{"id":"https://openalex.org/W1936175085","doi":"https://doi.org/10.1186/s13634-015-0250-x","title":"A general superdirectivity model for arbitrary sensor arrays","display_name":"A general superdirectivity model for arbitrary sensor arrays","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W1936175085","doi":"https://doi.org/10.1186/s13634-015-0250-x","mag":"1936175085"},"language":"en","primary_location":{"id":"doi:10.1186/s13634-015-0250-x","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13634-015-0250-x","pdf_url":"https://link.springer.com/content/pdf/10.1186/s13634-015-0250-x.pdf","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1110-8657","issn":["1110-8657","1687-0433","1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1186/s13634-015-0250-x.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016853326","display_name":"Yong Wang","orcid":"https://orcid.org/0000-0002-4459-6526"},"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":"Yong Wang","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Xi\u2019an, 710072, China","School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an, CHINA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi\u2019an, 710072, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an, CHINA","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100706919","display_name":"Yixin Yang","orcid":"https://orcid.org/0000-0001-6180-676X"},"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":"Yixin Yang","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Xi\u2019an, 710072, China","School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an, CHINA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi\u2019an, 710072, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an, CHINA","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103239908","display_name":"Zhengyao He","orcid":"https://orcid.org/0000-0002-0769-3589"},"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":"Zhengyao He","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Xi\u2019an, 710072, China","School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an, CHINA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi\u2019an, 710072, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an, CHINA","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059934834","display_name":"Yina Han","orcid":"https://orcid.org/0000-0001-9713-1821"},"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":"Yina Han","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Xi\u2019an, 710072, China","School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an, CHINA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi\u2019an, 710072, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an, CHINA","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100556591","display_name":"Yuanliang Ma","orcid":null},"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":true,"raw_author_name":"Yuanliang Ma","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Xi\u2019an, 710072, China","School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an, CHINA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi\u2019an, 710072, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an, CHINA","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100556591"],"corresponding_institution_ids":["https://openalex.org/I17145004"],"apc_list":{"value":1665,"currency":"USD","value_usd":1665},"apc_paid":{"value":1665,"currency":"USD","value_usd":1665},"fwci":1.8469,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.85439937,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2015","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10860","display_name":"Speech and Audio Processing","score":0.9998000264167786,"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":0.9998000264167786,"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9994999766349792,"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/T11946","display_name":"Antenna Design and Optimization","score":0.9984999895095825,"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/beamwidth","display_name":"Beamwidth","score":0.8210543394088745},{"id":"https://openalex.org/keywords/orthogonalization","display_name":"Orthogonalization","score":0.7905023694038391},{"id":"https://openalex.org/keywords/directivity","display_name":"Directivity","score":0.7777386903762817},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.7165663838386536},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5356736779212952},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.513580322265625},{"id":"https://openalex.org/keywords/sensor-array","display_name":"Sensor array","score":0.45104408264160156},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.41369664669036865},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3969273567199707},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.32219308614730835},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.15847593545913696},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13681012392044067}],"concepts":[{"id":"https://openalex.org/C190060920","wikidata":"https://www.wikidata.org/wiki/Q4876232","display_name":"Beamwidth","level":3,"score":0.8210543394088745},{"id":"https://openalex.org/C47559304","wikidata":"https://www.wikidata.org/wiki/Q1702189","display_name":"Orthogonalization","level":2,"score":0.7905023694038391},{"id":"https://openalex.org/C189039984","wikidata":"https://www.wikidata.org/wiki/Q8225412","display_name":"Directivity","level":3,"score":0.7777386903762817},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7165663838386536},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5356736779212952},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.513580322265625},{"id":"https://openalex.org/C66251956","wikidata":"https://www.wikidata.org/wiki/Q7451086","display_name":"Sensor