{"id":"https://openalex.org/W1983583271","doi":"https://doi.org/10.1109/ssp.2012.6319833","title":"Approximate eigenvalue distribution of a cylindrically isotropic noise sample covariance matrix","display_name":"Approximate eigenvalue distribution of a cylindrically isotropic noise sample covariance matrix","publication_year":2012,"publication_date":"2012-08-01","ids":{"openalex":"https://openalex.org/W1983583271","doi":"https://doi.org/10.1109/ssp.2012.6319833","mag":"1983583271"},"language":"en","primary_location":{"id":"doi:10.1109/ssp.2012.6319833","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssp.2012.6319833","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Statistical Signal Processing Workshop (SSP)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1610.08274","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034855430","display_name":"Saurav R. Tuladhar","orcid":"https://orcid.org/0000-0003-0964-5609"},"institutions":[{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]},{"id":"https://openalex.org/I100633361","display_name":"University of Massachusetts Dartmouth","ror":"https://ror.org/00fzmm222","country_code":"US","type":"education","lineage":["https://openalex.org/I100633361"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Saurav R. Tuladhar","raw_affiliation_strings":["ECE Department, University of Massachusetts, North Dartmouth, MA, USA","University of Massachusetts, ECE Dept., N. Dartmouth, 02740, USA"],"affiliations":[{"raw_affiliation_string":"ECE Department, University of Massachusetts, North Dartmouth, MA, USA","institution_ids":["https://openalex.org/I100633361"]},{"raw_affiliation_string":"University of Massachusetts, ECE Dept., N. Dartmouth, 02740, USA","institution_ids":["https://openalex.org/I24603500"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013892052","display_name":"John R. Buck","orcid":"https://orcid.org/0000-0002-2809-8164"},"institutions":[{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]},{"id":"https://openalex.org/I100633361","display_name":"University of Massachusetts Dartmouth","ror":"https://ror.org/00fzmm222","country_code":"US","type":"education","lineage":["https://openalex.org/I100633361"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John R. Buck","raw_affiliation_strings":["ECE Department, University of Massachusetts, North Dartmouth, MA, USA","University of Massachusetts, ECE Dept., N. Dartmouth, 02740, USA"],"affiliations":[{"raw_affiliation_string":"ECE Department, University of Massachusetts, North Dartmouth, MA, USA","institution_ids":["https://openalex.org/I100633361"]},{"raw_affiliation_string":"University of Massachusetts, ECE Dept., N. Dartmouth, 02740, USA","institution_ids":["https://openalex.org/I24603500"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040405628","display_name":"Kathleen E. Wage","orcid":"https://orcid.org/0000-0002-3412-1885"},"institutions":[{"id":"https://openalex.org/I162714631","display_name":"George Mason University","ror":"https://ror.org/02jqj7156","country_code":"US","type":"education","lineage":["https://openalex.org/I162714631"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kathleen E. Wage","raw_affiliation_strings":["ECE Department, George Mason University, Fairfax, VA, USA","George Mason University, ECE Department, Fairfax, VA 22030 USA"],"affiliations":[{"raw_affiliation_string":"ECE Department, George Mason University, Fairfax, VA, USA","institution_ids":["https://openalex.org/I162714631"]},{"raw_affiliation_string":"George Mason University, ECE Department, Fairfax, VA 22030 USA","institution_ids":["https://openalex.org/I162714631"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034855430"],"corresponding_institution_ids":["https://openalex.org/I100633361","https://openalex.org/I24603500"],"apc_list":null,"apc_paid":null,"fwci":0.7446,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72436751,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"17","issue":null,"first_page":"824","last_page":"827"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10860","display_name":"Speech and Audio Processing","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8427364230155945},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.6834161877632141},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.662176787853241},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5919390916824341},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5048323273658752},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5008225440979004},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.4898969531059265},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47268277406692505},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4353219270706177},{"id":"https://openalex.org/keywords/estimation-of-covariance-matrices","display_name":"Estimation of covariance matrices","score":0.433764785528183},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42926883697509766},{"id":"https://openalex.org/keywords/covariance-function","display_name":"Covariance