{"id":"https://openalex.org/W2092074071","doi":"https://doi.org/10.1109/tit.2011.2170106","title":"Maximum Rate of Unitary-Weight, Single-Symbol Decodable STBCs","display_name":"Maximum Rate of Unitary-Weight, Single-Symbol Decodable STBCs","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2092074071","doi":"https://doi.org/10.1109/tit.2011.2170106","mag":"2092074071"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2011.2170106","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2170106","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1101.2516","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014992900","display_name":"Sanjay Karmakar","orcid":"https://orcid.org/0000-0002-0755-2516"},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]},{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN","US"],"is_corresponding":true,"raw_author_name":"Sanjay Karmakar","raw_affiliation_strings":["Department of Electrical, Computer, and Energy Engineering, University of Colorado, Boulder, CO, USA","Indian Institute of Science, Bangalore, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical, Computer, and Energy Engineering, University of Colorado, Boulder, CO, USA","institution_ids":["https://openalex.org/I188538660"]},{"raw_affiliation_string":"Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008598547","display_name":"K. Pavan Srinath","orcid":"https://orcid.org/0000-0002-8450-3187"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"K. Pavan Srinath","raw_affiliation_strings":["Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015398340","display_name":"B. Sundar Rajan","orcid":"https://orcid.org/0000-0002-7847-0200"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"B. Sundar Rajan","raw_affiliation_strings":["Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014992900"],"corresponding_institution_ids":["https://openalex.org/I188538660","https://openalex.org/I59270414"],"apc_list":null,"apc_paid":null,"fwci":0.5399,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.71462112,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"57","issue":"12","first_page":"7972","last_page":"7981"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication 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/T10125","display_name":"Advanced Wireless Communication 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/T10575","display_name":"Wireless Communication Networks Research","score":0.9991999864578247,"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/T11130","display_name":"Coding theory and cryptography","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/mathematics","display_name":"Mathematics","score":0.721625804901123},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.6939481496810913},{"id":"https://openalex.org/keywords/unitary-matrix","display_name":"Unitary matrix","score":0.6506949067115784},{"id":"https://openalex.org/keywords/coding-gain","display_name":"Coding gain","score":0.639102578163147},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6385148763656616},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.6170135736465454},{"id":"https://openalex.org/keywords/space\u2013time-block-code","display_name":"Space\u2013time block code","score":0.5404914021492004},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4916561245918274},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4248020350933075},{"id":"https://openalex.org/keywords/qam","display_name":"QAM","score":0.4225504994392395},{"id":"https://openalex.org/keywords/transmit-diversity","display_name":"Transmit diversity","score":0.41928917169570923},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3522496819496155},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.33986592292785645},{"id":"https://openalex.org/keywords/quadrature-amplitude-modulation","display_name":"Quadrature amplitude modulation","score":0.28759390115737915},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2710583209991455},{"id":"https://openalex.org/keywords/bit-error-rate","display_name":"Bit error rate","score":0.1559387445449829},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.068584144115448}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.721625804901123},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.6939481496810913},{"id":"https://openalex.org/C96214315","wikidata":"https://www.wikidata.org/wiki/Q727103","display_name":"Unitary matrix","level":3,"score":0.6506949067115784},{"id":"https://openalex.org/C76862118","wikidata":"https://www.wikidata.org/wiki/Q1105671","display_name":"Coding gain","level":3,"score":0.639102578163147},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6385148763656616},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.6170135736465454},{"id":"https://openalex.org/C83487572","wikidata":"https://www.wikidata.org/wiki/Q371792","display_name":"Space\u2013time block