{"id":"https://openalex.org/W2153444842","doi":"https://doi.org/10.1109/acssc.2008.5074376","title":"Degrees of freedom of the K user MIMO interference channel","display_name":"Degrees of freedom of the K user MIMO interference channel","publication_year":2008,"publication_date":"2008-10-01","ids":{"openalex":"https://openalex.org/W2153444842","doi":"https://doi.org/10.1109/acssc.2008.5074376","mag":"2153444842"},"language":"en","primary_location":{"id":"doi:10.1109/acssc.2008.5074376","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2008.5074376","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 42nd Asilomar Conference on Signals, Systems and Computers","raw_type":"proceedings-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/A5077292579","display_name":"Tiangao Gou","orcid":null},"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":"Tiangao Gou","raw_affiliation_strings":["Electrical Engineering and Computer Science, University of California, Irvine, Irvine, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science, University of California, Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"last","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 A. Jafar","raw_affiliation_strings":["Electrical Engineering and Computer Science, University of California, Irvine, Irvine, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science, University of California, Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":12.2103,"has_fulltext":false,"cited_by_count":70,"citation_normalized_percentile":{"value":0.98965926,"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":"126","last_page":"130"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","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/T10148","display_name":"Advanced MIMO Systems Optimization","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/T10069","display_name":"Antenna Design and Analysis","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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":0.9983000159263611,"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/mimo","display_name":"MIMO","score":0.8117121458053589},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.8020204901695251},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.7093703746795654},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.6575272679328918},{"id":"https://openalex.org/keywords/interference-alignment","display_name":"Interference alignment","score":0.6113400459289551},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5976922512054443},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5746922492980957},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5397189259529114},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4814014434814453},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.47396132349967957},{"id":"https://openalex.org/keywords/co-channel-interference","display_name":"Co-channel interference","score":0.4604504704475403},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4466957747936249},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4328674077987671},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4246918261051178},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.40598198771476746},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.3455461859703064},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25935330986976624},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23270532488822937},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05296924710273743}],"concepts":[{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.8117121458053589},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.8020204901695251},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.7093703746795654},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.6575272679328918},{"id":"https://openalex.org/C2982854036","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference alignment","level":4,"score":0.6113400459289551},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5976922512054443},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5746922492980957},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5397189259529114},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4814014434814453},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.47396132349967957},{"id":"https://openalex.org/C6532628","wikidata":"https://www.wikidata.org/wiki/Q5137431","display_name":"Co-channel interference","level":4,"score":0.4604504704475403},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4466957747936249},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4328674077987671},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4246918261051178},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40598198771476746},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.3455461859703064},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25935330986976624},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23270532488822937},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05296924710273743},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acssc.2008.5074376","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2008.5074376","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 42nd Asilomar Conference on Signals, Systems and Computers","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.726.8681","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.726.8681","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://newport.eecs.uci.edu/%7Esyed/papers/c60.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.8399999737739563,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1979408141","https://openalex.org/W2012454404","https://openalex.org/W2105147943","https://openalex.org/W2113078979","https://openalex.org/W2116406049","https://openalex.org/W2155288000","https://openalex.org/W2162370583","https://openalex.org/W2162758144","https://openalex.org/W2165962863","https://openalex.org/W2167357515","https://openalex.org/W2538583446","https://openalex.org/W2964250559"],"related_works":["https://openalex.org/W2037307649","https://openalex.org/W4300895095","https://openalex.org/W2963438473","https://openalex.org/W2171681635","https://openalex.org/W2111349105","https://openalex.org/W2950569304","https://openalex.org/W2038016299","https://openalex.org/W1972049632","https://openalex.org/W2110124831","https://openalex.org/W2556113510"],"abstract_inverted_index":{"We":[0],"provide":[1],"inner":[2],"bound":[3,6],"and":[4,33,45,91],"outer":[5],"for":[7],"the":[8,16,40,56,75],"total":[9,76],"number":[10,77],"of":[11,13,15,78,80],"degrees":[12,79],"freedom":[14,81],"K":[17,88,96,98],"user":[18],"multiple":[19,21],"input":[20],"output":[22],"(MIMO)":[23],"Gaussian":[24],"interference":[25,105],"channel":[26,41],"with":[27],"M":[28],"antennas":[29,35],"at":[30,36],"each":[31,37],"transmitter":[32],"N":[34],"receiver":[38],"if":[39,87,97],"coefficients":[42],"are":[43,53],"time-varying":[44],"drawn":[46],"from":[47],"a":[48],"continuous":[49],"distribution.":[50],"The":[51],"bounds":[52],"tight":[54],"when":[55],"ratio":[57],"max(M,":[58],"N)/min":[59],"(M,":[60],"N)":[61,93],"=":[62],"R":[63,90],"is":[64,82,102],"equal":[65,83],"to":[66,84],"an":[67],"integer.":[68],"For":[69],"this":[70],"case,":[71],"we":[72],"show":[73],"that":[74],"min(M,":[85,92],"N)K":[86],"les":[89],"R/R":[94],"+1":[95],">":[99],"R.":[100],"Achievability":[101],"based":[103],"on":[104],"alignment.":[106]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":10}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
