{"id":"https://openalex.org/W2087693058","doi":"https://doi.org/10.1109/tit.2012.2201330","title":"Writing on Fading Paper, Dirty Tape With Little Ink: Wideband Limits for Causal Transmitter CSI","display_name":"Writing on Fading Paper, Dirty Tape With Little Ink: Wideband Limits for Causal Transmitter CSI","publication_year":2012,"publication_date":"2012-07-10","ids":{"openalex":"https://openalex.org/W2087693058","doi":"https://doi.org/10.1109/tit.2012.2201330","mag":"2087693058"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2012.2201330","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2201330","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-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/A5108379152","display_name":"Shashi Borade","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]},{"id":"https://openalex.org/I2799548008","display_name":"D. E. Shaw Research","ror":"https://ror.org/02s04h872","country_code":"US","type":"company","lineage":["https://openalex.org/I2799548008"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shashi Borade","raw_affiliation_strings":["D. E. Shaw and Company, New York, NY, USA","Department of Electrical Engineering and Computer Sciences, Massachusetts Institute of Technology, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"D. E. Shaw and Company, New York, NY, USA","institution_ids":["https://openalex.org/I2799548008"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112425882","display_name":"Lizhong Zheng","orcid":"https://orcid.org/0000-0002-6108-0222"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lizhong Zheng","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences, Massachusetts Institute of Technology, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5108379152"],"corresponding_institution_ids":["https://openalex.org/I2799548008","https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":1.964,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.87535525,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"58","issue":"8","first_page":"5388","last_page":"5397"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/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":0.9997000098228455,"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/transmitter","display_name":"Transmitter","score":0.8139781951904297},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.760757565498352},{"id":"https://openalex.org/keywords/wideband","display_name":"Wideband","score":0.6110399961471558},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.5747931599617004},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.574749767780304},{"id":"https://openalex.org/keywords/rayleigh-fading","display_name":"Rayleigh fading","score":0.5669459700584412},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4779084622859955},{"id":"https://openalex.org/keywords/pulse-position-modulation","display_name":"Pulse-position modulation","score":0.4441826045513153},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.44212788343429565},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.42237621545791626},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.41774439811706543},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.34645384550094604},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.34343504905700684},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.326635479927063},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.19101771712303162},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.17015424370765686},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15299645066261292},{"id":"https://openalex.org/keywords/pulse-amplitude-modulation","display_name":"Pulse-amplitude modulation","score":0.14148539304733276},{"id":"https://openalex.org/keywords/pulse","display_name":"Pulse (music)","score":0.12192082405090332},{"id":"https://openalex.org/keywords/detector","display_name":"Detector","score":0.09932976961135864}],"concepts":[{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.8139781951904297},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.760757565498352},{"id":"https://openalex.org/C2780202535","wikidata":"https://www.wikidata.org/wiki/Q4524457","display_name":"Wideband","level":2,"score":0.6110399961471558},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.5747931599617004},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.574749767780304},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.5669459700584412},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4779084622859955},{"id":"https://openalex.org/C46035914","wikidata":"https://www.wikidata.org/wiki/Q1767289","display_name":"Pulse-position