array","level":2,"score":0.45104408264160156},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.41369664669036865},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3969273567199707},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.32219308614730835},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.15847593545913696},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13681012392044067},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1186/s13634-015-0250-x","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13634-015-0250-x","pdf_url":"https://link.springer.com/content/pdf/10.1186/s13634-015-0250-x.pdf","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1110-8657","issn":["1110-8657","1687-0433","1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1186/s13634-015-0250-x","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13634-015-0250-x","pdf_url":"https://link.springer.com/content/pdf/10.1186/s13634-015-0250-x.pdf","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1110-8657","issn":["1110-8657","1687-0433","1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1523760434","display_name":null,"funder_award_id":"3102014JCQ01008","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G3344802283","display_name":"\u4f4e\u9891\u6c34\u58f0\u53d1\u5c04\u6362\u80fd\u5668\u5bc6\u96c6\u9635\u7279\u6027\u53ca\u5176\u63a7\u5236\u7814\u7a76","funder_award_id":"60901076","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4582608045","display_name":"\u6c34\u4e0b\u8fd0\u52a8\u76ee\u6807\u8f90\u5c04\u566a\u58f0\u6e90\u5b9a\u4f4d\u8bc6\u522b\u65b9\u6cd5\u7814\u7a76","funder_award_id":"11274253","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1936175085.pdf","grobid_xml":"https://content.openalex.org/works/W1936175085.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W3113090","https://openalex.org/W110641324","https://openalex.org/W653761051","https://openalex.org/W657979631","https://openalex.org/W1551284826","https://openalex.org/W1971192055","https://openalex.org/W1985619932","https://openalex.org/W1998603302","https://openalex.org/W2000084930","https://openalex.org/W2002838296","https://openalex.org/W2004251430","https://openalex.org/W2017815305","https://openalex.org/W2027007585","https://openalex.org/W2036299253","https://openalex.org/W2042662027","https://openalex.org/W2046356058","https://openalex.org/W2057035781","https://openalex.org/W2057077708","https://openalex.org/W2062724461","https://openalex.org/W2066375832","https://openalex.org/W2083835430","https://openalex.org/W2090075282","https://openalex.org/W2093225945","https://openalex.org/W2094284498","https://openalex.org/W2118119802","https://openalex.org/W2125872840","https://openalex.org/W2125967891","https://openalex.org/W2130620351","https://openalex.org/W2132176172","https://openalex.org/W2152759373","https://openalex.org/W2166316590","https://openalex.org/W2166610247","https://openalex.org/W2295905273","https://openalex.org/W2622943219","https://openalex.org/W2952350176","https://openalex.org/W3148168866","https://openalex.org/W4249341522","https://openalex.org/W6640134599","https://openalex.org/W6768408190"],"related_works":["https://openalex.org/W2366308814","https://openalex.org/W2280149207","https://openalex.org/W4312542058","https://openalex.org/W2114156731","https://openalex.org/W2035218294","https://openalex.org/W2012942213","https://openalex.org/W2373449064","https://openalex.org/W2068044639","https://openalex.org/W1495860908","https://openalex.org/W1936175085"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,45,89,115,133],"general":[4],"model":[5],"of":[6,85,119,126,135,169],"superdirectivity":[7,57],"to":[8,48,69,81,95,163],"provide":[9],"analytical":[10],"and":[11,27,41,51,63,88,105,157],"closed-form":[12],"solutions":[13],"for":[14,76,102,114],"arbitrary":[15],"sensor":[16],"arrays.":[17],"Based":[18],"on":[19],"the":[20,23,28,33,83,98,123,127,138,145,155,158,170],"equivalence":[21],"between":[22],"maximum":[24,29],"directivity":[25,159],"factor":[26],"array":[30,100,117],"gain":[31],"in":[32,56,137],"isotropic":[34],"noise":[35],"field,":[36],"Gram-Schmidt":[37,60],"orthogonalization":[38],"is":[39,66,93,141,148,154,161],"introduced":[40],"recursively":[42],"transformed":[43],"into":[44],"matrix":[46],"form":[47],"conduct":[49],"pre-whitening":[50],"matching":[52],"operations":[53],"that":[54,111,168],"result":[55],"solutions.":[58,73],"A":[59,129],"mode-beam":[61],"decomposition":[62],"synthesis":[64],"method":[65],"then":[67],"presented":[68],"formally":[70],"implement":[71],"these":[72],"Illustrative":[74],"examples":[75],"different":[77],"arrays":[78],"are":[79,112],"provided":[80,113],"demonstrate":[82],"feasibility":[84],"this":[86],"method,":[87],"reduced":[90],"rank":[91],"technique":[92],"used":[94],"deal":[96],"with":[97,132],"practical":[99],"design":[101],"robust":[103],"beamforming":[104],"acceptable":[106],"high-order":[107],"superdirectivity.":[108],"Experimental":[109],"results":[110],"linear":[116],"consisting":[118],"nine":[120],"hydrophones":[121],"show":[122],"good":[124],"performance":[125],"technique.":[128],"superdirective":[130],"beampattern":[131],"beamwidth":[134],"48.05\u00b0":[136],"endfire":[139],"direction":[140],"typically":[142],"achieved":[143],"when":[144],"inter-sensor":[146],"spacing":[147],"only":[149],"0.09":[150],"\u03bb":[151,153],"(":[152],"wavelength),":[156],"index":[160],"up":[162],"12":[164],"dB,":[165],"which":[166],"outperforms":[167],"conventional":[171],"delay-and-sum":[172],"counterpart":[173],"by":[174],"6":[175],"dB.":[176]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
