{"id":"https://openalex.org/W2116599670","doi":"https://doi.org/10.1109/icassp.2009.4959576","title":"Modal expansion of HRTFs: Continuous representation in frequency-range-angle","display_name":"Modal expansion of HRTFs: Continuous representation in frequency-range-angle","publication_year":2009,"publication_date":"2009-04-01","ids":{"openalex":"https://openalex.org/W2116599670","doi":"https://doi.org/10.1109/icassp.2009.4959576","mag":"2116599670"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2009.4959576","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2009.4959576","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Acoustics, Speech and Signal Processing","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/A5059258204","display_name":"Wen Zhang","orcid":"https://orcid.org/0000-0002-0752-6123"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Wen Zhang","raw_affiliation_strings":["Applied Signal Processing Group, Department of Information Engineering, RSISE-Australian National University, Australia","Applied Signal Processing Group, Department of Information Engineering, RSISE, The Australian National University, Australia#TAB#"],"affiliations":[{"raw_affiliation_string":"Applied Signal Processing Group, Department of Information Engineering, RSISE-Australian National University, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Applied Signal Processing Group, Department of Information Engineering, RSISE, The Australian National University, Australia#TAB#","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003018152","display_name":"Thushara D. Abhayapala","orcid":"https://orcid.org/0000-0001-6937-7218"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Thushara D. Abhayapala","raw_affiliation_strings":["Applied Signal Processing Group, Department of Information Engineering, RSISE-Australian National University, Australia","Applied Signal Processing Group, Department of Information Engineering, RSISE, The Australian National University, Australia#TAB#"],"affiliations":[{"raw_affiliation_string":"Applied Signal Processing Group, Department of Information Engineering, RSISE-Australian National University, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Applied Signal Processing Group, Department of Information Engineering, RSISE, The Australian National University, Australia#TAB#","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031749751","display_name":"Rodney A. Kennedy","orcid":"https://orcid.org/0000-0002-3946-3673"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Rodney A. Kennedy","raw_affiliation_strings":["Applied Signal Processing Group, Department of Information Engineering, RSISE-Australian National University, Australia","Applied Signal Processing Group, Department of Information Engineering, RSISE, The Australian National University, Australia#TAB#"],"affiliations":[{"raw_affiliation_string":"Applied Signal Processing Group, Department of Information Engineering, RSISE-Australian National University, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Applied Signal Processing Group, Department of Information Engineering, RSISE, The Australian National University, Australia#TAB#","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013222310","display_name":"Ramani Duraiswami","orcid":"https://orcid.org/0000-0002-5596-8460"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]},{"id":"https://openalex.org/I2802964274","display_name":"Interface (United States)","ror":"https://ror.org/04nvtmr42","country_code":"US","type":"company","lineage":["https://openalex.org/I2802964274"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ramani Duraiswami","raw_affiliation_strings":["Perceptual Interfaces and Reality Laboratory, University of Maryland, College Park, USA","[Perceptual Interfaces and Reality Laboratory UMIACS, University of Maryland, College Park, USA]"],"affiliations":[{"raw_affiliation_string":"Perceptual Interfaces and Reality Laboratory, University of Maryland, College Park, USA","institution_ids":["https://openalex.org/I66946132","https://openalex.org/I2802964274"]},{"raw_affiliation_string":"[Perceptual Interfaces and Reality Laboratory UMIACS, University of Maryland, College Park, USA]","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5059258204"],"corresponding_institution_ids":["https://openalex.org/I118347636"],"apc_list":null,"apc_paid":null,"fwci":2.9202,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.90383891,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"4","issue":null,"first_page":"285","last_page":"288"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11698","display_name":"Underwater Acoustics Research","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11698","display_name":"Underwater Acoustics Research","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11757","display_name":"Seismic Waves and Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.6808912754058838},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5700317025184631},{"id":"https://openalex.org/keywords/reciprocity","display_name":"Reciprocity (cultural anthropology)","score":0.545487642288208},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.5291315317153931},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.5065268278121948},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4887077808380127},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4863477349281311},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.4834355115890503},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.47678613662719727},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46911150217056274},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4337882101535797},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.42697107791900635},{"id":"https://openalex.org/keywords/modal-analysis","display_name":"Modal analysis","score":0.4238324761390686},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18034222722053528},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17599153518676758}],"concepts":[{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.6808912754058838},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5700317025184631},{"id":"https://openalex.org/C169903001","wikidata":"https://www.wikidata.org/wiki/Q3264987","display_name":"Reciprocity (cultural anthropology)","level":2,"score":0.545487642288208},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.5291315317153931},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.5065268278121948},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4887077808380127},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4863477349281311},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.4834355115890503},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.47678613662719727},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46911150217056274},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4337882101535797},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.42697107791900635},{"id":"https://openalex.org/C104286136","wikidata":"https://www.wikidata.org/wiki/Q1416137","display_name":"Modal analysis","level":3,"score":0.4238324761390686},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18034222722053528},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17599153518676758},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icassp.2009.4959576","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2009.4959576","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/52826","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/52826","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2009)","raw_type":"Conference paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1523113578","https://openalex.org/W1553202049","https://openalex.org/W2037949455","https://openalex.org/W2048909388","https://openalex.org/W2064233625","https://openalex.org/W2096823355","https://openalex.org/W2116240760","https://openalex.org/W2160063707","https://openalex.org/W2161167249","https://openalex.org/W4249595233","https://openalex.org/W4292027041","https://openalex.org/W6633171743","https://openalex.org/W6674621349","https://openalex.org/W6683702019"],"related_works":["https://openalex.org/W2049939404","https://openalex.org/W1519777678","https://openalex.org/W2034875467","https://openalex.org/W76811607","https://openalex.org/W2011121568","https://openalex.org/W4388316559","https://openalex.org/W1848405970","https://openalex.org/W2022428104","https://openalex.org/W2593359904","https://openalex.org/W2265431734"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,24,94,105],"continuous":[4],"HRTF":[5,35,51,60],"representation":[6,55],"in":[7,40,56,86],"both":[8],"3D":[9],"spatial":[10,46],"and":[11,23,53,88,101],"frequency":[12,61,91],"domains.":[13],"The":[14,44,59,73],"method":[15],"is":[16],"based":[17],"on":[18],"the":[19,28,34,111],"acoustic":[20],"reciprocity":[21],"principle":[22],"modal":[25],"expansion":[26],"of":[27,97],"wave":[29],"equation":[30],"solution":[31],"to":[32,79,109],"represent":[33],"variations":[36],"with":[37],"different":[38],"variables":[39],"separate":[41],"basis":[42,47],"functions.":[43],"derived":[45],"modes":[48],"can":[49,76],"achieve":[50],"near-field":[52],"far-field":[54],"one":[57],"formulation.":[58],"components":[62],"are":[63,107],"expanded":[64],"using":[65],"Fourier":[66],"Spherical":[67],"Bessel":[68],"series":[69],"for":[70],"compact":[71],"representation.":[72],"proposed":[74],"model":[75],"be":[77],"used":[78,108],"reconstruct":[80],"HRTFs":[81,103],"at":[82,89],"any":[83,90],"arbitrary":[84],"position":[85],"space":[87],"point":[92],"from":[93,104],"finite":[95],"number":[96],"measurements.":[98],"Analytical":[99],"simulated":[100],"measured":[102],"KEMAR":[106],"validate":[110],"model.":[112]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