function","score":0.42589202523231506},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3221508264541626},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31827324628829956},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24134725332260132},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15632787346839905},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.08483371138572693},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08275353908538818},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07925978302955627},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.0667153000831604},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.06608667969703674}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8427364230155945},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.6834161877632141},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.662176787853241},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5919390916824341},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5048323273658752},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5008225440979004},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.4898969531059265},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47268277406692505},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4353219270706177},{"id":"https://openalex.org/C180877172","wikidata":"https://www.wikidata.org/wiki/Q5401390","display_name":"Estimation of covariance matrices","level":3,"score":0.433764785528183},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42926883697509766},{"id":"https://openalex.org/C137250428","wikidata":"https://www.wikidata.org/wiki/Q5178897","display_name":"Covariance function","level":3,"score":0.42589202523231506},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3221508264541626},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31827324628829956},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24134725332260132},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15632787346839905},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.08483371138572693},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08275353908538818},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07925978302955627},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0667153000831604},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.06608667969703674},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ssp.2012.6319833","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ssp.2012.6319833","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Statistical Signal Processing Workshop (SSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1610.08274","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1610.08274","pdf_url":"https://arxiv.org/pdf/1610.08274","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1610.08274","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1610.08274","pdf_url":"https://arxiv.org/pdf/1610.08274","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W93530381","https://openalex.org/W653761051","https://openalex.org/W1967884132","https://openalex.org/W2021662808","https://openalex.org/W2060581589","https://openalex.org/W2075320605","https://openalex.org/W2129741794","https://openalex.org/W2141262522","https://openalex.org/W2147276373","https://openalex.org/W4231407710","https://openalex.org/W4388534025","https://openalex.org/W6603787252"],"related_works":["https://openalex.org/W1991005374","https://openalex.org/W2022823194","https://openalex.org/W2050026105","https://openalex.org/W2126916073","https://openalex.org/W2887132723","https://openalex.org/W2921280830","https://openalex.org/W2756533552","https://openalex.org/W1539641106","https://openalex.org/W1987404909","https://openalex.org/W2901862782"],"abstract_inverted_index":{"The":[0,59,81,96],"statistical":[1],"behavior":[2],"of":[3,6,20,26,44,55,61,92,107],"the":[4,7,18,35,42,62,78,94],"eigenvalues":[5,108],"sample":[8],"covariance":[9,64],"matrix":[10,65],"(SCM)":[11],"plays":[12],"a":[13,31,45,52],"key":[14],"role":[15],"in":[16,24,84],"determining":[17],"performance":[19],"adaptive":[21],"beamformers":[22],"(ABF)":[23],"presence":[25],"noise.":[27],"This":[28],"paper":[29],"presents":[30],"method":[32,102],"to":[33],"compute":[34],"approximate":[36,97],"eigenvalue":[37],"density":[38,72],"function":[39],"(EDF)":[40],"for":[41],"SCM":[43,79],"cylindrically":[46],"isotropic":[47],"noise":[48],"field":[49],"when":[50],"only":[51],"finite":[53],"number":[54],"shapshots":[56],"are":[57],"available.":[58],"EDF":[60,98],"ensemble":[63],"(ECM)":[66],"is":[67],"modeled":[68],"as":[69],"an":[70],"atomic":[71],"with":[73,105],"many":[74],"fewer":[75],"atoms":[76],"than":[77],"size.":[80],"model":[82],"results":[83],"substantial":[85],"computational":[86],"savings":[87],"over":[88],"more":[89],"direct":[90],"methods":[91],"computing":[93],"EDF.":[95],"obtained":[99,109],"from":[100,110],"this":[101],"agrees":[103],"closely":[104],"histograms":[106],"simulation.":[111]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}