{"id":"https://openalex.org/W1672148048","doi":"https://doi.org/10.1109/isit.2015.7282925","title":"On the finite-SNR Diversity-Multiplexing Tradeoff in large Rayleigh product channels","display_name":"On the finite-SNR Diversity-Multiplexing Tradeoff in large Rayleigh product channels","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1672148048","doi":"https://doi.org/10.1109/isit.2015.7282925","mag":"1672148048"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2015.7282925","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282925","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","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/A5100741497","display_name":"Zhong Zheng","orcid":"https://orcid.org/0000-0002-3955-2510"},"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":true,"raw_author_name":"Zhong Zheng","raw_affiliation_strings":["Department of Communications and Networking, Aalto University, Finland","[Department of Communications and Networking Aalto University, Finland]"],"affiliations":[{"raw_affiliation_string":"Department of Communications and Networking, Aalto University, Finland","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"[Department of Communications and Networking Aalto University, Finland]","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003062979","display_name":"Lu Wei","orcid":"https://orcid.org/0000-0002-8065-0956"},"institutions":[{"id":"https://openalex.org/I1323065761","display_name":"Statistics Finland","ror":"https://ror.org/01n1rg855","country_code":"FI","type":"other","lineage":["https://openalex.org/I1323065761"]},{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"education","lineage":["https://openalex.org/I133731052"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Lu Wei","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Helsinki, Finland","Department of Mathematics and Statistics, University of Helsinki, FINLAND"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Helsinki, Finland","institution_ids":["https://openalex.org/I1323065761","https://openalex.org/I133731052"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Helsinki, FINLAND","institution_ids":["https://openalex.org/I1323065761","https://openalex.org/I133731052"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036407030","display_name":"Roland Speicher","orcid":"https://orcid.org/0000-0002-7986-7496"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Roland Speicher","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Saarland University, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Saarland University, Germany","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026710677","display_name":"Ralf R. M\u00fcller","orcid":"https://orcid.org/0000-0003-3780-9308"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ralf Muller","raw_affiliation_strings":["Institute for Digital Communications, Friedrich-Alexander-Universitat, Erlangen-N\u00fcrnberg, Germany","Institute for Digital Communications, Friedrich-Alexander-Universit\u00e4 t Erlangen-N\u00fc rnberg, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Digital Communications, Friedrich-Alexander-Universitat, Erlangen-N\u00fcrnberg, Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Institute for Digital Communications, Friedrich-Alexander-Universit\u00e4 t Erlangen-N\u00fc rnberg, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051300130","display_name":"Jyri H\u00e4m\u00e4l\u00e4inen","orcid":"https://orcid.org/0000-0002-3305-2961"},"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":"Jyri Hamalainen","raw_affiliation_strings":["Department of Communications and Networking, Aalto University, Finland","[Department of Communications and Networking Aalto University, Finland]"],"affiliations":[{"raw_affiliation_string":"Department of Communications and Networking, Aalto University, Finland","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"[Department of Communications and Networking Aalto University, Finland]","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013196979","display_name":"Jukka Corander","orcid":"https://orcid.org/0000-0002-7752-1942"},"institutions":[{"id":"https://openalex.org/I1323065761","display_name":"Statistics Finland","ror":"https://ror.org/01n1rg855","country_code":"FI","type":"other","lineage":["https://openalex.org/I1323065761"]},{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"education","lineage":["https://openalex.org/I133731052"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Jukka Corander","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Helsinki, Finland","Department of Mathematics and Statistics, University of Helsinki, FINLAND"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Helsinki, Finland","institution_ids":["https://openalex.org/I1323065761","https://openalex.org/I133731052"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Helsinki, FINLAND","institution_ids":["https://openalex.org/I1323065761","https://openalex.org/I133731052"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100741497"],"corresponding_institution_ids":["https://openalex.org/I9927081"],"apc_list":null,"apc_paid":null,"fwci":0.6888,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72488001,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"32","issue":null,"first_page":"2593","last_page":"2597"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9994999766349792,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9993000030517578,"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/multiplexing","display_name":"Multiplexing","score":0.6693962812423706},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5810419321060181},{"id":"https://openalex.org/keywords/rayleigh-scattering","display_name":"Rayleigh