{"id":"https://openalex.org/W2100364607","doi":"https://doi.org/10.1109/isit.2009.5205270","title":"Ergodic interference alignment","display_name":"Ergodic interference alignment","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2100364607","doi":"https://doi.org/10.1109/isit.2009.5205270","mag":"2100364607"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2009.5205270","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205270","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/169563","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018265919","display_name":"Bobak Nazer","orcid":"https://orcid.org/0000-0002-0485-5319"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bobak Nazer","raw_affiliation_strings":["EECS Department, University of California, Berkeley, Berkeley, CA, USA","University of California, Berkeley, EECS Department, 94720, USA"],"affiliations":[{"raw_affiliation_string":"EECS Department, University of California, Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California, Berkeley, EECS Department, 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063528341","display_name":"Michael Gastpar","orcid":"https://orcid.org/0000-0002-5499-5336"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Gastpar","raw_affiliation_strings":["EECS Department, University of California, Berkeley, Berkeley, CA, USA","University of California, Berkeley, EECS Department, 94720, USA"],"affiliations":[{"raw_affiliation_string":"EECS Department, University of California, Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California, Berkeley, EECS Department, 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049553679","display_name":"Syed A. Jafar","orcid":"https://orcid.org/0000-0003-2038-2977"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Syed Ali Jafar","raw_affiliation_strings":["EECS Department, University of California, Irvine, Irvine, CA, USA","University of California, Irvine, EECS Department, USA"],"affiliations":[{"raw_affiliation_string":"EECS Department, University of California, Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]},{"raw_affiliation_string":"University of California, Irvine, EECS Department, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088120102","display_name":"Sriram Vishwanath","orcid":"https://orcid.org/0000-0003-3112-4885"},"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":"Sriram Vishwanath","raw_affiliation_strings":["EECS Department, University of Texas, Austin, Austin, TX, USA","University of Texas, Austin, ECE Department, USA"],"affiliations":[{"raw_affiliation_string":"EECS Department, University of Texas, Austin, Austin, TX, USA","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"University of Texas, Austin, ECE Department, USA","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5018265919"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":25.6043,"has_fulltext":false,"cited_by_count":111,"citation_normalized_percentile":{"value":0.99756372,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"1769","last_page":"1773"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998999834060669,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998999834060669,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"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":0.9998000264167786,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.7541160583496094},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.7410526275634766},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.6782722473144531},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.6772284507751465},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.6259000301361084},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5893124938011169},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5316401720046997},{"id":"https://openalex.org/keywords/co-channel-interference","display_name":"Co-channel interference","score":0.4869450330734253},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4853486120700836},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4821705222129822},{"id":"https://openalex.org/keywords/zero-forcing-precoding","display_name":"Zero-forcing precoding","score":0.4708808362483978},{"id":"https://openalex.org/keywords/single-antenna-interference-cancellation","display_name":"Single antenna interference cancellation","score":0.4229482114315033},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3471527695655823},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.3273557722568512},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29749706387519836},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20412677526474},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.18786057829856873},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.11824309825897217},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10505971312522888},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07405403256416321}],"concepts":[{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.7541160583496094},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.7410526275634766},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.6782722473144531},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.6772284507751465},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.6259000301361084},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5893124938011169},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5316401720046997},{"id":"https://openalex.org/C6532628","wikidata":"https://www.wikidata.org/wiki/Q5137431","display_name":"Co-channel