code","level":4,"score":0.5404914021492004},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4916561245918274},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4248020350933075},{"id":"https://openalex.org/C59030546","wikidata":"https://www.wikidata.org/wiki/Q7265371","display_name":"QAM","level":5,"score":0.4225504994392395},{"id":"https://openalex.org/C117218131","wikidata":"https://www.wikidata.org/wiki/Q7834664","display_name":"Transmit diversity","level":4,"score":0.41928917169570923},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3522496819496155},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.33986592292785645},{"id":"https://openalex.org/C32409245","wikidata":"https://www.wikidata.org/wiki/Q749753","display_name":"Quadrature amplitude modulation","level":4,"score":0.28759390115737915},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2710583209991455},{"id":"https://openalex.org/C56296756","wikidata":"https://www.wikidata.org/wiki/Q840922","display_name":"Bit error rate","level":3,"score":0.1559387445449829},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.068584144115448},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.2011.2170106","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2170106","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"},{"id":"pmh:oai:eprints.iisc.ac.in:42967","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196309","display_name":"NOT FOUND REPOSITORY (Indian Institute of Science Bangalore)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I59270414","host_organization_name":"Indian Institute of Science Bangalore","host_organization_lineage":["https://openalex.org/I59270414"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:1101.2516","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1101.2516","pdf_url":"https://arxiv.org/pdf/1101.2516","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1101.2516","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1101.2516","pdf_url":"https://arxiv.org/pdf/1101.2516","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W597312344","https://openalex.org/W1975161215","https://openalex.org/W1989446323","https://openalex.org/W1990638455","https://openalex.org/W1994406803","https://openalex.org/W2034926812","https://openalex.org/W2081228459","https://openalex.org/W2099409344","https://openalex.org/W2106293065","https://openalex.org/W2107080958","https://openalex.org/W2110238624","https://openalex.org/W2110659753","https://openalex.org/W2117359246","https://openalex.org/W2118040894","https://openalex.org/W2131193750","https://openalex.org/W2131344660","https://openalex.org/W2132139840","https://openalex.org/W2139961280","https://openalex.org/W2148018445","https://openalex.org/W2150310322","https://openalex.org/W2166837934","https://openalex.org/W2170242945","https://openalex.org/W2316392425","https://openalex.org/W2952251377"],"related_works":["https://openalex.org/W1967977214","https://openalex.org/W2099487743","https://openalex.org/W2141291094","https://openalex.org/W2004461673","https://openalex.org/W3099373040","https://openalex.org/W2167867945","https://openalex.org/W2009762785","https://openalex.org/W2012068297","https://openalex.org/W2121896439","https://openalex.org/W2764069164"],"abstract_inverted_index":{"It":[0],"is":[1,47,107,124,146,157],"well":[2],"known":[3],"that":[4,127,168],"the":[5,24,33,41,55,86,100,129,136,139,149,161],"space-time":[6],"block":[7],"codes":[8,75,145,156,174],"(STBCs)":[9],"from":[10,32,89],"complex":[11,68,112],"orthogonal":[12],"designs":[13],"(CODs)":[14],"are":[15,27,169,184],"single-symbol":[16],"decodable/symbol-by-symbol":[17],"decodable":[18],"(SSD).":[19],"The":[20,52],"weight":[21,140],"matrices":[22,78,141],"of":[23,37,43,50,54,102,128,133,142,152],"square":[25,56],"CODs":[26,57],"all":[28,153],"unitary":[29,34],"and":[30,120,166,180],"obtainable":[31],"matrix":[35],"representations":[36],"Clifford":[38],"Algebras":[39],"when":[40],"number":[42],"transmit":[44,178],"antennas":[45],"n":[46,59],"a":[48],"power":[49],"2.":[51],"rate":[53,101],"for":[58,117,163,171],"=":[60],"2(a)":[61,118],"has":[62],"been":[63],"shown":[64],"to":[65,109,159,175],"be":[66,81,110,160],"a+1/2(a)":[67],"symbols":[69,113],"per":[70,114],"channel":[71,115],"use.":[72],"However,":[73],"SSD":[74,105,144,155,173],"having":[76],"unitary-weight":[77,104,143,154,172],"need":[79],"not":[80],"CODs,":[82],"an":[83,95],"example":[84],"being":[85],"minimum-decoding-complexity":[87],"STBCs":[88],"quasi-orthogonal":[90],"designs.":[91],"In":[92],"this":[93,121],"paper,":[94],"achievable":[96],"upper":[97,122],"bound":[98,123],"on":[99],"any":[103],"code":[106,134],"derived":[108],"a/2(a)-1":[111],"use":[116],"antennas,":[119],"larger":[125],"than":[126],"CODs.":[130],"By":[131],"way":[132],"construction,":[135],"interrelationship":[137],"between":[138],"studied.":[147],"Also,":[148],"coding":[150,182],"gain":[151,183],"proved":[158],"same":[162],"QAM":[164],"constellations":[165],"conditions":[167],"necessary":[170],"achieve":[176],"full":[177],"diversity":[179],"optimum":[181],"presented.":[185]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}