{"id":"https://openalex.org/W3214817674","doi":"https://doi.org/10.1109/tvt.2021.3132377","title":"On the Distribution of SINR for Widely Linear MMSE MIMO Systems With Rectilinear or Quasi-Rectilinear Signals","display_name":"On the Distribution of SINR for Widely Linear MMSE MIMO Systems With Rectilinear or Quasi-Rectilinear Signals","publication_year":2021,"publication_date":"2021-12-03","ids":{"openalex":"https://openalex.org/W3214817674","doi":"https://doi.org/10.1109/tvt.2021.3132377","mag":"3214817674"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2021.3132377","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2021.3132377","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","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/A5100764220","display_name":"Wei Deng","orcid":"https://orcid.org/0000-0002-3922-3805"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Deng","raw_affiliation_strings":["School of Information Science and Engineering, Southeast University, 2 Sipailou, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-3922-3805","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Southeast University, 2 Sipailou, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005242197","display_name":"Yili Xia","orcid":"https://orcid.org/0000-0002-4402-8131"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yili Xia","raw_affiliation_strings":["School of Information Science and Engineering, Southeast University, 2 Sipailou, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-4402-8131","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Southeast University, 2 Sipailou, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100356607","display_name":"Zhe Li","orcid":"https://orcid.org/0000-0001-7130-7876"},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhe Li","raw_affiliation_strings":["School of Electronic and Information Engineering, Soochow University, Suzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-7130-7876","affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Soochow University, Suzhou, China","institution_ids":["https://openalex.org/I3923682"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101830725","display_name":"Wenjiang Pei","orcid":"https://orcid.org/0000-0002-0776-4607"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenjiang Pei","raw_affiliation_strings":["School of Information Science and Engineering, Southeast University, 2 Sipailou, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Southeast University, 2 Sipailou, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2045,"currency":"USD","value_usd":2045},"apc_paid":null,"fwci":0.1625,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.46404937,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"71","issue":"2","first_page":"1643","last_page":"1655"},"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/T10148","display_name":"Advanced MIMO Systems Optimization","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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9991000294685364,"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/mimo","display_name":"MIMO","score":0.6666330695152283},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.48564067482948303},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4835891127586365},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.427490770816803},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.330710768699646},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.26090002059936523},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1275463104248047}],"concepts":[{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6666330695152283},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.48564067482948303},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4835891127586365},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.427490770816803},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.330710768699646},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.26090002059936523},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1275463104248047},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2021.3132377","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2021.3132377","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1214864263","display_name":null,"funder_award_id":"61901291","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7763141213","display_name":"IEEE 