{"id":"https://openalex.org/W2062783684","doi":"https://doi.org/10.1109/ciss.2008.4558514","title":"Grassmannian beamforming for MIMO amplify-and-forward relaying","display_name":"Grassmannian beamforming for MIMO amplify-and-forward relaying","publication_year":2008,"publication_date":"2008-03-01","ids":{"openalex":"https://openalex.org/W2062783684","doi":"https://doi.org/10.1109/ciss.2008.4558514","mag":"2062783684"},"language":"en","primary_location":{"id":"doi:10.1109/ciss.2008.4558514","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ciss.2008.4558514","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 42nd Annual Conference on Information Sciences and Systems","raw_type":"proceedings-article"},"type":"conference-paper","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/A5004659384","display_name":"Behrouz Khoshnevis","orcid":null},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Behrouz Khoshnevis","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004681822","display_name":"Wei Yu","orcid":"https://orcid.org/0000-0002-7453-422X"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Wei Yu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada","Dept of Electr. & Comput. Eng., Toronto Univ., Toronto, ON"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"Dept of Electr. & Comput. Eng., Toronto Univ., Toronto, ON","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070888504","display_name":"Raviraj Adve","orcid":"https://orcid.org/0000-0003-0224-2209"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Raviraj Adve","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"161","last_page":"166"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T12791","display_name":"Full-Duplex Wireless Communications","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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9994000196456909,"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/beamforming","display_name":"Beamforming","score":0.8867992162704468},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6952850818634033},{"id":"https://openalex.org/keywords/rayleigh-fading","display_name":"Rayleigh fading","score":0.6776894330978394},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.6237818002700806},{"id":"https://openalex.org/keywords/grassmannian","display_name":"Grassmannian","score":0.5689722895622253},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5566956400871277},{"id":"https://openalex.org/keywords/wsdma","display_name":"WSDMA","score":0.5501542687416077},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.5213340520858765},{"id":"https://openalex.org/keywords/vector-quantization","display_name":"Vector quantization","score":0.4975607693195343},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.4893571734428406},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.4685538709163666},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44901958107948303},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.356076180934906},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34045884013175964},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.33627212047576904},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.33428460359573364},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.32545900344848633},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.2098223865032196},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1065356433391571},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0785960853099823},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.05658724904060364}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.8867992162704468},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6952850818634033},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.6776894330978394},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.6237818002700806},{"id":"https://openalex.org/C162929932","wikidata":"https://www.wikidata.org/wiki/Q129638","display_name":"Grassmannian","level":2,"score":0.5689722895622253},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5566956400871277},{"id":"https://openalex.org/C57466844","wikidata":"https://www.wikidata.org/wiki/Q7955559","display_name":"WSDMA","level":5,"score":0.5501542687416077},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.5213340520858765},{"id":"https://openalex.org/C199833920","wikidata":"https://www.wikidata.org/wiki/Q612536","display_name":"Vector quantization","level":2,"score":0.4975607693195343},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.4893571734428406},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.4685538709163666},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44901958107948303},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.356076180934906},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34045884013175964},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.33627212047576904},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.33428460359573364},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32545900344848633},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.2098223865032196},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1065356433391571},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0785960853099823},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.05658724904060364},{"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/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/ciss.2008.4558514","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ciss.2008.4558514","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 42nd Annual Conference on Information Sciences and Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.212.7244","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.212.7244","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.comm.utoronto.ca/~bkhoshnevis/CISS08.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.213.353","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.213.353","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.comm.utoronto.ca/~bkhoshnevis/JSAC.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.246.9114","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.246.9114","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0710.5758v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.329.7106","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.329.7106","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.comm.toronto.edu/~rsadve/Publications/BehrouzJSAC_GrassmanianBF.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":18,"referenced_works":["https://openalex.org/W1974598214","https://openalex.org/W2012077644","https://openalex.org/W2035469609","https://openalex.org/W2074863717","https://openalex.org/W2106801259","https://openalex.org/W2107080958","https://openalex.org/W2107890868","https://openalex.org/W2112277368","https://openalex.org/W2113026489","https://openalex.org/W2120302973","https://openalex.org/W2121776532","https://openalex.org/W2130256523","https://openalex.org/W2130521103","https://openalex.org/W2135636605","https://openalex.org/W2146994356","https://openalex.org/W2151953578","https://openalex.org/W2162789906","https://openalex.org/W2950473394"],"related_works":["https://openalex.org/W4281688526","https://openalex.org/W2152088989","https://openalex.org/W2756419127","https://openalex.org/W4366493479","https://openalex.org/W2401571617","https://openalex.org/W2905893439","https://openalex.org/W3135374966","https://openalex.org/W2953205382","https://openalex.org/W1880939738","https://openalex.org/W3178786436"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,28,50,75],"consider":[4,51],"the":[5,11,30,42,52,68,71,81,99,106],"beamforming":[6,32,47,53,62,73,101],"code-book":[7],"design":[8],"problem":[9,54],"for":[10,84,97],"half-duplex":[12],"MIMO":[13],"amplify-and-forward":[14],"relay":[15,46],"channel":[16,36],"with":[17,34,55],"Rayleigh":[18],"fading.":[19],"The":[20,103],"analysis":[21],"is":[22,109],"divided":[23],"into":[24],"two":[25],"steps.":[26],"First,":[27],"present":[29],"optimal":[31,43,72,100],"scheme":[33],"full":[35],"state":[37],"information":[38],"(CSI)":[39],"and":[40,45,59,90],"derive":[41],"source":[44],"vectors.":[48,102],"Next,":[49],"receiver":[56],"CSI":[57],"only":[58],"provide":[60],"a":[61],"vector":[63],"quantization":[64],"scheme.":[65],"Based":[66],"on":[67],"statistics":[69],"of":[70,105],"vectors,":[74],"show":[76],"that":[77],"Grassmannian":[78,107],"codebooks":[79,93,108],"minimize":[80],"upper":[82],"bound":[83],"SNR":[85],"loss":[86],"caused":[87],"by":[88,111],"quantization,":[89],"therefore":[91],"these":[92],"are":[94],"appropriate":[95],"choices":[96],"quantizing":[98],"efficiency":[104],"verified":[110],"simulation":[112],"results.":[113]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
