.48391276597976685},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47850266098976135},{"id":"https://openalex.org/keywords/wireless-network","display_name":"Wireless network","score":0.4749614894390106},{"id":"https://openalex.org/keywords/wireless-ad-hoc-network","display_name":"Wireless ad hoc network","score":0.4691528081893921},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.46506932377815247},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.41771283745765686},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4108680188655853},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.40747591853141785},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3745632767677307},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.36793649196624756},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36294451355934143},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.33029860258102417},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.28398847579956055},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.15037164092063904},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10126134753227234}],"concepts":[{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.8504899740219116},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6456513404846191},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5290424227714539},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5210520625114441},{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.48391276597976685},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47850266098976135},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.4749614894390106},{"id":"https://openalex.org/C94523657","wikidata":"https://www.wikidata.org/wiki/Q4085781","display_name":"Wireless ad hoc network","level":3,"score":0.4691528081893921},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.46506932377815247},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.41771283745765686},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4108680188655853},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.40747591853141785},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3745632767677307},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.36793649196624756},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36294451355934143},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.33029860258102417},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.28398847579956055},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.15037164092063904},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10126134753227234},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2011.2165819","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2165819","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":40,"referenced_works":["https://openalex.org/W39625332","https://openalex.org/W120871837","https://openalex.org/W595280405","https://openalex.org/W630423399","https://openalex.org/W1479863711","https://openalex.org/W1552861460","https://openalex.org/W1693349811","https://openalex.org/W1918250237","https://openalex.org/W1974811277","https://openalex.org/W2002649876","https://openalex.org/W2019635018","https://openalex.org/W2079313517","https://openalex.org/W2099111195","https://openalex.org/W2099753677","https://openalex.org/W2105831729","https://openalex.org/W2106403318","https://openalex.org/W2109988226","https://openalex.org/W2110225498","https://openalex.org/W2111621260","https://openalex.org/W2114927595","https://openalex.org/W2118166339","https://openalex.org/W2121543020","https://openalex.org/W2123350510","https://openalex.org/W2126129315","https://openalex.org/W2132748039","https://openalex.org/W2132987440","https://openalex.org/W2135356058","https://openalex.org/W2137775453","https://openalex.org/W2138928022","https://openalex.org/W2149959815","https://openalex.org/W2161725792","https://openalex.org/W2162180430","https://openalex.org/W2164562671","https://openalex.org/W2973113915","https://openalex.org/W3100500956","https://openalex.org/W3148190347","https://openalex.org/W4285719527","https://openalex.org/W6601652240","https://openalex.org/W6675043791","https://openalex.org/W6767685428"],"related_works":["https://openalex.org/W2962908977","https://openalex.org/W2372190485","https://openalex.org/W1561234362","https://openalex.org/W2100017863","https://openalex.org/W2067196392","https://openalex.org/W2140357074","https://openalex.org/W2994883802","https://openalex.org/W2154255325","https://openalex.org/W2113506102","https://openalex.org/W2126129315"],"abstract_inverted_index":{"In":[0,195],"this":[1,196],"paper,":[2],"a":[3,58,82,147,163],"lower":[4,99,129],"bound":[5,100,130],"on":[6],"the":[7,21,32,108,128,139,144,155,166,175,178],"capacity":[8,110],"of":[9,101,149],"wireless":[10],"ad":[11],"hoc":[12],"erasure":[13,79,122,157,167,179,206],"networks":[14],"is":[15,41,75,111,136,142,146,160,193,199],"derived":[16,112],"in":[17,20,31,189,205],"closed":[18],"form":[19],"case":[22,176],"where":[23,177],"n":[24],"nodes":[25,54],"are":[26,45,118,126,181],"uniformly":[27],"and":[28,40,154,159],"independently":[29],"distributed":[30],"unit":[33],"area":[34],"square.":[35],"It":[36],"holds":[37],"almost":[38],"surely":[39],"asymptotically":[42],"tight.":[43],"Nodes":[44],"assumed":[46],"to":[47,65,187],"have":[48],"fixed":[49],"transmit":[50,89],"power;":[51],"hence,":[52],"two":[53],"should":[55],"be":[56],"within":[57],"specified":[59],"distance":[60],"r":[61,150],"<sub":[62,103,132,151],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[63,104,133,152],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sub>":[64,105,134,153],"overcome":[66],"noise.":[67],"With":[68],"interference":[69],"determining":[70],"outages,":[71],"each":[72,86],"transmitter-receiver":[73],"pair":[74],"modeled":[76],"as":[77],"an":[78],"channel":[80],"with":[81,120,172],"broadcast":[83,140],"constraint,":[84],"i.e.,":[85],"node":[87],"can":[88],"only":[90],"one":[91],"signal":[92],"across":[93,115],"all":[94],"its":[95],"outgoing":[96],"links.":[97],"A":[98],"\u0398(nr":[102],")":[106],"for":[107,184],"network":[109,209],"when":[113],"erasures":[114,125],"distinct":[116],"links":[117],"independent,":[119],"constant":[121,164],"probabilities.":[123],"When":[124],"correlated,":[127],"\u0398(1/(r":[131],"))":[135],"proved.":[137],"If":[138],"constraint":[141],"relaxed,":[143],"gain":[145],"function":[148],"link":[156],"probabilities,":[158],"at":[161],"most":[162],"if":[165],"probabilities":[168,180,207],"grow":[169],"sufficiently":[170],"large":[171],"n.":[173],"Finally,":[174],"random":[182],"variables,":[183],"example":[185],"due":[186],"randomness":[188],"geometry":[190],"or":[191],"channels,":[192],"analyzed.":[194],"setting,":[197],"it":[198],"shown":[200],"somewhat":[201],"surprisingly":[202],"that":[203],"variability":[204],"increases":[208],"capacity.":[210]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}