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Novel Sampling Scheme on the Sphere for Head-Related Transfer Function Measurements

Bates, Alice P.; Khalid, Zubair; Kennedy, Rodney

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This paper presents a novel sampling scheme on the sphere for obtaining head-related transfer function (HRTF) measurements and accurately computing the spherical harmonic transform (SHT). The scheme requires an optimal number of samples, given by the degrees of freedom in the spectral domain, for the accurate representation of the HRTF that is band-limited in the spherical harmonic domain. The proposed scheme allows for the samples to be easily taken over the sphere due to its iso-latitude...[Show more]

dc.contributor.authorBates, Alice P.
dc.contributor.authorKhalid, Zubair
dc.contributor.authorKennedy, Rodney
dc.date.accessioned2015-09-10T01:34:05Z
dc.date.available2015-09-10T01:34:05Z
dc.identifier.issn2329-9290
dc.identifier.urihttp://hdl.handle.net/1885/15319
dc.description.abstractThis paper presents a novel sampling scheme on the sphere for obtaining head-related transfer function (HRTF) measurements and accurately computing the spherical harmonic transform (SHT). The scheme requires an optimal number of samples, given by the degrees of freedom in the spectral domain, for the accurate representation of the HRTF that is band-limited in the spherical harmonic domain. The proposed scheme allows for the samples to be easily taken over the sphere due to its iso-latitude structure and non-dense sampling near the poles. In addition, the scheme can be used when samples are not taken from the south polar cap region of the sphere as the HRTF measurements are not reliable in south polar cap region due to reflections from the ground. Furthermore, the scheme has a hierarchical structure, which enables the HRTF to be analyzed at different audible frequencies using the same sampling configuration. In comparison to the proposed scheme, none of the other sampling schemes on the sphere simultaneously possess all these properties. We conduct several numerical experiments to determine the accuracy of the SHT associated with the proposed sampling scheme. We show that the SHT attains accuracy on the order of numerical precision (10¯¹⁴) when samples are taken over the whole sphere, both in the optimal sample placement and hierarchical configurations, and achieves an acceptable level of accuracy (10¯⁵) when samples are not taken over the south polar cap region of the sphere for the band-limits of interest. Simulations are used to show the accurate reconstruction of the HRTF over the whole sphere, including unmeasured locations.
dc.description.sponsorshipThis work was supported by the Australian Research Council’s Discovery Projects funding scheme under Project DP150101011.
dc.publisherIEEE
dc.rights© 2015 IEEE.
dc.sourceIEEE/ACM Transactions on Audio, Speech, and Language Processing
dc.titleNovel Sampling Scheme on the Sphere for Head-Related Transfer Function Measurements
dc.typeJournal article
local.identifier.citationvolume23
dc.date.issued2015-04-15
local.publisher.urlhttp://www.ieee.org/index.html
local.type.statusAccepted Version
local.contributor.affiliationBates, A. P., Research School of Engineering, College of Engineering and Computer Science, The Australian National University
local.contributor.affiliationKennedy, R. A., Research School of Engineering, College of Engineering and Computer Science, The Australian National University
dc.relationhttp://purl.org/au-research/grants/arc/DP150101011
local.bibliographicCitation.issue6
local.bibliographicCitation.startpage1068
local.bibliographicCitation.lastpage1081
local.identifier.doi10.1109/TASLP.2015.2419971
dcterms.accessRightsOpen Access
dc.provenanceJournal: IEEE/ACM Transactions on Audio, Speech and Language Processing (ISSN: 2329-9290, ESSN: 2329-9304) RoMEO: This is a RoMEO green journal Paid OA: A paid open access option is available for this journal. Author's Pre-print: green tick author can archive pre-print (ie pre-refereeing) Author's Post-print: green tick author can archive post-print (ie final draft post-refereeing) Publisher's Version/PDF: cross author cannot archive publisher's version/PDF General Conditions: Author's pre-print on any website or pre-print server Author's post-print on author's personal website or employer's website or IEEE approved not-for-profit third party (8.1.9.G.2 ) website Author's pre-print must be replaced by the accepted version, if on the author's personal website, employer's websites, arXiv, IEEE-approved third-party, not-for profit server, funder repository Author's pre-print must removed on third-party servers Author's pre-print must be accompanied with set phrase (see policy) before acceptance Author's pre-print must be accompanied with set phrase (see policy) when accepted for publication If funding agency rules apply, authors may post author's post-print version on funder's designated repository or institutional repository, in compliance with their funding agency rules. They may be required to comply with embargo periods of 0 to 24 months Publisher copyright and source must be acknowledged with citation (see policy) Must link to publisher version with DOI Publisher's version/PDF cannot be used Author's post-print on scholarly collaboration networks that have signed STM Sharing Principles Publisher retains copyright
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