{"id":"https://openalex.org/W3031202064","doi":"https://doi.org/10.1109/taslp.2020.2998283","title":"Efficient Implementations of First-Order Steerable Differential Microphone Arrays With Arbitrary Planar Geometry","display_name":"Efficient Implementations of First-Order Steerable Differential Microphone Arrays With Arbitrary Planar Geometry","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3031202064","doi":"https://doi.org/10.1109/taslp.2020.2998283","mag":"3031202064"},"language":"en","primary_location":{"id":"doi:10.1109/taslp.2020.2998283","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taslp.2020.2998283","pdf_url":null,"source":{"id":"https://openalex.org/S4210169297","display_name":"IEEE/ACM Transactions on Audio Speech and Language Processing","issn_l":"2329-9290","issn":["2329-9290","2329-9304"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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/ACM Transactions on Audio, Speech, and Language Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11311/1156966","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035464509","display_name":"Federico Borra","orcid":"https://orcid.org/0000-0003-1385-8877"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Federico Borra","raw_affiliation_strings":["Politecnico di Milano, Milano, Italy"],"raw_orcid":"https://orcid.org/0000-0003-1385-8877","affiliations":[{"raw_affiliation_string":"Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088704369","display_name":"Alberto Bernardini","orcid":"https://orcid.org/0000-0001-7973-0134"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alberto Bernardini","raw_affiliation_strings":["Politecnico di Milano, Milano, Italy"],"raw_orcid":"https://orcid.org/0000-0001-7973-0134","affiliations":[{"raw_affiliation_string":"Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082156387","display_name":"Fabio Antonacci","orcid":"https://orcid.org/0000-0003-4545-0315"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fabio Antonacci","raw_affiliation_strings":["Politecnico di Milano, Milano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051897828","display_name":"Augusto Sarti","orcid":"https://orcid.org/0000-0002-5803-1702"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Augusto Sarti","raw_affiliation_strings":["Politecnico di Milano, Milano, Italy"],"raw_orcid":"https://orcid.org/0000-0002-5803-1702","affiliations":[{"raw_affiliation_string":"Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.1705,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.96497522,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"28","issue":null,"first_page":"1755","last_page":"1766"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10860","display_name":"Speech and Audio Processing","score":0.9998999834060669,"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":0.9998999834060669,"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/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.9991000294685364,"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"}},{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.6973237991333008},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.5822263956069946},{"id":"https://openalex.org/keywords/microphone","display_name":"Microphone","score":0.5154072046279907},{"id":"https://openalex.org/keywords/bessel-filter","display_name":"Bessel filter","score":0.5028144717216492},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.4998917579650879},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.48717209696769714},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47963815927505493},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.4630778729915619},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.4600195288658142},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44460833072662354},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.44263744354248047},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.42161184549331665},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4206656217575073},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3914330005645752},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3007431924343109},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.15710905194282532},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11501863598823547},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.09026864171028137}],"concepts":[{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.6973237991333008},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.5822263956069946},{"id":"https://openalex.org/C2778263558","wikidata":"https://www.wikidata.org/wiki/Q46384","display_name":"Microphone","level":3,"score":0.5154072046279907},{"id":"https://openalex.org/C177798896","wikidata":"https://www.wikidata.org/wiki/Q830123","display_name":"Bessel