{"id":"https://openalex.org/W2083002698","doi":"https://doi.org/10.1109/glocom.2012.6503463","title":"Towards the feasibility conditions for linear interference alignment with symbol extensions: A diversity constraint","display_name":"Towards the feasibility conditions for linear interference alignment with symbol extensions: A diversity constraint","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2083002698","doi":"https://doi.org/10.1109/glocom.2012.6503463","mag":"2083002698"},"language":"en","primary_location":{"id":"doi:10.1109/glocom.2012.6503463","is_oa":false,"landing_page_url":"https://doi.org/10.1109/glocom.2012.6503463","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Global Communications Conference (GLOBECOM)","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/A5101844840","display_name":"Liangbin Li","orcid":"https://orcid.org/0000-0002-2762-7327"},"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":true,"raw_author_name":"Liangbin Li","raw_affiliation_strings":["Center for Pervasive Communications & Computing, University of California, Irvine, USA","[Center for Pervasive Communications and Computing, University of California, Irvine, USA]"],"affiliations":[{"raw_affiliation_string":"Center for Pervasive Communications & Computing, University of California, Irvine, USA","institution_ids":["https://openalex.org/I204250578"]},{"raw_affiliation_string":"[Center for Pervasive Communications and Computing, University of California, Irvine, USA]","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089039918","display_name":"Hamid Jafarkhani","orcid":"https://orcid.org/0000-0001-6838-8038"},"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":"Hamid Jafarkhani","raw_affiliation_strings":["Center for Pervasive Communications & Computing, University of California, Irvine, USA","[Center for Pervasive Communications and Computing, University of California, Irvine, USA]"],"affiliations":[{"raw_affiliation_string":"Center for Pervasive Communications & Computing, University of California, Irvine, USA","institution_ids":["https://openalex.org/I204250578"]},{"raw_affiliation_string":"[Center for Pervasive Communications and Computing, University of California, Irvine, 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 Ali Jafar","raw_affiliation_strings":["Center for Pervasive Communications & Computing, University of California, Irvine, USA","[Center for Pervasive Communications and Computing, University of California, Irvine, USA]"],"affiliations":[{"raw_affiliation_string":"Center for Pervasive Communications & Computing, University of California, Irvine, USA","institution_ids":["https://openalex.org/I204250578"]},{"raw_affiliation_string":"[Center for Pervasive Communications and Computing, University of California, Irvine, USA]","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101844840"],"corresponding_institution_ids":["https://openalex.org/I204250578"],"apc_list":null,"apc_paid":null,"fwci":1.09358371,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.81726145,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2328","last_page":"2333"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9998000264167786,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9998000264167786,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998000264167786,"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":0.9994999766349792,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.7838500738143921},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.7239193916320801},{"id":"https://openalex.org/keywords/symbol","display_name":"Symbol (formal)","score":0.672889232635498},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6673490405082703},{"id":"https://openalex.org/keywords/diversity-scheme","display_name":"Diversity scheme","score":0.5744996666908264},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.557489812374115},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5533826947212219},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.527764081954956},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5118059515953064},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4836174547672272},{"id":"https://openalex.org/keywords/interference-alignment","display_name":"Interference alignment","score":0.47862452268600464},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.478469580411911},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.47554680705070496},{"id":"https://openalex.org/keywords/diversity","display_name":"Diversity (politics)","score":0.43630537390708923},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41060441732406616},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3976210951805115},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3701053261756897},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.3235146999359131},{"id":"https://openalex.org/keywords/orthogonal-frequency-division-multiplexing","display_name":"Orthogonal frequency-division