{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,28]],"date-time":"2026-03-28T06:25:34Z","timestamp":1774679134071,"version":"3.50.1"},"reference-count":59,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/legalcode"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Signal Process."],"published-print":{"date-parts":[[2021]]},"DOI":"10.1109\/tsp.2021.3092892","type":"journal-article","created":{"date-parts":[[2021,6,28]],"date-time":"2021-06-28T21:16:04Z","timestamp":1624914964000},"page":"4502-4512","source":"Crossref","is-referenced-by-count":12,"title":["Time Domain Sampling of the Radial Functions in Spherical Harmonics Expansions"],"prefix":"10.1109","volume":"69","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3564-5864","authenticated-orcid":false,"given":"Nara","family":"Hahn","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3010-0294","authenticated-orcid":false,"given":"Frank","family":"Schultz","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7225-9992","authenticated-orcid":false,"given":"Sascha","family":"Spors","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1121\/1.5114819"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2018.8462249"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1121\/1.417968"},{"key":"ref32","article-title":"Further investigations on the design of radial filters for the driving functions of near-field compensated higher-order ambisonics","author":"hahn","year":"2017","journal-title":"Proc 142nd Audio Eng Soc Conv"},{"key":"ref31","first-page":"452","article-title":"Comprehensive radial filter design for practical higher-order ambisonic recording","author":"l\u00f6sler","year":"2015","journal-title":"Proc 41st German Annu Conf Acoust (DAGA)"},{"key":"ref30","article-title":"Practical implementation of radial filters for ambisonic recordings","author":"baumgartner","year":"2011","journal-title":"Proc Int Conf Spatial Audio"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2019.8683062"},{"key":"ref36","article-title":"Time domain fast-multipole translation for ambisonics","author":"baumgartner","year":"2011"},{"key":"ref35","first-page":"1434","article-title":"Time-domain representations of a plane wave with spatial band-limitation in the spherical harmonics domain","author":"hahn","year":"2019","journal-title":"Proc 45th German Annu Conf Acoust (DAGA)"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.23919\/EUSIPCO.2017.8081292"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-015-9995-5"},{"key":"ref27","first-page":"1132","article-title":"2.5D local wave field synthesis of a virtual plane wave using a time domain representation of spherical harmonics expansion","author":"hahn","year":"2019","journal-title":"Proc 23rd Int Cong Acoust"},{"key":"ref29","author":"oppenheim","year":"1999","journal-title":"Discrete-Time Signal Processing"},{"key":"ref2","author":"williams","year":"1999","journal-title":"Fourier Acoustics Sound Radiation and Nearfield Acoustical Holography"},{"key":"ref1","author":"morse","year":"1968","journal-title":"Theoretical Acoustics"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-09562-1"},{"key":"ref22","article-title":"Analysis and synthesis of sound-radiation with spherical arrays","author":"zotter","year":"2009"},{"key":"ref21","article-title":"Angular and radial directivity control for spherical loudspeaker arrays","author":"pomberger","year":"2008"},{"key":"ref24","doi-asserted-by":"crossref","first-page":"1221","DOI":"10.1109\/TASL.2010.2087754","article-title":"Time-domain implementation of broadband beamformer in spherical harmonics domain","volume":"19","author":"yan","year":"2011","journal-title":"IEEE Trans Audio Speech Lang Process"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/ASPAA.2011.6082325"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.23919\/EUSIPCO.2017.8081295"},{"key":"ref25","article-title":"Time domain description of spatial modes of 2D and 3D free-space greens functions","author":"poletti","year":"2016","journal-title":"Proc Audio Eng Soc Conf"},{"key":"ref50","author":"schlichth\u00e4rle","year":"2014","journal-title":"Digital Filters"},{"key":"ref51","article-title":"Spherical Bessel function of the first kind","author":"research","year":"0"},{"key":"ref59","first-page":"1188","article-title":"Discrete time modeling of spherical harmonics expansion by using band-limited step functions","author":"hahn","year":"2020","journal-title":"Proc 46th German Annu Conf Acoust (DAGA)"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1109\/TASL.2009.2035039"},{"key":"ref57","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1109\/TASSP.1980.1163349","article-title":"On the use of the ${I}_0-\\sinh$ window for spectrum analysis","volume":"28","author":"kaiser","year":"1980","journal-title":"IEEE Trans Acoust Speech Signal Process"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1121\/1.3651227"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1109\/79.482137"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2007.323276"},{"key":"ref53","first-page":"365","article-title":"Hard sync without aliasing","author":"brandt","year":"2001","journal-title":"Proc Int Comput Music Conf"},{"key":"ref52","article-title":"Alias-free digital synthesis of classic analog waveforms","author":"stilson","year":"1996","journal-title":"Proc Int Comput Music Conf"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1063\/1.1407282"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TAP.2004.825494"},{"key":"ref40","author":"olver","year":"2010","journal-title":"NIST Handbook of Mathematical Functions Handback"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/080727300"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2014.05.031"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1121\/1.4868398"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TAP.2015.2439294"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.wavemoti.2016.07.007"},{"key":"ref17","author":"blauert","year":"1997","journal-title":"Spatial Hearing The Psychophysics of Human Sound Localization"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1201\/9781315372150"},{"key":"ref19","doi-asserted-by":"crossref","DOI":"10.1163\/9789004658820","author":"moore","year":"1997","journal-title":"An Introduction to the Psychology of Hearing"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-45664-4"},{"key":"ref3","author":"gumerov","year":"2005","journal-title":"Fast Multipole Methods for the Helmholtz Equation in Three Dimensions"},{"key":"ref6","author":"kuntz","year":"2009","journal-title":"Wave Field Analysis Using Virtual Circular Microphone Arrays"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-25743-8"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-17207-7"},{"key":"ref7","first-page":"2","article-title":"Periphony: With-height sound reproduction","volume":"21","author":"gerzon","year":"1973","journal-title":"J Audio Eng Soc"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1364\/JOSAA.27.002144"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1063\/1.531408"},{"key":"ref46","article-title":"Local wave field synthesis by spatial band-limitation in the circular\/spherical harmonics domain","author":"hahn","year":"2016","journal-title":"Proc Audio Eng Soc Conv"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2009.4959573"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1006\/aama.1994.1008"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1109\/TASLP.2019.2892895"},{"key":"ref42","author":"girod","year":"2001","journal-title":"Signals and Systems"},{"key":"ref41","author":"arfken","year":"2005","journal-title":"Mathematical Methods for Physicists"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2007.893738"},{"key":"ref43","author":"bracewell","year":"1986","journal-title":"The Fourier Transform and Its Applications"}],"container-title":["IEEE Transactions on Signal Processing"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/78\/9307529\/09466448.pdf?arnumber=9466448","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,2]],"date-time":"2024-09-02T21:22:54Z","timestamp":1725312174000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9466448\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"references-count":59,"URL":"https:\/\/doi.org\/10.1109\/tsp.2021.3092892","relation":{},"ISSN":["1053-587X","1941-0476"],"issn-type":[{"value":"1053-587X","type":"print"},{"value":"1941-0476","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021]]}}}