{"id":"https://openalex.org/W2106641685","doi":"https://doi.org/10.1109/allerton.2013.6736527","title":"A rank ratio inequality and the linear degrees of freedom of X-channel with delayed CSIT","display_name":"A rank ratio inequality and the linear degrees of freedom of X-channel with delayed CSIT","publication_year":2013,"publication_date":"2013-10-01","ids":{"openalex":"https://openalex.org/W2106641685","doi":"https://doi.org/10.1109/allerton.2013.6736527","mag":"2106641685"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2013.6736527","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2013.6736527","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton)","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/A5028392055","display_name":"Sina Lashgari","orcid":"https://orcid.org/0000-0002-5134-380X"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sina Lashgari","raw_affiliation_strings":["School of Electrical and Computer Engineering, Cornell University, Ithaca, NY","Sch. of Electr. & Comput. Eng., Cornell Univ., Ithaca, NY, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca, NY","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"Sch. of Electr. & Comput. Eng., Cornell Univ., Ithaca, NY, USA#TAB#","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047191296","display_name":"A. Salman Avestimehr","orcid":"https://orcid.org/0000-0003-3102-0867"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Salman Avestimehr","raw_affiliation_strings":["School of Electrical and Computer Engineering, Cornell University, Ithaca, NY","Sch. of Electr. & Comput. Eng., Cornell Univ., Ithaca, NY, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca, NY","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"Sch. of Electr. & Comput. Eng., Cornell Univ., Ithaca, NY, USA#TAB#","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003738785","display_name":"Changho Suh","orcid":"https://orcid.org/0000-0002-3101-4291"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Changho Suh","raw_affiliation_strings":["Department of Electrical Engineering, Korea Advanced Institute of Science and Technology, Daejeon, South Korea","[Dept. of Electr. Eng., Korea Adv. Inst. of Sci. & Technol., Daejeon, South Korea]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Korea Advanced Institute of Science and Technology, Daejeon, South Korea","institution_ids":["https://openalex.org/I157485424"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Korea Adv. Inst. of Sci. & Technol., Daejeon, South Korea]","institution_ids":["https://openalex.org/I157485424"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.8406,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.93974131,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"54","issue":null,"first_page":"218","last_page":"225"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":1.0,"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":1.0,"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":0.9998999834060669,"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":0.9997000098228455,"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/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.6671582460403442},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.6333116888999939},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.618862509727478},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.6077147722244263},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5446370244026184},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5298694968223572},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.499539852142334},{"id":"https://openalex.org/keywords/linear-network-coding","display_name":"Linear network coding","score":0.49903416633605957},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.4919435679912567},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4664309322834015},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4046664535999298},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37897318601608276},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3272721767425537},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.25675973296165466},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16268157958984375},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12273168563842773},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10849562287330627},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.08863389492034912}],"concepts":[{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.6671582460403442},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.6333116888999939},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.618862509727478},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.6077147722244263},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5446370244026184},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5298694968223572},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.499539852142334},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.49903416633605957},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.4919435679912567},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4664309322834015},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4046664535999298},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37897318601608276},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3272721767425537},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.25675973296165466},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16268157958984375},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12273168563842773},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10849562287330627},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.08863389492034912},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/allerton.2013.6736527","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2013.6736527","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6600000262260437,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1979408141","https://openalex.org/W2002469179","https://openalex.org/W2009132493","https://openalex.org/W2030357686","https://openalex.org/W2041616144","https://openalex.org/W2093901368","https://openalex.org/W2106549261","https://openalex.org/W2106697356","https://openalex.org/W2113817460","https://openalex.org/W2117423557","https://openalex.org/W2124982134","https://openalex.org/W2136608712","https://openalex.org/W2165962863","https://openalex.org/W2200991597","https://openalex.org/W2210514616","https://openalex.org/W2950715484","https://openalex.org/W2951143138","https://openalex.org/W2951921294","https://openalex.org/W2963676394","https://openalex.org/W3105273828","https://openalex.org/W3125864775","https://openalex.org/W4250958385"],"related_works":["https://openalex.org/W2387449261","https://openalex.org/W2418518962","https://openalex.org/W2963377682","https://openalex.org/W2043159103","https://openalex.org/W2391769344","https://openalex.org/W4297790016","https://openalex.org/W2359260952","https://openalex.org/W2769269860","https://openalex.org/W2020701214","https://openalex.org/W2388752733"],"abstract_inverted_index":{"We":[0,25],"establish":[1],"the":[2,7,23,33,72,79,82,89,118],"degrees":[3,35],"of":[4,6,36,38,50,58,81,84,120],"freedom":[5,37],"X-channel":[8],"with":[9,64],"delayed":[10,16,65,97],"channel":[11],"knowledge":[12],"at":[13,22,88],"transmitters":[14,60,74],"(i.e.,":[15],"CSIT),":[17],"assuming":[18],"linear":[19,34,76],"coding":[20],"strategies":[21],"transmitters.":[24],"derive":[26],"a":[27,51,111],"new":[28],"upper":[29],"bound":[30],"and":[31,61],"characterize":[32],"this":[39],"network":[40],"to":[41,96,105],"be":[42,103],"6/5.":[43],"The":[44,67],"converse":[45],"builds":[46],"upon":[47],"our":[48],"development":[49],"general":[52],"lemma":[53,68,100],"for":[54],"wireless":[55],"networks":[56],"consisting":[57],"two":[59,62,73,90,121],"receivers,":[63],"CSIT.":[66,98],"states":[69],"that,":[70],"if":[71],"employ":[75],"strategies,":[77],"then":[78],"ratio":[80],"rank":[83],"received":[85],"signal":[86],"subspaces":[87],"receivers":[91],"cannot":[92],"exceed":[93],"3/2,":[94],"due":[95],"This":[99],"can":[101],"also":[102],"applied":[104],"any":[106],"arbitrary":[107],"network,":[108],"in":[109,117],"which":[110],"receiver":[112],"decodes":[113],"its":[114],"desired":[115],"message":[116],"presence":[119],"interferers.":[122]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}