{"id":"https://openalex.org/W2005103458","doi":"https://doi.org/10.1109/tassp.1987.1165239","title":"Performance analysis of the optimum beamformer in the presence of correlated sources and its behavior under spatial smoothing","display_name":"Performance analysis of the optimum beamformer in the presence of correlated sources and its behavior under spatial smoothing","publication_year":1987,"publication_date":"1987-07-01","ids":{"openalex":"https://openalex.org/W2005103458","doi":"https://doi.org/10.1109/tassp.1987.1165239","mag":"2005103458"},"language":"en","primary_location":{"id":"doi:10.1109/tassp.1987.1165239","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1987.1165239","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Acoustics, Speech, and Signal Processing","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/A5019967232","display_name":"Vishnu Reddy","orcid":"https://orcid.org/0000-0001-5474-3289"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"V. Reddy","raw_affiliation_strings":["Information Systems Laboratory, University of Stanford, Stanford, CA, USA","Stanford University Stanford CA"],"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, University of Stanford, Stanford, CA, USA","institution_ids":[]},{"raw_affiliation_string":"Stanford University Stanford CA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110271568","display_name":"A. Paulraj","orcid":"https://orcid.org/0009-0003-4784-8738"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Paulraj","raw_affiliation_strings":["Information Systems Laboratory, University of Stanford, Stanford, CA, USA","[Information Systems, Laboratory, University of Stanford, Stanford, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, University of Stanford, Stanford, CA, USA","institution_ids":[]},{"raw_affiliation_string":"[Information Systems, Laboratory, University of Stanford, Stanford, CA, USA]","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014088470","display_name":"T. Kailath","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T. Kailath","raw_affiliation_strings":["Information Systems Laboratory, University of Stanford, Stanford, CA, USA","[Information Systems, Laboratory, University of Stanford, Stanford, CA, USA]"],"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, University of Stanford, Stanford, CA, USA","institution_ids":[]},{"raw_affiliation_string":"[Information Systems, Laboratory, University of Stanford, Stanford, CA, USA]","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019967232"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":6.4907,"has_fulltext":false,"cited_by_count":184,"citation_normalized_percentile":{"value":0.97287652,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"35","issue":"7","first_page":"927","last_page":"936"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9991999864578247,"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/T10891","display_name":"Radar Systems and Signal Processing","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/smoothing","display_name":"Smoothing","score":0.9141901731491089},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.700292706489563},{"id":"https://openalex.org/keywords/spatial-correlation","display_name":"Spatial correlation","score":0.5663391947746277},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5457417964935303},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5199381113052368},{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.4714920222759247},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.45346084237098694},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44487351179122925},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42827171087265015},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4257180690765381},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.42140254378318787},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.33128854632377625},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14397338032722473},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09862667322158813},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09841197729110718}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.9141901731491089},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.700292706489563},{"id":"https://openalex.org/C150060386","wikidata":"https://www.wikidata.org/wiki/Q7574054","display_name":"Spatial correlation","level":2,"score":0.5663391947746277},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5457417964935303},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5199381113052368},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.4714920222759247},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.45346084237098694},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44487351179122925},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42827171087265015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4257180690765381},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.42140254378318787},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.33128854632377625},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14397338032722473},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09862667322158813},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09841197729110718},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tassp.1987.1165239","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1987.1165239","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Acoustics, Speech, and Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W124051639","https://openalex.org/W1508255502","https://openalex.org/W1559749676","https://openalex.org/W2014632921","https://openalex.org/W2023603021","https://openalex.org/W2043945340","https://openalex.org/W2060812662","https://openalex.org/W2061357392","https://openalex.org/W2066218102","https://openalex.org/W2112204969","https://openalex.org/W2130991928","https://openalex.org/W2134883135","https://openalex.org/W2136606783","https://openalex.org/W2137956822","https://openalex.org/W2144244295","https://openalex.org/W2145497900","https://openalex.org/W2159982962","https://openalex.org/W2164821266","https://openalex.org/W4393433556","https://openalex.org/W6661545423"],"related_works":["https://openalex.org/W1978572805","https://openalex.org/W2383807498","https://openalex.org/W1997992934","https://openalex.org/W1987225439","https://openalex.org/W1988032185","https://openalex.org/W2093216775","https://openalex.org/W2898021863","https://openalex.org/W2521335480","https://openalex.org/W3121692546","https://openalex.org/W2611370603"],"abstract_inverted_index":{"In":[0,33],"this":[1],"paper,":[2],"we":[3,35,79],"first":[4],"study":[5],"the":[6,14,24,39,43,46,50,55,60,67,86,94,99,104,109],"signal":[7,112],"cancellation":[8,113],"and":[9,28,42,59,64,96,101,114],"interference":[10,47,115],"rejection":[11,116],"effects":[12],"of":[13,26,49,54,76,98,106,123],"optimum":[15],"(constrained":[16],"least":[17],"squares":[18],"or":[19],"minimum":[20],"variance)":[21],"beamformer":[22,51],"in":[23,45,52,73,111],"presence":[25],"partially":[27],"fully":[29],"correlated":[30],"interfering":[31],"sources.":[32],"particular,":[34],"derive":[36],"expressions":[37],"for":[38],"output":[40],"power":[41],"gain":[44],"direction":[48],"terms":[53],"source":[56],"powers,":[57],"correlation,":[58],"sensor":[61],"noise":[62],"power,":[63],"show":[65,80],"quantitatively":[66],"penalties":[68],"arising":[69],"from":[70],"increasing":[71],"correlation":[72],"several":[74],"scenarios":[75],"interest.":[77],"Next,":[78],"that":[81,91],"spatial":[82,120],"smoothing":[83,107],"progressively":[84],"decorrelates":[85],"sources":[87],"at":[88],"a":[89],"rate":[90],"depends":[92],"on":[93],"spacing":[95],"directions":[97],"sources,":[100],"thus":[102],"relate":[103],"degree":[105],"to":[108,128],"improvement":[110],"behavior":[117],"provided":[118],"by":[119],"smoothing.":[121],"Results":[122],"computer":[124],"simulations":[125],"are":[126],"included":[127],"support":[129],"our":[130],"analysis.":[131]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