interference","level":4,"score":0.4869450330734253},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4853486120700836},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4821705222129822},{"id":"https://openalex.org/C155437304","wikidata":"https://www.wikidata.org/wiki/Q8069444","display_name":"Zero-forcing precoding","level":5,"score":0.4708808362483978},{"id":"https://openalex.org/C83204339","wikidata":"https://www.wikidata.org/wiki/Q7523915","display_name":"Single antenna interference cancellation","level":3,"score":0.4229482114315033},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3471527695655823},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.3273557722568512},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29749706387519836},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20412677526474},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.18786057829856873},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.11824309825897217},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10505971312522888},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07405403256416321},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2009.5205270","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205270","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:infoscience.tind.io:169563","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/169563","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://infoscience.epfl.ch/record/169563","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.tind.io:169563","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/169563","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://infoscience.epfl.ch/record/169563","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W1549664537","https://openalex.org/W1974370252","https://openalex.org/W1979408141","https://openalex.org/W2010645529","https://openalex.org/W2028085928","https://openalex.org/W2030408876","https://openalex.org/W2061444540","https://openalex.org/W2062610219","https://openalex.org/W2068118751","https://openalex.org/W2100842176","https://openalex.org/W2106549261","https://openalex.org/W2108016639","https://openalex.org/W2110046132","https://openalex.org/W2110115072","https://openalex.org/W2111288457","https://openalex.org/W2119187956","https://openalex.org/W2120365147","https://openalex.org/W2121695154","https://openalex.org/W2125865271","https://openalex.org/W2130781639","https://openalex.org/W2133739890","https://openalex.org/W2136180028","https://openalex.org/W2136608712","https://openalex.org/W2139203230","https://openalex.org/W2140227342","https://openalex.org/W2146390985","https://openalex.org/W2148402849","https://openalex.org/W2151027523","https://openalex.org/W2154162775","https://openalex.org/W2157664701","https://openalex.org/W2157989362","https://openalex.org/W2159159660","https://openalex.org/W2163384347","https://openalex.org/W2168448439","https://openalex.org/W2171681635","https://openalex.org/W2293033173","https://openalex.org/W2541709552","https://openalex.org/W2949569372","https://openalex.org/W2950813095","https://openalex.org/W2963676394","https://openalex.org/W3102116220","https://openalex.org/W3104606015","https://openalex.org/W3104985379","https://openalex.org/W3105984219","https://openalex.org/W3106263997"],"related_works":["https://openalex.org/W2076234844","https://openalex.org/W2117519826","https://openalex.org/W1991457479","https://openalex.org/W1984684938","https://openalex.org/W1723464215","https://openalex.org/W2081782079","https://openalex.org/W1965847020","https://openalex.org/W2159662439","https://openalex.org/W2548856584","https://openalex.org/W2127515952"],"abstract_inverted_index":{"Consider":[0],"a":[1,16,26,34,121,127,139],"K-user":[2],"interference":[3],"channel":[4,51,124,129],"with":[5],"timevarying":[6],"fading.":[7],"At":[8],"any":[9,97],"particular":[10],"time,":[11],"each":[12,30,85],"receiver":[13,69],"will":[14],"see":[15,71],"signal":[17],"from":[18,53],"most":[19],"transmitters.":[20],"The":[21],"standard":[22],"approach":[23],"to":[24,37,59,87,104,117],"such":[25],"scenario":[27],"results":[28],"in":[29,143],"transmitter-receiver":[31],"pair":[32],"achieving":[33],"rate":[35,110,136],"proportional":[36],"1/K":[38],"the":[39,50,68,76,108,114,134,144,152],"single":[40],"user":[41,86],"rate.":[42],"However,":[43],"given":[44],"two":[45,66],"well":[46],"chosen":[47],"time":[48],"indices,":[49],"coefficients":[52],"interfering":[54],"users":[55],"can":[56,70],"be":[57],"made":[58],"exactly":[60],"cancel.":[61],"By":[62],"adding":[63],"up":[64],"these":[65],"signals,":[67],"an":[72],"interference-free":[73,93,109],"version":[74],"of":[75],"desired":[77],"transmission.":[78],"We":[79,119],"show":[80,105],"that":[81,106],"this":[82],"technique":[83],"allows":[84],"achieve":[88],"at":[89,96],"least":[90],"half":[91,107],"its":[92],"ergodic":[94,153],"capacity":[95,154],"SNR.":[98],"Prior":[99],"work":[100],"was":[101,111],"only":[102],"able":[103],"achievable":[112,135],"as":[113],"SNR":[115],"tended":[116],"infinity.":[118],"examine":[120],"finite":[122,145],"field":[123,146],"model":[125],"and":[126],"Gaussian":[128],"model.":[130],"In":[131],"both":[132],"cases,":[133],"region":[137],"has":[138],"simple":[140],"description":[141],"and,":[142],"case,":[147],"we":[148],"prove":[149],"it":[150],"is":[151],"region.":[155]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":21}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
