{"id":"https://openalex.org/W2120020838","doi":"https://doi.org/10.1109/pimrc.2007.4394147","title":"Householder-Matrices based Analysis of SC Receivers over Rayleigh Fading Channels with Arbitrary Correlation","display_name":"Householder-Matrices based Analysis of SC Receivers over Rayleigh Fading Channels with Arbitrary Correlation","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2120020838","doi":"https://doi.org/10.1109/pimrc.2007.4394147","mag":"2120020838"},"language":"en","primary_location":{"id":"doi:10.1109/pimrc.2007.4394147","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrc.2007.4394147","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE 18th International Symposium on Personal, Indoor and Mobile Radio Communications","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/A5056331037","display_name":"George C. Alexandropoulos","orcid":"https://orcid.org/0000-0002-6587-1371"},"institutions":[{"id":"https://openalex.org/I174878644","display_name":"University of Patras","ror":"https://ror.org/017wvtq80","country_code":"GR","type":"education","lineage":["https://openalex.org/I174878644"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"George C. Alexandropoulos","raw_affiliation_strings":["Department of Computer Engineering & Informatics, University of Patras, Patras, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering & Informatics, University of Patras, Patras, Greece","institution_ids":["https://openalex.org/I174878644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009101477","display_name":"Kostas Berberidis","orcid":"https://orcid.org/0000-0003-2175-9043"},"institutions":[{"id":"https://openalex.org/I174878644","display_name":"University of Patras","ror":"https://ror.org/017wvtq80","country_code":"GR","type":"education","lineage":["https://openalex.org/I174878644"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Kostas Berberidis","raw_affiliation_strings":["Department of Computer Engineering & Informatics, University of Patras, Patras, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering & Informatics, University of Patras, Patras, Greece","institution_ids":["https://openalex.org/I174878644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017971272","display_name":"Nikos C. Sagias","orcid":"https://orcid.org/0000-0003-2434-066X"},"institutions":[{"id":"https://openalex.org/I203474044","display_name":"National Centre of Scientific Research \"Demokritos\"","ror":"https://ror.org/038jp4m40","country_code":"GR","type":"facility","lineage":["https://openalex.org/I203474044"]},{"id":"https://openalex.org/I4387152169","display_name":"Institute of Informatics & Telecommunications","ror":"https://ror.org/0396t6k89","country_code":null,"type":"facility","lineage":["https://openalex.org/I203474044","https://openalex.org/I4387152169"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Nikos C. Sagias","raw_affiliation_strings":["Institute of Informatics and Telecommunications, National Centre for Scientific Research, Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Informatics and Telecommunications, National Centre for Scientific Research, Athens, Greece","institution_ids":["https://openalex.org/I203474044","https://openalex.org/I4387152169"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051193373","display_name":"F. Lazarakis","orcid":"https://orcid.org/0000-0002-5745-4420"},"institutions":[{"id":"https://openalex.org/I203474044","display_name":"National Centre of Scientific Research \"Demokritos\"","ror":"https://ror.org/038jp4m40","country_code":"GR","type":"facility","lineage":["https://openalex.org/I203474044"]},{"id":"https://openalex.org/I4387152169","display_name":"Institute of Informatics & Telecommunications","ror":"https://ror.org/0396t6k89","country_code":null,"type":"facility","lineage":["https://openalex.org/I203474044","https://openalex.org/I4387152169"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Fotis I. Lazarakis","raw_affiliation_strings":["Institute of Informatics and Telecommunications, National Centre for Scientific Research, Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Informatics and Telecommunications, National Centre for Scientific Research, Athens, Greece","institution_ids":["https://openalex.org/I203474044","https://openalex.org/I4387152169"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054731517","display_name":"Antonis A. Alexandridis","orcid":null},"institutions":[{"id":"https://openalex.org/I203474044","display_name":"National Centre of Scientific Research \"Demokritos\"","ror":"https://ror.org/038jp4m40","country_code":"GR","type":"facility","lineage":["https://openalex.org/I203474044"]},{"id":"https://openalex.org/I4387152169","display_name":"Institute of Informatics & Telecommunications","ror":"https://ror.org/0396t6k89","country_code":null,"type":"facility","lineage":["https://openalex.org/I203474044","https://openalex.org/I4387152169"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Antonis A. Alexandridis","raw_affiliation_strings":["Institute of Informatics and Telecommunications, National Centre for Scientific Research, Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Informatics and Telecommunications, National Centre for Scientific Research, Athens, Greece","institution_ids":["https://openalex.org/I203474044","https://openalex.org/I4387152169"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090007134","display_name":"K. Dangakis","orcid":null},"institutions":[{"id":"https://openalex.org/I203474044","display_name":"National Centre of Scientific Research \"Demokritos\"","ror":"https://ror.org/038jp4m40","country_code":"GR","type":"facility","lineage":["https://openalex.org/I203474044"]},{"id":"https://openalex.org/I4387152169","display_name":"Institute of Informatics & Telecommunications","ror":"https://ror.org/0396t6k89","country_code":null,"type":"facility","lineage":["https://openalex.org/I203474044","https://openalex.org/I4387152169"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Kostas P. Dangakis","raw_affiliation_strings":["Institute of Informatics and Telecommunications, National Centre for Scientific Research, Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Informatics and Telecommunications, National Centre for Scientific