{"id":"https://openalex.org/W2031263152","doi":"https://doi.org/10.1109/isit.2005.1523603","title":"When is limited feedback for transmit beamforming beneficial?","display_name":"When is limited feedback for transmit beamforming beneficial?","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2031263152","doi":"https://doi.org/10.1109/isit.2005.1523603","mag":"2031263152"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2005.1523603","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2005.1523603","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. International Symposium on Information Theory, 2005. ISIT 2005.","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/A5084494514","display_name":"Vasanthan Raghavan","orcid":"https://orcid.org/0000-0002-4436-9016"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"V. Raghavan","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Wisconsin, Madison, WI, USA","Dept. of Electr. & Comput Eng., Wisconsin Univ., Madison, WI#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Wisconsin, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Dept. of Electr. & Comput Eng., Wisconsin Univ., Madison, WI#TAB#","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064613937","display_name":"A.M. Sayeed","orcid":"https://orcid.org/0009-0005-4066-1908"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A.M. Sayeed","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Wisconsin, Madison, WI, USA","Dept. of Electr. & Comput Eng., Wisconsin Univ., Madison, WI#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Wisconsin, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Dept. of Electr. & Comput Eng., Wisconsin Univ., Madison, WI#TAB#","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069834567","display_name":"Nigel Boston","orcid":"https://orcid.org/0000-0002-2807-4963"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"N. Boston","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Wisconsin, Madison, WI, USA","Dept. of Electr. & Comput Eng., Wisconsin Univ., Madison, WI#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Wisconsin, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Dept. of Electr. & Comput Eng., Wisconsin Univ., Madison, WI#TAB#","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5084494514"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":null,"apc_paid":null,"fwci":1.8141,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.85287029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"49","issue":null,"first_page":"1544","last_page":"1548"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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":0.9998000264167786,"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/T10125","display_name":"Advanced Wireless Communication Techniques","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"}}],"keywords":[{"id":"https://openalex.org/keywords/codebook","display_name":"Codebook","score":0.7777695059776306},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.7606757879257202},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.6913451552391052},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.644658625125885},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.6365271806716919},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.611521303653717},{"id":"https://openalex.org/keywords/rayleigh-fading","display_name":"Rayleigh fading","score":0.5945404767990112},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5839530825614929},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.5462266802787781},{"id":"https://openalex.org/keywords/grassmannian","display_name":"Grassmannian","score":0.5158321261405945},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.442763090133667},{"id":"https://openalex.org/keywords/spatial-correlation","display_name":"Spatial correlation","score":0.4337802529335022},{"id":"https://openalex.org/keywords/antenna","display_name":"Antenna (radio)","score":0.41898614168167114},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41178131103515625},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.3946123421192169},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3869372010231018},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.3555624783039093},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.3305091857910156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.312994122505188},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.21157696843147278},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.18382403254508972},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12963765859603882},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09409394860267639},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.08394873142242432}],"concepts":[{"id":"https://openalex.org/C127759330","wikidata":"https://www.wikidata.org/wiki/Q637416","display_name":"Codebook","level":2,"score":0.7777695059776306},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7606757879257202},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.6913451552391052},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.644658625125885},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.6365271806716919},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.611521303653717},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.5945404767990112},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5839530825614929},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.5462266802787781},{"id":"https://openalex.org/C162929932","wikidata":"https://www.wikidata.org/wiki/Q129638","display_name":"Grassmannian","level":2,"score":0.5158321261405945},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.442763090133667},{"id":"https://openalex.org/C150060386","wikidata":"https://www.wikidata.org/wiki/Q7574054","display_name":"Spatial correlation","level":2,"score":0.4337802529335022},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.41898614168167114},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41178131103515625},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.3946123421192169},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3869372010231018},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.3555624783039093},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.3305091857910156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.312994122505188},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.21157696843147278},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.18382403254508972},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12963765859603882},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09409394860267639},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.08394873142242432}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2005.1523603","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2005.1523603","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. International Symposium on Information Theory, 2005. ISIT 2005.","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.298.1044","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.298.1044","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.wisc.edu/~boston/raghavan.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.324.4974","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.324.4974","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ifp.illinois.edu/~vasanth/pdf/frf_post01.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W174635644","https://openalex.org/W187222202","https://openalex.org/W1667950888","https://openalex.org/W1982288502","https://openalex.org/W2063551896","https://openalex.org/W2074863717","https://openalex.org/W2081102151","https://openalex.org/W2104621895","https://openalex.org/W2122625992","https://openalex.org/W2128865660","https://openalex.org/W2129373681","https://openalex.org/W2129766733","https://openalex.org/W2130256523","https://openalex.org/W2130509920","https://openalex.org/W2130521103","https://openalex.org/W2136836846","https://openalex.org/W2140099565","https://openalex.org/W2143447102","https://openalex.org/W2330078975","https://openalex.org/W2537579672","https://openalex.org/W2798707604","https://openalex.org/W4285719527","https://openalex.org/W6607265895","https://openalex.org/W6607631462","https://openalex.org/W6678441887","https://openalex.org/W6728631160"],"related_works":["https://openalex.org/W2123156148","https://openalex.org/W2014264654","https://openalex.org/W2021863731","https://openalex.org/W2055298134","https://openalex.org/W2402142910","https://openalex.org/W2794256844","https://openalex.org/W2767088567","https://openalex.org/W2740968261","https://openalex.org/W2151070970","https://openalex.org/W2007882453"],"abstract_inverted_index":{"Transmit":[0],"beamforming":[1,37],"and":[2,88,116],"receive":[3],"combining":[4],"are":[5,106],"low":[6],"complexity":[7],"techniques":[8],"that":[9,49,90,104],"help":[10],"in":[11,109,126,133],"achieving":[12],"the":[13,18,26,59,67,84,99,110,117,124,127,131],"full":[14],"diversity":[15],"afforded":[16],"by":[17],"multi-antenna":[19],"channel.":[20],"Complete":[21],"channel":[22,68,86],"state":[23],"information":[24],"at":[25],"transmitter":[27],"may":[28],"be":[29,121],"possible":[30],"only":[31],"under":[32],"rare":[33],"instances.":[34],"Thus":[35],"quantized":[36],"with":[38,69],"limited":[39],"feedback":[40],"on":[41,65],"a":[42,47],"reverse":[43],"link":[44],"has":[45,50,63],"been":[46],"topic":[48],"attracted":[51],"great":[52],"attention":[53],"recently.":[54],"But":[55],"almost":[56],"all":[57],"of":[58,98],"work":[60],"to":[61,123],"date":[62],"focussed":[64],"modeling":[66],"independent,":[70],"identically":[71],"distributed":[72],"(i.i.d.)":[73],"Rayleigh":[74],"fading":[75],"between":[76],"antenna":[77],"pairs.":[78],"In":[79],"this":[80,134],"paper,":[81],"we":[82],"consider":[83],"correlated":[85],"case,":[87],"show":[89,103],"Grassmannian":[91],"line":[92],"packing":[93],"is":[94,114],"an":[95],"artificial":[96],"artifact":[97],"i.i.d.":[100,139],"assumption.":[101],"We":[102],"there":[105],"dominant":[107],"peaks":[108],"eigen-domain":[111],"when":[112],"correlation":[113,125],"imposed":[115],"codebook":[118],"construction":[119],"should":[120],"matched":[122],"channel,":[128],"which":[129],"renders":[130],"problem":[132],"case":[135],"easier":[136],"than":[137],"for":[138],"channels":[140]},"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}