{"id":"https://openalex.org/W2123973657","doi":"https://doi.org/10.1109/isit.2009.5205264","title":"MIMO compute-and-forward","display_name":"MIMO compute-and-forward","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2123973657","doi":"https://doi.org/10.1109/isit.2009.5205264","mag":"2123973657"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2009.5205264","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205264","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/169585","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079449286","display_name":"Jiening Zhan","orcid":null},"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":"Jiening Zhan","raw_affiliation_strings":["Wireless Foundations Center, EECS Department, University of California, Berkeley, CA, USA","Wireless Foundations Center, EECS Department, University of California, Berkeley, 94709, USA"],"affiliations":[{"raw_affiliation_string":"Wireless Foundations Center, EECS Department, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Wireless Foundations Center, EECS Department, University of California, Berkeley, 94709, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","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":false,"raw_author_name":"Bobak Nazer","raw_affiliation_strings":["Wireless Foundations Center, EECS Department, University of California, Berkeley, CA, USA","Wireless Foundations Center, EECS Department, University of California, Berkeley, 94709, USA"],"affiliations":[{"raw_affiliation_string":"Wireless Foundations Center, EECS Department, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Wireless Foundations Center, EECS Department, University of California, Berkeley, 94709, 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":["Wireless Foundations Center, EECS Department, University of California, Berkeley, CA, USA","Wireless Foundations Center, EECS Department, University of California, Berkeley, 94709, USA"],"affiliations":[{"raw_affiliation_string":"Wireless Foundations Center, EECS Department, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Wireless Foundations Center, EECS Department, University of California, Berkeley, 94709, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029983697","display_name":"Uri Erez","orcid":"https://orcid.org/0000-0001-7720-1116"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Uri Erez","raw_affiliation_strings":["Department of Electrical Engineering-Systems, Tel-Aviv University, Tel-Aviv, Israel","Department of Electrical Engineering-Systems, Tel Aviv University, 69978, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering-Systems, Tel-Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Department of Electrical Engineering-Systems, Tel Aviv University, 69978, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5079449286"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":6.8884,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.97102734,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"2848","last_page":"2852"},"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9993000030517578,"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9984999895095825,"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/relay","display_name":"Relay","score":0.6832225918769836},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6695897579193115},{"id":"https://openalex.org/keywords/multiplexing","display_name":"Multiplexing","score":0.668662428855896},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.667698860168457},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.5844895839691162},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.5463762879371643},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5381032228469849},{"id":"https://openalex.org/keywords/single-antenna-interference-cancellation","display_name":"Single antenna interference cancellation","score":0.462595134973526},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4267018437385559},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.420075386762619},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.39392656087875366},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2962512969970703},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23312273621559143},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.16776716709136963},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.08898267149925232}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.6832225918769836},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6695897579193115},{"id":"https://openalex.org/C19275194","wikidata":"https://www.wikidata.org/wiki/Q222903","display_name":"Multiplexing","level":2,"score":0.668662428855896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.667698860168457},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.5844895839691162},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.5463762879371643},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5381032228469849},{"id":"https://openalex.org/C83204339","wikidata":"https://www.wikidata.org/wiki/Q7523915","display_name":"Single antenna interference cancellation","level":3,"score":0.462595134973526},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4267018437385559},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.420075386762619},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.39392656087875366},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2962512969970703},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23312273621559143},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.16776716709136963},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.08898267149925232},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2009.5205264","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205264","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:CiteSeerX.psu:10.1.1.152.4103","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.152.4103","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.eecs.berkeley.edu/~bobak/jz_bn_mg_ue_isit09.pdf","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:169585","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/169585","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:169585","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/169585","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1512015702","https://openalex.org/W1560302807","https://openalex.org/W1612188034","https://openalex.org/W1997834106","https://openalex.org/W2059942056","https://openalex.org/W2098116328","https://openalex.org/W2105831729","https://openalex.org/W2109053700","https://openalex.org/W2123890708","https://openalex.org/W2136960893","https://openalex.org/W2140227342","https://openalex.org/W2147355810","https://openalex.org/W2149615851","https://openalex.org/W2156274800","https://openalex.org/W2160466112","https://openalex.org/W2165943096","https://openalex.org/W2171353861","https://openalex.org/W2952359005","https://openalex.org/W2952682270","https://openalex.org/W2952966314","https://openalex.org/W2953089920","https://openalex.org/W6683996515"],"related_works":["https://openalex.org/W2059045613","https://openalex.org/W4250215096","https://openalex.org/W2561242965","https://openalex.org/W2119209917","https://openalex.org/W2463175948","https://openalex.org/W2145047504","https://openalex.org/W2006290459","https://openalex.org/W2465954300","https://openalex.org/W2159179523","https://openalex.org/W2101042359"],"abstract_inverted_index":{"In":[0,23],"many":[1],"network":[2,9,136],"communication":[3],"scenarios,":[4],"a":[5],"relay":[6,135],"in":[7,108],"the":[8,20,35,39,43,68,85,89,93,101,113,120,132],"may":[10],"only":[11],"need":[12],"to":[13,48,67,80,87,110,131],"recover":[14,49],"and":[15,137],"retransmit":[16],"an":[17,50],"equation":[18,51],"of":[19,42,98,116],"transmitted":[21,102],"messages.":[22],"previous":[24],"work,":[25],"it":[26,76],"has":[27],"been":[28],"shown":[29],"that":[30,75,107],"if":[31,119],"each":[32],"transmitter":[33],"employs":[34],"same":[36],"lattice":[37],"code,":[38],"interference":[40],"structure":[41],"channel":[44,90,123],"can":[45],"be":[46],"exploited":[47],"much":[52],"more":[53],"efficiently":[54],"than":[55],"possible":[56],"with":[57],"standard":[58],"multiple-access":[59],"strategies.":[60,143],"Here,":[61],"we":[62,127],"generalize":[63],"this":[64],"compute-and-forward":[65,117],"framework":[66],"multiple":[69],"antenna":[70],"setting.":[71],"Our":[72],"results":[73],"show":[74],"is":[77],"often":[78],"beneficial":[79],"use":[81],"extra":[82],"antennas":[83],"at":[84],"receiver":[86],"rotate":[88],"coefficients":[91],"towards":[92],"nearest":[94],"integer":[95],"vector":[96],"instead":[97],"separating":[99],"out":[100],"signals.":[103],"We":[104],"also":[105],"demonstrate":[106],"contrast":[109],"classical":[111],"strategies,":[112],"multiplexing":[114],"gain":[115],"increases":[118],"transmitters":[121],"have":[122],"state":[124],"information.":[125],"Finally,":[126],"apply":[128],"our":[129],"scheme":[130],"two":[133],"way":[134],"observe":[138],"performance":[139],"gains":[140],"over":[141],"traditional":[142]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}