scattering","score":0.5043460130691528},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.48800793290138245},{"id":"https://openalex.org/keywords/diversity-gain","display_name":"Diversity gain","score":0.44988328218460083},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.43371865153312683},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4336675703525543},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4183826744556427},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4133869707584381},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40537726879119873},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.38268133997917175},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3102782964706421},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2991819679737091},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.161422461271286},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.13341546058654785},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.10552546381950378},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09605306386947632},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07592147588729858}],"concepts":[{"id":"https://openalex.org/C19275194","wikidata":"https://www.wikidata.org/wiki/Q222903","display_name":"Multiplexing","level":2,"score":0.6693962812423706},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5810419321060181},{"id":"https://openalex.org/C46244369","wikidata":"https://www.wikidata.org/wiki/Q193709","display_name":"Rayleigh scattering","level":2,"score":0.5043460130691528},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.48800793290138245},{"id":"https://openalex.org/C164785522","wikidata":"https://www.wikidata.org/wiki/Q5283966","display_name":"Diversity gain","level":4,"score":0.44988328218460083},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.43371865153312683},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4336675703525543},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4183826744556427},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4133869707584381},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40537726879119873},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.38268133997917175},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3102782964706421},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2991819679737091},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.161422461271286},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.13341546058654785},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.10552546381950378},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09605306386947632},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07592147588729858},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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":1,"locations":[{"id":"doi:10.1109/isit.2015.7282925","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282925","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1575018300","https://openalex.org/W1705576911","https://openalex.org/W1947814997","https://openalex.org/W1965748679","https://openalex.org/W1969097180","https://openalex.org/W2028110970","https://openalex.org/W2053029150","https://openalex.org/W2080881024","https://openalex.org/W2087421547","https://openalex.org/W2095383349","https://openalex.org/W2120339991","https://openalex.org/W2124899794","https://openalex.org/W2129766733","https://openalex.org/W2136621718","https://openalex.org/W2144421688","https://openalex.org/W2148044492","https://openalex.org/W2148089951","https://openalex.org/W2152172611","https://openalex.org/W2155053896","https://openalex.org/W2159931694","https://openalex.org/W2168571551","https://openalex.org/W2413431497","https://openalex.org/W2963240195","https://openalex.org/W2963999267","https://openalex.org/W3098315511","https://openalex.org/W3104134788","https://openalex.org/W6634485960","https://openalex.org/W6715385494"],"related_works":["https://openalex.org/W2021297661","https://openalex.org/W2074152803","https://openalex.org/W2064700140","https://openalex.org/W2133980965","https://openalex.org/W2951243981","https://openalex.org/W2150109714","https://openalex.org/W4299740817","https://openalex.org/W2139879241","https://openalex.org/W2075982385","https://openalex.org/W2750957469"],"abstract_inverted_index":{"The":[0,15],"Diversity-Multiplexing":[1],"Tradeoff":[2],"(DMT)":[3],"is":[4,18],"studied":[5],"for":[6,43],"the":[7,26,44,48,58,62,67],"large":[8],"Rayleigh":[9],"product":[10],"channel":[11,27,64],"at":[12],"non-asymptotic":[13],"SNRs.":[14],"first":[16],"result":[17],"that,":[19],"as":[20],"matrix":[21],"dimensions":[22],"growing":[23],"to":[24,30],"infinity,":[25],"capacity":[28],"converges":[29],"a":[31,40],"Gaussian":[32],"random":[33],"variable.":[34],"Based":[35],"on":[36],"this,":[37],"we":[38,53],"derive":[39],"compact":[41],"expression":[42],"finite-SNR":[45],"DMT.":[46],"From":[47],"analytical":[49],"and":[50],"numerical":[51],"results,":[52],"gain":[54],"useful":[55],"insight":[56],"into":[57],"fundamental":[59],"tradeoff":[60],"of":[61],"considered":[63],"model":[65],"in":[66],"realistic":[68],"SNR":[69],"regime.":[70]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