filter","level":5,"score":0.5028144717216492},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4998917579650879},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.48717209696769714},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47963815927505493},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.4630778729915619},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.4600195288658142},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44460833072662354},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.44263744354248047},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.42161184549331665},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4206656217575073},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3914330005645752},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3007431924343109},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.15710905194282532},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11501863598823547},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.09026864171028137},{"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/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"score":0.0},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.0},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/taslp.2020.2998283","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taslp.2020.2998283","pdf_url":null,"source":{"id":"https://openalex.org/S4210169297","display_name":"IEEE/ACM Transactions on Audio Speech and Language Processing","issn_l":"2329-9290","issn":["2329-9290","2329-9304"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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/ACM Transactions on Audio, Speech, and Language Processing","raw_type":"journal-article"},{"id":"pmh:oai:re.public.polimi.it:11311/1156966","is_oa":true,"landing_page_url":"http://hdl.handle.net/11311/1156966","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:re.public.polimi.it:11311/1156966","is_oa":true,"landing_page_url":"http://hdl.handle.net/11311/1156966","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W37722415","https://openalex.org/W123426918","https://openalex.org/W304075304","https://openalex.org/W1555217905","https://openalex.org/W1994630425","https://openalex.org/W2022423405","https://openalex.org/W2036517443","https://openalex.org/W2057035781","https://openalex.org/W2061074721","https://openalex.org/W2098295417","https://openalex.org/W2104422351","https://openalex.org/W2108357193","https://openalex.org/W2113250153","https://openalex.org/W2134910060","https://openalex.org/W2147665979","https://openalex.org/W2155802826","https://openalex.org/W2164057579","https://openalex.org/W2170393302","https://openalex.org/W2173857413","https://openalex.org/W2240718643","https://openalex.org/W2325470828","https://openalex.org/W2478884216","https://openalex.org/W2489919266","https://openalex.org/W2499048335","https://openalex.org/W2499102192","https://openalex.org/W2502139158","https://openalex.org/W2507219293","https://openalex.org/W2534839938","https://openalex.org/W2568308529","https://openalex.org/W2600579021","https://openalex.org/W2607391353","https://openalex.org/W2744215980","https://openalex.org/W2771132365","https://openalex.org/W2776754118","https://openalex.org/W2883874146","https://openalex.org/W2902485086","https://openalex.org/W2907580887","https://openalex.org/W2918296821","https://openalex.org/W2968158256","https://openalex.org/W2968794926","https://openalex.org/W3004477518","https://openalex.org/W3006097220","https://openalex.org/W3011743111","https://openalex.org/W4249052411","https://openalex.org/W4300223101","https://openalex.org/W6677081721"],"related_works":["https://openalex.org/W2087326568","https://openalex.org/W2251126014","https://openalex.org/W3159961187","https://openalex.org/W2381610553","https://openalex.org/W2884513761","https://openalex.org/W2383577387","https://openalex.org/W3015266405","https://openalex.org/W162936986","https://openalex.org/W2346158549","https://openalex.org/W2126490856"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,28,37,40],"spatial":[3,23],"filtering":[4],"approach":[5],"to":[6,62,107,120,132],"first-order":[7,111,139],"steerable":[8,140],"Differential":[9],"Microphone":[10],"Arrays":[11],"(DMAs)":[12],"with":[13,67,114,146],"arbitrary":[14,147],"planar":[15],"geometry.":[16],"In":[17],"particular,":[18],"the":[19,22,44,51,83,88,96,121],"design":[20,32],"of":[21,53,99,102,138],"filter":[24],"is":[25,92],"based":[26,143],"on":[27,144],"recently":[29],"proposed":[30,74],"frequency-domain":[31],"methodology":[33],"that":[34,54,85,127],"approximates,":[35],"in":[36,75,86],"least-square":[38],"sense,":[39],"target":[41],"beampattern":[42],"using":[43],"Jacobi-Anger":[45],"expansion":[46],"involving":[47],"Bessel":[48,112],"functions.":[49],"Despite":[50],"generality":[52],"approach,":[55],"however,":[56],"its":[57],"computational":[58],"cost":[59],"turns":[60],"out":[61],"be":[63],"excessive":[64],"when":[65],"working":[66],"limited":[68],"processing":[69],"resources.":[70],"The":[71],"beamforming":[72],"technique":[73],"this":[76,79,128],"manuscript":[77],"overcomes":[78],"issue":[80],"by":[81],"exploiting":[82],"fact":[84],"DMAs":[87],"spacing":[89],"between":[90],"sensors":[91],"typically":[93],"smaller":[94],"than":[95],"smallest":[97],"wavelength":[98],"audio":[100],"signals":[101],"interest.":[103],"This":[104],"allows":[105,130],"us":[106,131],"substitute":[108],"zero-":[109],"and":[110],"functions":[113],"their":[115],"Taylor":[116],"series":[117],"approximation":[118,129],"truncated":[119],"first":[122],"order.":[123],"Moreover,":[124],"we":[125],"show":[126],"derive":[133],"an":[134],"efficient":[135],"discrete-time-domain":[136],"implementation":[137],"differential":[141],"beamformers":[142],"arrays":[145],"geometries.":[148]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":8}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2020-06-05T00:00:00"}