multiplexing","score":0.2363874316215515},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13956418633460999},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11893424391746521},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06968903541564941}],"concepts":[{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.7838500738143921},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.7239193916320801},{"id":"https://openalex.org/C134400042","wikidata":"https://www.wikidata.org/wiki/Q2372244","display_name":"Symbol (formal)","level":2,"score":0.672889232635498},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6673490405082703},{"id":"https://openalex.org/C198746922","wikidata":"https://www.wikidata.org/wiki/Q1230593","display_name":"Diversity scheme","level":4,"score":0.5744996666908264},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.557489812374115},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5533826947212219},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.527764081954956},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5118059515953064},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4836174547672272},{"id":"https://openalex.org/C2982854036","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference alignment","level":4,"score":0.47862452268600464},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.478469580411911},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.47554680705070496},{"id":"https://openalex.org/C2781316041","wikidata":"https://www.wikidata.org/wiki/Q1230584","display_name":"Diversity (politics)","level":2,"score":0.43630537390708923},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41060441732406616},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3976210951805115},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3701053261756897},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.3235146999359131},{"id":"https://openalex.org/C40409654","wikidata":"https://www.wikidata.org/wiki/Q375889","display_name":"Orthogonal frequency-division multiplexing","level":3,"score":0.2363874316215515},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13956418633460999},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11893424391746521},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06968903541564941},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/glocom.2012.6503463","is_oa":false,"landing_page_url":"https://doi.org/10.1109/glocom.2012.6503463","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Global Communications Conference (GLOBECOM)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.5099999904632568,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1525037223","https://openalex.org/W1979408141","https://openalex.org/W2098363461","https://openalex.org/W2103579292","https://openalex.org/W2106549261","https://openalex.org/W2136180028","https://openalex.org/W2159159660","https://openalex.org/W2168095411","https://openalex.org/W2168448439","https://openalex.org/W2950813095","https://openalex.org/W4246372467"],"related_works":["https://openalex.org/W2389793738","https://openalex.org/W2376208682","https://openalex.org/W4246219814","https://openalex.org/W2368886944","https://openalex.org/W4312092355","https://openalex.org/W2115611726","https://openalex.org/W2103381126","https://openalex.org/W2022115048","https://openalex.org/W2004163229","https://openalex.org/W2112777969"],"abstract_inverted_index":{"We":[0],"explore":[1],"the":[2,16,24,44,61,75,85,90,102],"feasibility":[3],"of":[4,26,33,46,63,66,77,134],"linear":[5],"interference":[6,109],"alignment":[7],"using":[8],"finite":[9],"signaling":[10,124,129],"dimensions":[11],"and":[12,111,126,136],"symbol":[13,141],"extensions.":[14,142],"In":[15],"non-zero":[17],"total":[18],"intersection":[19],"regime,":[20],"we":[21,94],"show":[22],"that":[23,49,93],"number":[25,45,76],"sources":[27],"is":[28,89,101],"upperbounded":[29],"by":[30],"a":[31,40,64,132],"function":[32],"channel":[34,86],"diversity.":[35,87],"The":[36],"available":[37],"diversity":[38,91],"places":[39],"fundamental":[41],"constraint":[42,92],"on":[43],"signal":[47,79],"spaces":[48,80],"can":[50,116],"overlap":[51],"at":[52,71],"one":[53],"destination":[54],"(where":[55],"they":[56],"are":[57],"undesired)":[58],"while":[59],"maintaining":[60],"resolvability":[62],"subset":[65],"those":[67],"signals":[68],"(desired":[69],"signals)":[70],"another":[72],"destination.":[73],"Specifically,":[74],"such":[78],"cannot":[81],"be":[82,118],"larger":[83],"than":[84],"This":[88],"identify":[95],"in":[96],"this":[97],"paper.":[98],"Not":[99],"only":[100],"proposed":[103],"method":[104],"applicable":[105],"for":[106,120],"X":[107],"channels,":[108,110],"their":[112],"rank-deficient":[113],"counterparts,":[114],"it":[115],"also":[117],"used":[119],"both":[121],"circular":[122],"symmetric":[123],"(CSS)":[125],"asymmetric":[127],"complex":[128],"(ACS)":[130],"over":[131],"combination":[133],"frequency":[135],"MIMO":[137],"channels":[138],"with":[139],"arbitrary":[140]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}