Comparative evaluation of interpolation methods for the directivity of musical instruments

Simple item page
dc.contributor.authorAckermann, David
dc.contributor.authorBrinkmann, Fabian
dc.contributor.authorZotter, Franz
dc.contributor.authorKob, Malte
dc.contributor.authorWeinzierl, Stefan
dc.date.accessioned2021-11-19T21:35:34Z
dc.date.available2021-11-19T21:35:34Z
dc.date.issued2021-10-30
dc.description.abstractMeasurements of the directivity of acoustic sound sources must be interpolated in almost all cases, either for spatial upsampling to higher resolution representations of the data, for spatial resampling to another sampling grid, or for use in simulations of sound propagation. The performance of different interpolation techniques applied to sparsely sampled directivity measurements depends on the sampling grid used but also on the radiation pattern of the sources themselves. Therefore, we evaluated three established approaches for interpolation from a low-resolution sampling grid using high-resolution measurements of a representative sample of musical instruments as a reference. The smallest global error on average occurs for thin plate pseudo-spline interpolation. For interpolation based on spherical harmonics (SH) decomposition, the SH order and the spatial sampling scheme applied have a strong and difficult to predict influence on the quality of the interpolation. The piece-wise linear, spherical triangular interpolation provides almost as good results as the first-order spline approach, albeit with on average 20 times higher computational effort. Therefore, for spatial interpolation of sparsely sampled directivity measurements of musical instruments, the thin plate pseudo-spline method applied to absolute-valued data is recommended and, if necessary, a subsequent modeling of the phase.en
dc.description.sponsorshipTU Berlin, Open-Access-Mittel - 2021en
dc.identifier.eissn1687-4722
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/13904
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-12678
dc.language.isoen
dc.relation.ispartof10.14279/depositonce-19949
dc.relation.issupplementedby10.14279/depositonce-12436
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en
dc.subject.ddc534 Schall und verwandte Schwingungende
dc.subject.othermusical instrumentsen
dc.subject.othersource directivityen
dc.subject.otherspatial interpolationen
dc.titleComparative evaluation of interpolation methods for the directivity of musical instrumentsen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.articlenumber36
dcterms.bibliographicCitation.doi10.1186/s13636-021-00223-6
dcterms.bibliographicCitation.journaltitleEURASIP Journal on Audio, Speech, and Music Processingen
dcterms.bibliographicCitation.originalpublishernameSpringer Natureen
dcterms.bibliographicCitation.originalpublisherplaceHeidelbergen
tub.accessrights.dnbfreeen
tub.affiliationFak. 1 Geistes- und Bildungswissenschaften::Inst. Sprache und Kommunikation::FG Audiokommunikationde
tub.affiliation.facultyFak. 1 Geistes- und Bildungswissenschaftende
tub.affiliation.groupFG Audiokommunikationde
tub.affiliation.instituteInst. Sprache und Kommunikationde
tub.publisher.universityorinstitutionTechnische Universität Berlinen

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
ackermann_etal_2021.pdf
Size:
2.3 MB
Format:
Adobe Portable Document Format
Download

Collections

Publications