{"id":"https://openalex.org/W2398827528","doi":"https://doi.org/10.1109/tcomm.2015.2442241","title":"Euclidean and Space\u2013Time Block Codes: Relationship, Optimality, Performance Analysis Revisited","display_name":"Euclidean and Space\u2013Time Block Codes: Relationship, Optimality, Performance Analysis Revisited","publication_year":2015,"publication_date":"2015-06-05","ids":{"openalex":"https://openalex.org/W2398827528","doi":"https://doi.org/10.1109/tcomm.2015.2442241","mag":"2398827528"},"language":"en","primary_location":{"id":"doi:10.1109/tcomm.2015.2442241","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2015.2442241","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","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/A5056291681","display_name":"Alex E. Geyer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alex E. Geyer","raw_affiliation_strings":["Huawei, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Huawei, Moscow, Russia","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064149617","display_name":"Reza Nikjah","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Reza Nikjah","raw_affiliation_strings":["TEKTELIC Communications Inc., Calgary, AB, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TEKTELIC Communications Inc., Calgary, AB, Canada","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055234860","display_name":"Sergiy A. Vorobyov","orcid":"https://orcid.org/0000-0001-7249-647X"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Sergiy A. Vorobyov","raw_affiliation_strings":["Department of Signal Processing and Acoustics, Aalto University, Espoo, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Signal Processing and Acoustics, Aalto University, Espoo, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038087450","display_name":"Norman C. Beaulieu","orcid":"https://orcid.org/0000-0001-9233-219X"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Norman C. Beaulieu","raw_affiliation_strings":["School of Information and Communication Engineering, and the Beijing Key Laboratory of Network System Architecture and Convergence, Beijing University of Posts and Telecommunications, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, and the Beijing Key Laboratory of Network System Architecture and Convergence, Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5831,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.7373014,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"63","issue":"8","first_page":"2912","last_page":"2923"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","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/T10125","display_name":"Advanced Wireless Communication Techniques","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/T10575","display_name":"Wireless Communication Networks Research","score":0.9995999932289124,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9983999729156494,"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/block-code","display_name":"Block code","score":0.7920828461647034},{"id":"https://openalex.org/keywords/space\u2013time-block-code","display_name":"Space\u2013time block code","score":0.6907083988189697},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6309491991996765},{"id":"https://openalex.org/keywords/constellation-diagram","display_name":"Constellation diagram","score":0.5937233567237854},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.533454179763794},{"id":"https://openalex.org/keywords/phase-shift-keying","display_name":"Phase-shift keying","score":0.46451205015182495},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4572680592536926},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4556584060192108},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.4457889497280121},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.44564709067344666},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.41963356733322144},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.4131767749786377},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38002192974090576},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26376789808273315},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2566671073436737},{"id":"https://openalex.org/keywords/bit-error-rate","display_name":"Bit error rate","score":0.22451937198638916},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.18598255515098572},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1116071343421936},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07650092244148254}],"concepts":[{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.7920828461647034},{"id":"https://openalex.org/C83487572","wikidata":"https://www.wikidata.org/wiki/Q371792","display_name":"Space\u2013time block code","level":4,"score":0.6907083988189697},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6309491991996765},{"id":"https://openalex.org/C185837786","wikidata":"https://www.wikidata.org/wiki/Q1782940","display_name":"Constellation diagram","level":4,"score":0.5937233567237854},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.533454179763794},{"id":"https://openalex.org/C186378180","wikidata":"https://www.wikidata.org/wiki/Q4874866","display_name":"Phase-shift