{"id":"https://openalex.org/W4388117863","doi":"https://doi.org/10.23919/eusipco58844.2023.10289966","title":"Simplified Maximum SNR Beamformers with Spatial Coherence Matrix Modeling","display_name":"Simplified Maximum SNR Beamformers with Spatial Coherence Matrix Modeling","publication_year":2023,"publication_date":"2023-09-04","ids":{"openalex":"https://openalex.org/W4388117863","doi":"https://doi.org/10.23919/eusipco58844.2023.10289966"},"language":"en","primary_location":{"id":"doi:10.23919/eusipco58844.2023.10289966","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco58844.2023.10289966","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 31st European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-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/A5100635100","display_name":"Fan Zhang","orcid":"https://orcid.org/0000-0003-3088-5893"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fan Zhang","raw_affiliation_strings":["Northwestern Polytechnical University,CIAIC,Xi'an,Shaanxi,China,710072"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northwestern Polytechnical University,CIAIC,Xi'an,Shaanxi,China,710072","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028806892","display_name":"Chao Pan","orcid":"https://orcid.org/0000-0002-1214-041X"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Pan","raw_affiliation_strings":["Northwestern Polytechnical University,CIAIC,Xi'an,Shaanxi,China,710072"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northwestern Polytechnical University,CIAIC,Xi'an,Shaanxi,China,710072","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071376063","display_name":"Jacob Benesty","orcid":"https://orcid.org/0000-0002-0036-5865"},"institutions":[{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]},{"id":"https://openalex.org/I39481719","display_name":"Institut National de la Recherche Scientifique","ror":"https://ror.org/04td37d32","country_code":"CA","type":"education","lineage":["https://openalex.org/I39481719","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jacob Benesty","raw_affiliation_strings":["University of Quebec,INRS-EMT,Montreal,Canada,QC H5A 1K6"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Quebec,INRS-EMT,Montreal,Canada,QC H5A 1K6","institution_ids":["https://openalex.org/I159129438","https://openalex.org/I39481719"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056129529","display_name":"Jingdong Chen","orcid":"https://orcid.org/0000-0003-0083-9247"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingdong Chen","raw_affiliation_strings":["Northwestern Polytechnical University,CIAIC,Xi'an,Shaanxi,China,710072"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northwestern Polytechnical University,CIAIC,Xi'an,Shaanxi,China,710072","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3695,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.57032314,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"6","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10860","display_name":"Speech and Audio Processing","score":1.0,"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/T10860","display_name":"Speech and Audio Processing","score":1.0,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/beamforming","display_name":"Beamforming","score":0.6518627405166626},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.6488518714904785},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6209354400634766},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6196627616882324},{"id":"https://openalex.org/keywords/noise-power","display_name":"Noise power","score":0.5697004795074463},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5515968203544617},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5179994702339172},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.4904269874095917},{"id":"https://openalex.org/keywords/coherence","display_name":"Coherence (philosophical gambling strategy)","score":0.4755551517009735},{"id":"https://openalex.org/keywords/microphone","display_name":"Microphone","score":0.4647253155708313},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.46327587962150574},{"id":"https://openalex.org/keywords/microphone-array","display_name":"Microphone array","score":0.45538806915283203},{"id":"https://openalex.org/keywords/spectral-density","display_name":"Spectral density","score":0.4529239237308502},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4435112178325653},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.43985897302627563},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.41986721754074097},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.31552648544311523},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2712211608886719},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13923949003219604},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1263543665409088},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10948187112808228},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10584813356399536},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09439784288406372}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.6518627405166626},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.6488518714904785},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6209354400634766},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6196627616882324},{"id":"https://openalex.org/C203234222","wikidata":"https://www.wikidata.org/wiki/Q2133519","display_name":"Noise power","level":3,"score":0.5697004795074463},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5515968203544617},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5179994702339172},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.4904269874095917},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.4755551517009735},{"id":"https://openalex.org/C2778263558","wikidata":"https://www.wikidata.org/wiki/Q46384","display_name":"Microphone","level":3,"score":0.4647253155708313},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.46327587962150574},{"id":"https://openalex.org/C2778806681","wikidata":"https://www.wikidata.org/wiki/Q907293","display_name":"Microphone