{"id":"https://openalex.org/W2104523494","doi":"https://doi.org/10.1109/icassp.2004.1326844","title":"Quadratic forms on complex random matrices and channel capacity","display_name":"Quadratic forms on complex random matrices and channel capacity","publication_year":2004,"publication_date":"2004-09-28","ids":{"openalex":"https://openalex.org/W2104523494","doi":"https://doi.org/10.1109/icassp.2004.1326844","mag":"2104523494"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2004.1326844","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2004.1326844","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 IEEE International Conference on Acoustics, Speech, and Signal Processing","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/A5091847007","display_name":"Tharmalingam Ratnarajah","orcid":"https://orcid.org/0000-0002-7636-1246"},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"T. Ratnarajah","raw_affiliation_strings":["University of Ottawa, Ottawa, ONT, Canada","[Ottawa Univ., Ont., Canada]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Ottawa, Ottawa, ONT, Canada","institution_ids":["https://openalex.org/I153718931"]},{"raw_affiliation_string":"[Ottawa Univ., Ont., Canada]","institution_ids":["https://openalex.org/I153718931"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109371455","display_name":"R\u00e9mi Vaillancourt","orcid":null},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"R. Vaillancourt","raw_affiliation_strings":["University of Ottawa, Ottawa, ONT, Canada","[Ottawa Univ., Ont., Canada]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Ottawa, Ottawa, ONT, Canada","institution_ids":["https://openalex.org/I153718931"]},{"raw_affiliation_string":"[Ottawa Univ., Ont., Canada]","institution_ids":["https://openalex.org/I153718931"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I153718931"],"apc_list":null,"apc_paid":null,"fwci":0.8041,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73410344,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"iv","last_page":"385"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","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"}},"topics":[{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","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/T11716","display_name":"Random Matrices and Applications","score":0.9994000196456909,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9986000061035156,"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/ergodic-theory","display_name":"Ergodic theory","score":0.7908190488815308},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.7361696362495422},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.7133247256278992},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.6310453414916992},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.5862258672714233},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5689821243286133},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5330926775932312},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5127988457679749},{"id":"https://openalex.org/keywords/ergodicity","display_name":"Ergodicity","score":0.508000910282135},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5002093315124512},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.488858163356781},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.44096478819847107},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.43290606141090393},{"id":"https://openalex.org/keywords/spatial-correlation","display_name":"Spatial correlation","score":0.4256078004837036},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3997883200645447},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.38327357172966003},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2856050133705139},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20767632126808167},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19010260701179504},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1481609046459198},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12920454144477844},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10814034938812256},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08297926187515259}],"concepts":[{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.7908190488815308},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.7361696362495422},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.7133247256278992},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.6310453414916992},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.5862258672714233},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5689821243286133},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5330926775932312},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5127988457679749},{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.508000910282135},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5002093315124512},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.488858163356781},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.44096478819847107},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.43290606141090393},{"id":"https://openalex.org/C150060386","wikidata":"https://www.wikidata.org/wiki/Q7574054","display_name":"Spatial correlation","level":2,"score":0.4256078004837036},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3997883200645447},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.38327357172966003},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2856050133705139},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20767632126808167},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19010260701179504},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1481609046459198},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12920454144477844},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10814034938812256},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08297926187515259},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2004.1326844","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2004.1326844","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.5600000023841858,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1974637548","https://openalex.org/W1992225165","https://openalex.org/W2120350343","https://openalex.org/W2130509920","https://openalex.org/W2159740295","https://openalex.org/W2169693117","https://openalex.org/W2333504782","https://openalex.org/W2947000318","https://openalex.org/W4293005804","https://openalex.org/W4362230038"],"related_works":["https://openalex.org/W2009962825","https://openalex.org/W1972942382","https://openalex.org/W124275629","https://openalex.org/W2385944013","https://openalex.org/W2136727990","https://openalex.org/W1722744795","https://openalex.org/W2950014027","https://openalex.org/W2952991236","https://openalex.org/W964575223","https://openalex.org/W4296948412"],"abstract_inverted_index":{"Quadratic":[0],"forms":[1],"on":[2],"complex":[3,59],"random":[4],"matrices":[5],"and":[6,45],"their":[7],"joint":[8],"eigenvalue":[9],"densities":[10],"are":[11,36,54],"derived":[12],"with":[13],"the":[14,18,39,42,47,69,72],"goal":[15],"of":[16,22,58,71],"studying":[17],"ergodic":[19,49],"channel":[20,66],"capacity":[21,50,70],"multiple-input":[23],"multiple-output":[24],"(MIMO)":[25],"Rayleigh":[26],"distributed":[27],"wireless":[28],"communication":[29,73],"channels.":[30],"We":[31],"consider":[32],"MIMO":[33],"channels":[34],"which":[35],"correlated":[37],"at":[38],"transmitter":[40],"and/or":[41],"receiver":[43],"ends":[44],"evaluate":[46],"corresponding":[48],"formulas.":[51],"These":[52],"formulas":[53],"expressed":[55],"in":[56],"terms":[57],"zonal":[60],"polynomials.":[61],"This":[62],"study":[63],"shows":[64],"how":[65],"correlation":[67],"degrades":[68],"systems.":[74]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}