{"id":"https://openalex.org/W3136117432","doi":"https://doi.org/10.1109/tsp.2021.3067155","title":"S$^2$H Domain Processing for Acoustic Source Localization and Beamforming Using Microphone Array on Spherical Sector","display_name":"S$^2$H Domain Processing for Acoustic Source Localization and Beamforming Using Microphone Array on Spherical Sector","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3136117432","doi":"https://doi.org/10.1109/tsp.2021.3067155","mag":"3136117432"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2021.3067155","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3067155","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Transactions on 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/A5084437863","display_name":"Deepika Kumari","orcid":"https://orcid.org/0000-0001-8586-2731"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Deepika Kumari","raw_affiliation_strings":["Department of Electrical Engineering, IIT, Delhi, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, IIT, Delhi, India","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021577055","display_name":"Lalan Kumar","orcid":"https://orcid.org/0000-0001-7000-7492"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Lalan Kumar","raw_affiliation_strings":["Department of Electrical Engineering and Bharti School of Telecommunication, IIT, Delhi, India"],"raw_orcid":"https://orcid.org/0000-0001-7000-7492","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Bharti School of Telecommunication, IIT, Delhi, India","institution_ids":["https://openalex.org/I68891433"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I68891433"],"apc_list":null,"apc_paid":null,"fwci":1.8156,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.84819303,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"69","issue":null,"first_page":"1983","last_page":"1994"},"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/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.9990000128746033,"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":0.9966999888420105,"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/beamforming","display_name":"Beamforming","score":0.7853703498840332},{"id":"https://openalex.org/keywords/microphone","display_name":"Microphone","score":0.5917695164680481},{"id":"https://openalex.org/keywords/spherical-harmonics","display_name":"Spherical harmonics","score":0.5827102065086365},{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.5663534998893738},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.49390608072280884},{"id":"https://openalex.org/keywords/microphone-array","display_name":"Microphone array","score":0.44136637449264526},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4391847252845764},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4383698105812073},{"id":"https://openalex.org/keywords/speech-recognition","display_name":"Speech recognition","score":0.39896270632743835},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3884775638580322},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3635476231575012},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.19204050302505493},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16260597109794617},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1418028473854065}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7853703498840332},{"id":"https://openalex.org/C2778263558","wikidata":"https://www.wikidata.org/wiki/Q46384","display_name":"Microphone","level":3,"score":0.5917695164680481},{"id":"https://openalex.org/C3768446","wikidata":"https://www.wikidata.org/wiki/Q877100","display_name":"Spherical harmonics","level":2,"score":0.5827102065086365},{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.5663534998893738},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.49390608072280884},{"id":"https://openalex.org/C2778806681","wikidata":"https://www.wikidata.org/wiki/Q907293","display_name":"Microphone array","level":4,"score":0.44136637449264526},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4391847252845764},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4383698105812073},{"id":"https://openalex.org/C28490314","wikidata":"https://www.wikidata.org/wiki/Q189436","display_name":"Speech