array","level":4,"score":0.45538806915283203},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.4529239237308502},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4435112178325653},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.43985897302627563},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.41986721754074097},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.31552648544311523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2712211608886719},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13923949003219604},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1263543665409088},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10948187112808228},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10584813356399536},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09439784288406372},{"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/C68115822","wikidata":"https://www.wikidata.org/wiki/Q1068172","display_name":"Sound pressure","level":2,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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:10.23919/eusipco58844.2023.10289966","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco58844.2023.10289966","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 31st European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G2878760066","display_name":null,"funder_award_id":"2021ZD0201502","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G3462351345","display_name":null,"funder_award_id":"61901318,62171373,61831019","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6985405272","display_name":null,"funder_award_id":"3102021HHZY030001","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W653761051","https://openalex.org/W1484805438","https://openalex.org/W1974875492","https://openalex.org/W2022048673","https://openalex.org/W2037117129","https://openalex.org/W2044342600","https://openalex.org/W2051428568","https://openalex.org/W2061074721","https://openalex.org/W2066218102","https://openalex.org/W2086446644","https://openalex.org/W2094287371","https://openalex.org/W2099655464","https://openalex.org/W2112469598","https://openalex.org/W2117678320","https://openalex.org/W2121141823","https://openalex.org/W2121767183","https://openalex.org/W2131935508","https://openalex.org/W2144404214","https://openalex.org/W2146324387","https://openalex.org/W2148024641","https://openalex.org/W2149693148","https://openalex.org/W2150678643","https://openalex.org/W2158143227","https://openalex.org/W2158336491","https://openalex.org/W2168729028","https://openalex.org/W2190061941","https://openalex.org/W2396852205","https://openalex.org/W2400339399","https://openalex.org/W2489919266","https://openalex.org/W2499048335","https://openalex.org/W2767831780","https://openalex.org/W2906487139","https://openalex.org/W2918296821","https://openalex.org/W3010965190","https://openalex.org/W3017350693","https://openalex.org/W3097063588","https://openalex.org/W3147539069","https://openalex.org/W3161538827","https://openalex.org/W3161899065","https://openalex.org/W3162341667","https://openalex.org/W4249052411","https://openalex.org/W4253928870","https://openalex.org/W6679729025","https://openalex.org/W6712309647","https://openalex.org/W6781921439"],"related_works":["https://openalex.org/W1879255185","https://openalex.org/W2120442551","https://openalex.org/W2769861442","https://openalex.org/W1980506188","https://openalex.org/W2900122540","https://openalex.org/W4240587264","https://openalex.org/W2011788874","https://openalex.org/W2041060376","https://openalex.org/W2963983801","https://openalex.org/W3119734852"],"abstract_inverted_index":{"The":[0,156],"maximum":[1,103],"signal-to-noise":[2],"ratio":[3,90],"(SNR)":[4],"beamformer":[5,33,57],"is":[6,34,84],"useful":[7],"in":[8,36,60,92,149,153,164],"a":[9,68,165],"wide":[10],"range":[11],"of":[12,18,31,80,151,158],"applications":[13,38],"to":[14,42,54,75,87,125,134],"enhance":[15],"speech":[16],"signals":[17],"interest":[19],"and":[20,46],"attenuate":[21],"as":[22,24,39],"much":[23],"possible":[25],"the":[26,44,56,77,81,88,109,127,139,159],"noise.":[27],"But":[28],"robust":[29],"implementation":[30,152],"this":[32,96],"challenging":[35],"practical":[37,69,154],"it":[40],"requires":[41],"know":[43],"signal":[45,110],"noise":[47],"covariance":[48,78,137],"matrices.":[49],"This":[50],"paper":[51],"investigates":[52],"how":[53],"simplify":[55],"for":[58],"use":[59],"small-spacing":[61,66],"microphone":[62],"arrays.":[63],"Indeed,":[64],"with":[65],"arrays,":[67],"parametric":[70,97],"model":[71,76],"can":[72],"be":[73],"used":[74],"matrix":[79],"observations,":[82],"which":[83,106],"closely":[85],"related":[86],"front-to-back":[89],"(FBR)":[91],"differential":[93],"beamforming.":[94],"With":[95],"model,":[98],"we":[99],"derive":[100],"two":[101],"simplified":[102],"SNR":[104],"beamformers,":[105],"depend":[107],"on":[108,122],"power":[111],"spectral":[112],"density":[113],"(PSD)":[114],"only.":[115],"We":[116],"then":[117],"propose":[118],"an":[119],"estimator":[120],"based":[121],"Frobenius-norm":[123],"minimization":[124],"estimate":[126,135],"PSD.":[128],"Since":[129],"PSDs":[130],"are":[131,162],"usually":[132],"easier":[133],"than":[136],"matrices,":[138],"developed":[140,160],"beamformers":[141,161],"have":[142],"great":[143],"advantage":[144],"over":[145],"its":[146],"traditional":[147],"counterparts":[148],"terms":[150],"systems.":[155],"performance":[157],"validated":[163],"simulated":[166],"classroom":[167],"environment.":[168]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}