modulation","level":5,"score":0.4441826045513153},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.44212788343429565},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.42237621545791626},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.41774439811706543},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34645384550094604},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.34343504905700684},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.326635479927063},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.19101771712303162},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.17015424370765686},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15299645066261292},{"id":"https://openalex.org/C20518276","wikidata":"https://www.wikidata.org/wiki/Q186130","display_name":"Pulse-amplitude modulation","level":4,"score":0.14148539304733276},{"id":"https://openalex.org/C2780167933","wikidata":"https://www.wikidata.org/wiki/Q1550652","display_name":"Pulse (music)","level":3,"score":0.12192082405090332},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.09932976961135864},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2012.2201330","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2201330","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8899999856948853}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1507360076","https://openalex.org/W1976109068","https://openalex.org/W1986389751","https://openalex.org/W2010124162","https://openalex.org/W2045879576","https://openalex.org/W2068028939","https://openalex.org/W2130128605","https://openalex.org/W2130912233","https://openalex.org/W2136746829","https://openalex.org/W2143664144","https://openalex.org/W2154647717","https://openalex.org/W2155113587","https://openalex.org/W2155393889","https://openalex.org/W2162028181","https://openalex.org/W2338080054","https://openalex.org/W2502318419","https://openalex.org/W2541781433","https://openalex.org/W3169111758","https://openalex.org/W4214850838","https://openalex.org/W6679575847","https://openalex.org/W6703677596"],"related_works":["https://openalex.org/W301676527","https://openalex.org/W1511904591","https://openalex.org/W1818073027","https://openalex.org/W2070177675","https://openalex.org/W2110793934","https://openalex.org/W1966418703","https://openalex.org/W1994554182","https://openalex.org/W2130867916","https://openalex.org/W1583202008","https://openalex.org/W2545273393"],"abstract_inverted_index":{"A":[0,20],"wideband":[1,69,91],"Rayleigh":[2],"fading":[3],"channel":[4,9,66,78,135,138,162,182,204],"is":[5,58,99,110,123,166,184,200,210,222,247],"considered":[6],"with":[7,24,105,139,154,163],"causal":[8,86,140,194,228,242],"state":[10,183],"information":[11],"(CSI)":[12],"at":[13,28,189],"the":[14,29,62,68,77,90,100,103,113,116,127,133,190,225],"transmitter":[15,87,141,191,229,245],"and":[16,47,143,174,205,231,243],"no":[17,144],"receiver":[18,30,97,107,145,156],"CSI.":[19,88,157],"simple":[21,207],"orthogonal":[22,208,219],"code":[23,209],"energy":[25,74],"detection":[26],"rule":[27],"(similar":[31],"to":[32,60,112,125,186,212],"pulse":[33,120],"position":[34,121],"modulation":[35,122],"in":[36,67,192],"IEEE":[37,48],"Trans.":[38,49],"Inf.":[39,50],"Theory,":[40,51],"vol.":[41,52],"46,":[42],"no.":[43,54],"4,":[44],"Apr.":[45],"2000":[46],"52":[53],"5,":[55],"May":[56],"2006)":[57],"shown":[59,124,211],"achieve":[61,126,213],"capacity":[63,94,104,128,150,237],"of":[64,115,132,227,236],"this":[65,93,203,214],"limit.":[70],"This":[71],"strategy":[72],"transmits":[73],"only":[75,84],"when":[76],"gain":[79],"exceeds":[80],"a":[81,159,175,193,206,217,232],"threshold,":[82],"hence":[83],"needs":[85],"In":[89],"limit,":[92],"without":[95],"any":[96],"CSI":[98,142,230,246],"same":[101],"as":[102],"full":[106,155],"CSI,":[108],"which":[109,147],"proportional":[111],"logarithm":[114],"bandwidth.":[117],"Similar":[118],"threshold-based":[119],"per":[129,151,197,238],"unit":[130,152,198,239],"cost":[131,153,173,177,199,240],"dirty-tape":[134],"(dirty":[136],"paper":[137],"CSI),":[146],"equals":[148],"its":[149],"Then,":[158],"general":[160],"discrete":[161],"i.i.d.":[164],"states":[165],"considered.":[167],"Each":[168],"input":[169,178],"has":[170],"an":[171],"associated":[172],"zero":[176],"\u201c0\u201d":[179],"exists.":[180],"The":[181],"assumed":[185],"be":[187],"known":[188],"manner.":[195],"Capacity":[196],"found":[201],"for":[202,224,234,241],"capacity.":[215],"Later,":[216],"novel":[218],"coding":[220],"scheme":[221],"proposed":[223],"case":[226],"condition":[233],"equivalence":[235],"noncausal":[244],"derived.":[248]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"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"}