keying","level":4,"score":0.46451205015182495},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4572680592536926},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4556584060192108},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.4457889497280121},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.44564709067344666},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.41963356733322144},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.4131767749786377},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38002192974090576},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26376789808273315},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2566671073436737},{"id":"https://openalex.org/C56296756","wikidata":"https://www.wikidata.org/wiki/Q840922","display_name":"Bit error rate","level":3,"score":0.22451937198638916},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.18598255515098572},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1116071343421936},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07650092244148254},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcomm.2015.2442241","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2015.2442241","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W129343413","https://openalex.org/W1487960216","https://openalex.org/W1509724310","https://openalex.org/W1522045078","https://openalex.org/W1559601530","https://openalex.org/W1823191660","https://openalex.org/W1967104884","https://openalex.org/W1983417542","https://openalex.org/W1989446323","https://openalex.org/W2029948740","https://openalex.org/W2097190254","https://openalex.org/W2100139560","https://openalex.org/W2100971250","https://openalex.org/W2103877563","https://openalex.org/W2104571954","https://openalex.org/W2105635932","https://openalex.org/W2107080958","https://openalex.org/W2107229032","https://openalex.org/W2107288243","https://openalex.org/W2109774731","https://openalex.org/W2109825189","https://openalex.org/W2110659753","https://openalex.org/W2113487301","https://openalex.org/W2117033416","https://openalex.org/W2118626712","https://openalex.org/W2120211641","https://openalex.org/W2124140026","https://openalex.org/W2125458922","https://openalex.org/W2129235020","https://openalex.org/W2129766733","https://openalex.org/W2141179114","https://openalex.org/W2146164255","https://openalex.org/W2148018445","https://openalex.org/W2150498905","https://openalex.org/W2151208459","https://openalex.org/W2151380152","https://openalex.org/W2153443706","https://openalex.org/W2158210223","https://openalex.org/W2160800591","https://openalex.org/W2170596266","https://openalex.org/W2170705819","https://openalex.org/W2172121953","https://openalex.org/W2329095262","https://openalex.org/W2493309683","https://openalex.org/W2610857016","https://openalex.org/W2798333393","https://openalex.org/W4210635432","https://openalex.org/W4246372467","https://openalex.org/W4292408570","https://openalex.org/W6678660627"],"related_works":["https://openalex.org/W2100169124","https://openalex.org/W2160133013","https://openalex.org/W2363263113","https://openalex.org/W1556745361","https://openalex.org/W2085933817","https://openalex.org/W2117070194","https://openalex.org/W2102400249","https://openalex.org/W2370730162","https://openalex.org/W1972717404","https://openalex.org/W2095362508"],"abstract_inverted_index":{"An":[0],"equivalent":[1,38,65],"model":[2],"for":[3,50,75,112,120,152],"a":[4,17,149],"multiple-input-multiple-output":[5],"communication":[6],"system":[7],"with":[8,94,106,158],"space-time":[9],"block":[10],"codes":[11,37],"(STBCs)":[12],"is":[13,68,125,146,164],"proposed":[14],"based":[15,58],"on":[16,59],"revealed":[18],"connection":[19],"between":[20],"STBCs":[21,42,93,124],"and":[22,31,70,90,102,110],"Euclidean":[23,36,66],"codes.":[24],"Examples":[25],"of":[26,35,56,63,78,92,97,108,123,130,133,139,142,155],"distance":[27,61,87],"spectra,":[28],"signal":[29,32,76,104],"constellations,":[30],"coordinate":[33],"diagrams":[34],"to":[39],"simplest":[40],"orthogonal":[41,144],"are":[43,82,100,115],"given.":[44,147],"A":[45,117],"new":[46,71,103,150],"asymptotic":[47],"upper":[48],"bound":[49],"the":[51,60,64,79,131,140,153],"symbol":[52],"error":[53],"rate":[54],"(SER)":[55],"STBCs,":[57],"spectra":[62],"codes,":[67],"derived,":[69],"general":[72,118],"design":[73],"criteria":[74],"constellations":[77,105],"optimal":[80],"code":[81,114,157],"proposed.":[83],"Some":[84],"bounds":[85],"relating":[86],"properties,":[88],"dimensionality,":[89],"cardinality":[91],"constituent":[95],"signals":[96,163],"equal":[98],"energy":[99],"given,":[101],"cardinalities":[107],"8":[109],"16":[111],"Alamouti's":[113,156],"designed.":[116],"methodology":[119],"performance":[121],"analysis":[122],"revisited.":[126],"As":[127],"an":[128,136,143],"example":[129],"application":[132],"this":[134],"methodology,":[135],"exact":[137],"evaluation":[138],"SER":[141,154],"STBC":[145],"Namely,":[148],"expression":[151],"binary":[159],"phase":[160],"shift":[161],"keying":[162],"derived.":[165]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}