Well-quantified directivity patterns of sound sources provide greater insights into their acoustical properties and the potential to simulate the propagation of their sounds in various settings. Moreover, clear descriptions of detailed spherically sampled directivities of highly complex and dynamic sound sources such as musical instruments have broad applications. Because spherical harmonics are a suitable basis set for representing functions on the sphere, this work reviews and compares methods for computing spherical harmonic expansion coefficients. It further presents distinct quadrature methods applicable to the five-degree polar and azimuthal sampling distribution commonly used in directivity measurements, and analysis regarding convergence and accuracy of the expansions. Finally, it presents selected results of spherical harmonic expansions of musical instruments.
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5 November 2018
176th Meeting of Acoustical Society of America 2018 Acoustics Week in Canada
5–9 Nov 2018
Victoria, Canada
Musical Acoustics: Paper 4aMU5
July 27 2020
Spherical harmonic expansions of high-resolution musical instrument directivities
Samuel David Bellows;
Samuel David Bellows
1Department of Physics and Astronomy,
Brigham Young University
, Provo, UT, 84602, USA
; [email protected]; [email protected]
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Timothy Ward Leishman
Timothy Ward Leishman
1Department of Physics and Astronomy,
Brigham Young University
, Provo, UT, 84602, USA
; [email protected]; [email protected]
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Proc. Mtgs. Acoust. 35, 035005 (2018)
Article history
Received:
June 01 2020
Accepted:
June 08 2020
Connected Content
This is a companion to:
Spherical harmonic expansions of high-resolution directivity data
Citation
Samuel David Bellows, Timothy Ward Leishman; Spherical harmonic expansions of high-resolution musical instrument directivities. Proc. Mtgs. Acoust. 5 November 2018; 35 (1): 035005. https://doi.org/10.1121/2.0001274
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