Research, Athens, Greece","institution_ids":["https://openalex.org/I203474044","https://openalex.org/I4387152169"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998000264167786,"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":0.9998000264167786,"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/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.7598009705543518},{"id":"https://openalex.org/keywords/rayleigh-fading","display_name":"Rayleigh fading","score":0.7515760660171509},{"id":"https://openalex.org/keywords/rayleigh-scattering","display_name":"Rayleigh scattering","score":0.5760522484779358},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.5741760730743408},{"id":"https://openalex.org/keywords/cumulative-distribution-function","display_name":"Cumulative distribution function","score":0.556894063949585},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5532278418540955},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.5485636591911316},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.49479788541793823},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.45754334330558777},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44029417634010315},{"id":"https://openalex.org/keywords/fading-distribution","display_name":"Fading distribution","score":0.43053263425827026},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4127582907676697},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.4124550521373749},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40171897411346436},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3952912390232086},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3592262864112854},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2351754605770111},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20310765504837036},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14909565448760986},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.10250043869018555}],"concepts":[{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.7598009705543518},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.7515760660171509},{"id":"https://openalex.org/C46244369","wikidata":"https://www.wikidata.org/wiki/Q193709","display_name":"Rayleigh scattering","level":2,"score":0.5760522484779358},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.5741760730743408},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.556894063949585},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5532278418540955},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.5485636591911316},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.49479788541793823},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.45754334330558777},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44029417634010315},{"id":"https://openalex.org/C161126049","wikidata":"https://www.wikidata.org/wiki/Q5429266","display_name":"Fading distribution","level":5,"score":0.43053263425827026},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4127582907676697},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.4124550521373749},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40171897411346436},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3952912390232086},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3592262864112854},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2351754605770111},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20310765504837036},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14909565448760986},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.10250043869018555},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/pimrc.2007.4394147","is_oa":false,"landing_page_url":"https://doi.org/10.1109/pimrc.2007.4394147","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE 18th International Symposium on Personal, Indoor and Mobile Radio Communications","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":27,"referenced_works":["https://openalex.org/W604181985","https://openalex.org/W1522045078","https://openalex.org/W1981745143","https://openalex.org/W1996957620","https://openalex.org/W2046068803","https://openalex.org/W2092590148","https://openalex.org/W2097398761","https://openalex.org/W2101064697","https://openalex.org/W2101641563","https://openalex.org/W2105568424","https://openalex.org/W2106325446","https://openalex.org/W2106809303","https://openalex.org/W2108740391","https://openalex.org/W2126304552","https://openalex.org/W2131566996","https://openalex.org/W2142079531","https://openalex.org/W2149804040","https://openalex.org/W2155023848","https://openalex.org/W2155682372","https://openalex.org/W2167086859","https://openalex.org/W2167969644","https://openalex.org/W2493309683","https://openalex.org/W2537577017","https://openalex.org/W2798333393","https://openalex.org/W2798909945","https://openalex.org/W3008609509","https://openalex.org/W4248676392"],"related_works":["https://openalex.org/W1495911156","https://openalex.org/W2100259668","https://openalex.org/W1995000596","https://openalex.org/W2116044594","https://openalex.org/W2160367716","https://openalex.org/W2124541664","https://openalex.org/W1503152075","https://openalex.org/W2160570982","https://openalex.org/W2052600062","https://openalex.org/W2154316601"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"new":[3],"results":[4,86],"for":[5,31,57],"the":[6,44,58],"multivariate":[7],"Rayleigh":[8,73],"distribution":[9],"with":[10,87],"an":[11,19,54],"arbitrary":[12],"correlation":[13],"matrix":[14],"are":[15,40,76],"presented.":[16],"By":[17],"using":[18],"efficient":[20],"tridiagonalization":[21],"method":[22],"based":[23],"on":[24,43],"Householder":[25],"matrices,":[26],"closed-form":[27],"union":[28,50],"upper":[29,51],"bounds":[30],"its":[32],"joint":[33],"probability":[34,60],"density":[35,38],"and":[36,53,70],"cumulative":[37],"functions":[39],"derived.":[41],"Based":[42],"proposed":[45],"mathematical":[46],"analysis,":[47],"a":[48],"tight":[49],"bound":[52],"analytical":[55],"approximation":[56],"outage":[59],"of":[61],"multibranch":[62],"selection":[63],"diversity":[64],"receivers":[65],"operating":[66],"over":[67],"identically":[68],"distributed":[69],"arbitrarily":[71],"correlated":[72],"fading":[74],"channels":[75],"obtained.":[77],"Our":[78],"analysis":[79],"is":[80],"verified":[81],"by":[82],"comparing":[83],"numerically":[84],"evaluated":[85],"extensive":[88],"computer":[89],"simulation":[90],"ones.":[91]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}