recognition","level":1,"score":0.39896270632743835},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3884775638580322},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3635476231575012},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.19204050302505493},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16260597109794617},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1418028473854065},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2021.3067155","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3067155","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Transactions on Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.47999998927116394,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G8554856041","display_name":null,"funder_award_id":"ECR/2017/002969","funder_id":"https://openalex.org/F4320334771","funder_display_name":"Science and Engineering Research Board"}],"funders":[{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W613221996","https://openalex.org/W1538225255","https://openalex.org/W2040910067","https://openalex.org/W2046096920","https://openalex.org/W2066218102","https://openalex.org/W2104617572","https://openalex.org/W2104917647","https://openalex.org/W2113638573","https://openalex.org/W2118096836","https://openalex.org/W2128131274","https://openalex.org/W2129501075","https://openalex.org/W2138880468","https://openalex.org/W2481550175","https://openalex.org/W2494085323","https://openalex.org/W2507219293","https://openalex.org/W2514127661","https://openalex.org/W2587632902","https://openalex.org/W2804153268","https://openalex.org/W3015081319","https://openalex.org/W3038165843","https://openalex.org/W3039083618","https://openalex.org/W3118573650","https://openalex.org/W3127686677","https://openalex.org/W4240549567","https://openalex.org/W4295022726","https://openalex.org/W6632360536","https://openalex.org/W6679329388","https://openalex.org/W6680315651"],"related_works":["https://openalex.org/W2896203542","https://openalex.org/W876328409","https://openalex.org/W4319068615","https://openalex.org/W4214946933","https://openalex.org/W1879255185","https://openalex.org/W2148473678","https://openalex.org/W1963699169","https://openalex.org/W2800843880","https://openalex.org/W2769861442","https://openalex.org/W3004719695"],"abstract_inverted_index":{"Spherical":[0],"microphone":[1,59],"arrays":[2],"(SMAs)":[3],"are":[4,38,101,110,120,143,154,171,223],"widely":[5],"used":[6],"for":[7,114,145,156,177,211,216],"the":[8,36,44,49,68,74,78,81,88,108,116,131,134,146,174,197,220],"localization":[9,54,205,230],"of":[10,43,51,127,133,196],"acoustic":[11,208,226],"sources":[12,37],"and":[13,27,55,139,165,179],"beamforming.":[14],"However,":[15],"building":[16],"an":[17],"SMA":[18],"over":[19,67,77,90,107],"a":[20,24,58,62,121],"rigid":[21],"sphere":[22],"is":[23,29,70,84,191,200,213],"challenging":[25],"task,":[26],"it":[28],"uneconomic":[30],"to":[31],"build":[32],"full":[33],"SMAs":[34],"when":[35],"in":[39,111,173],"some":[40],"restricted":[41],"regions":[42],"environment.":[45],"This":[46],"paper":[47],"addresses":[48],"issue":[50],"multiple":[52,162],"source":[53,181,204,217,229],"beamforming":[56,212],"using":[57,187,202,231],"array":[60],"on":[61,87],"spherical":[63,95,118,232],"sector.":[64,79,148],"The":[65,103,149,194,207],"discontinuity":[66],"boundary":[69],"handled":[71],"by":[72],"solving":[73],"Helmholtz":[75],"equation":[76],"As":[80],"sound":[82],"pressure":[83],"present":[85],"only":[86],"microphones":[89],"that":[91],"sector,":[92],"novel":[93],"orthonormal":[94],"sector":[96,109],"harmonics":[97,119],"(S2H)":[98],"basis":[99,104,129,152,189],"functions":[100,105,142,153,190],"developed.":[102],"defined":[106],"generalized":[112],"form,":[113],"which":[115],"usual":[117],"special":[122],"case.":[123],"To":[124],"ensure":[125],"orthonormality":[126],"S2H":[128,151,175,188],"functions,":[130],"orthogonality":[132],"shifted":[135],"associated":[136],"Legendre":[137],"polynomials":[138],"scaled":[140],"exponential":[141],"established":[144],"same":[147],"new":[150],"utilized":[155],"far-field":[157],"data":[158],"model":[159],"development.":[160],"Subsequently,":[161],"signal":[163],"classification":[164],"minimum":[166],"variance":[167],"distortionless":[168],"response":[169],"spectra":[170],"formulated":[172],"domain":[176],"wideband":[178],"narrowband":[180],"localization.":[182,218],"An":[183],"ideal":[184],"direction-invariant":[185],"beampattern":[186],"also":[192],"derived.":[193],"performance":[195],"proposed":[198,221],"methods":[199,222],"analyzed":[201],"various":[203],"experiments.":[206],"image":[209,227],"principle":[210],"extended":[214],"herein":[215],"Additionally,":[219],"compared":[224],"with":[225],"principle-based":[228],"harmonics.":[233]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}