802.11ac/ax\u5c04\u9891\u4e00\u81f4\u6027\u6d4b\u8bd5\u4eea\u5668\u8bbe\u8ba1\u53ca\u7cbe\u5bc6\u6821\u51c6\u4e0e\u8865\u507f\u65b9\u6cd5\u7814\u7a76","funder_award_id":"61971137","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8335968205","display_name":null,"funder_award_id":"61771124","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8972263335","display_name":null,"funder_award_id":"2020M671579","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W142384176","https://openalex.org/W639989723","https://openalex.org/W1522045078","https://openalex.org/W1964684947","https://openalex.org/W1966068407","https://openalex.org/W1969453765","https://openalex.org/W1972485395","https://openalex.org/W1990208398","https://openalex.org/W1994375763","https://openalex.org/W2031863063","https://openalex.org/W2042534008","https://openalex.org/W2066507945","https://openalex.org/W2067489830","https://openalex.org/W2077225194","https://openalex.org/W2079633783","https://openalex.org/W2095954570","https://openalex.org/W2097780353","https://openalex.org/W2098337110","https://openalex.org/W2102591969","https://openalex.org/W2109191808","https://openalex.org/W2120350343","https://openalex.org/W2124681992","https://openalex.org/W2125015779","https://openalex.org/W2125445053","https://openalex.org/W2127995963","https://openalex.org/W2129766733","https://openalex.org/W2137182390","https://openalex.org/W2139104935","https://openalex.org/W2139698741","https://openalex.org/W2154842995","https://openalex.org/W2160779252","https://openalex.org/W2161089263","https://openalex.org/W2165308503","https://openalex.org/W2165415702","https://openalex.org/W2167705656","https://openalex.org/W2168048200","https://openalex.org/W2174469529","https://openalex.org/W2268562018","https://openalex.org/W2476841360","https://openalex.org/W2516425642","https://openalex.org/W2725311323","https://openalex.org/W2753193470","https://openalex.org/W2761069238","https://openalex.org/W2776597419","https://openalex.org/W2890696043","https://openalex.org/W2897701207","https://openalex.org/W2898242456","https://openalex.org/W2908426266","https://openalex.org/W2918032436","https://openalex.org/W2920699082","https://openalex.org/W2962809601","https://openalex.org/W2975198107","https://openalex.org/W2985864960","https://openalex.org/W2987263882","https://openalex.org/W3023553154","https://openalex.org/W3092605538","https://openalex.org/W3113221786","https://openalex.org/W3157227646","https://openalex.org/W3168474081","https://openalex.org/W4211251910","https://openalex.org/W4254094126","https://openalex.org/W4293005804","https://openalex.org/W4362230038"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2504004674","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819"],"abstract_inverted_index":{"Although":[0],"the":[1,51,58,83,88,93,115,148,155,158,163,177,181,195],"widely":[2],"linear":[3],"least":[4],"mean":[5],"square":[6],"error":[7,160],"(WLMMSE)":[8],"receiver":[9,151],"has":[10],"been":[11],"an":[12,65,76,101,121],"appealing":[13],"option":[14],"for":[15,64,96],"multiple-input-multiple-output":[16],"(MIMO)":[17],"wireless":[18],"systems,":[19],"a":[20,39,105],"statistical":[21,59],"understanding":[22],"on":[23],"its":[24,62,173],"pose-detection":[25],"signal-to-interference-plus-noise":[26],"ratio":[27],"(SINR)":[28],"in":[29,85,109,152,168],"detail":[30],"is":[31,134],"still":[32],"missing.":[33],"To":[34],"this":[35],"end,":[36],"we":[37,112],"consider":[38],"WLMMSE":[40,97,149],"MIMO":[41,98,150],"transmission":[42],"system":[43],"with":[44,100],"rectilinear":[45],"or":[46],"quasi-rectilinear":[47],"(QR)":[48],"signals":[49],"over":[50,180],"uncorrelated":[52],"Rayleigh":[53],"fading":[54],"channel":[55],"and":[56,162,176],"investigate":[57],"properties":[60],"of":[61,82,87,92,154],"SINR":[63,84],"arbitrary":[66],"antenna":[67],"configuration":[68],"with$N_t$transmit":[69],"antennas":[70],"and$N_r$receive":[71],"ones.":[72],"We":[73],"first":[74],"derive":[75],"analytic":[77],"probability":[78],"density":[79],"function":[80,91,118],"(PDF)":[81],"terms":[86,153],"confluent":[89],"hypergeometric":[90],"second":[94],"kind,":[95],"systems":[99],"arbitrary$N_r$and$N_t=2,":[102],"3$.":[103],"For":[104],"more":[106,135],"general":[107],"case":[108],"practice,":[110],"i.e.,$N_t>3$,":[111],"resort":[113],"to":[114,119,143],"moment":[116],"generating":[117],"obtain":[120],"approximate":[122],"but":[123],"closed":[124,169],"form":[125],"PDF":[126],"under":[127],"some":[128],"mild":[129],"conditions,":[130],"which,":[131],"as":[132],"expected,":[133],"Gaussian-like":[136],"as$2N_r-N_t$increases.":[137],"The":[138],"so-derived":[139],"PDFs":[140],"are":[141,185],"able":[142],"provide":[144],"key":[145],"insights":[146],"into":[147],"outage":[156],"probability,":[157],"symbol":[159],"rate,":[161],"diversity":[164,174],"gain,":[165],"all":[166],"presented":[167],"form.":[170],"In":[171],"particular,":[172],"gain":[175,178],"improvement":[179],"conventional":[182],"LMMSE":[183],"one":[184],"explicitly":[186],"quantified":[187],"as$N_r-(N_t-1)/2$and$(N_t-1)/2$,":[188],"respectively.":[189],"Finally,":[190],"Monte":[191],"Carlo":[192],"simulations":[193],"support":[194],"analysis.":[196]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}
