Error Analysis of Sound Source Directivity Interpolation Based on Spherical Harmonics
Precise measurement of the sound source directivity not only requires special equipment, but also is time-consuming. Alternatively, one can reduce the number of measurement points and apply spatial interpolation to retrieve a high-resolution approximation of directivity function. This paper discusse...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2021-03-01
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| Series: | Archives of Acoustics |
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| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/2872 |
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| author | Adam SZWAJCOWSKI Daniel KRAUSE Anna SNAKOWSKA |
| author_facet | Adam SZWAJCOWSKI Daniel KRAUSE Anna SNAKOWSKA |
| author_sort | Adam SZWAJCOWSKI |
| collection | DOAJ |
| description | Precise measurement of the sound source directivity not only requires special equipment, but also is time-consuming. Alternatively, one can reduce the number of measurement points and apply spatial interpolation to retrieve a high-resolution approximation of directivity function. This paper discusses the interpolation error for different algorithms with emphasis on the one based on spherical harmonics. The analysis is performed on raw directivity data for two loudspeaker systems. The directivity was measured using sampling schemes of different densities and point distributions (equiangular and equiareal). Then, the results were interpolated and compared with these obtained on the standard 5° regular grid. The application of the spherical harmonic approximation to sparse measurement data yields a mean error of less than 1 dB with the number of measurement points being reduced by 89%. The impact of the sparse grid type on the retrieval error is also discussed. The presented results facilitate optimal sampling grid choice for low-resolution directivity measurements. |
| format | Article |
| id | doaj-art-75d445cfe32f4be1835da1f283a4f68e |
| institution | DOAJ |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2021-03-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-75d445cfe32f4be1835da1f283a4f68e2025-08-20T02:52:08ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2021-03-0146110.24425/aoa.2021.136564Error Analysis of Sound Source Directivity Interpolation Based on Spherical HarmonicsAdam SZWAJCOWSKI0Daniel KRAUSE1Anna SNAKOWSKA2AGH University of Science and TechnologyAGH University of Science and TechnologyAGH University of Science and TechnologyPrecise measurement of the sound source directivity not only requires special equipment, but also is time-consuming. Alternatively, one can reduce the number of measurement points and apply spatial interpolation to retrieve a high-resolution approximation of directivity function. This paper discusses the interpolation error for different algorithms with emphasis on the one based on spherical harmonics. The analysis is performed on raw directivity data for two loudspeaker systems. The directivity was measured using sampling schemes of different densities and point distributions (equiangular and equiareal). Then, the results were interpolated and compared with these obtained on the standard 5° regular grid. The application of the spherical harmonic approximation to sparse measurement data yields a mean error of less than 1 dB with the number of measurement points being reduced by 89%. The impact of the sparse grid type on the retrieval error is also discussed. The presented results facilitate optimal sampling grid choice for low-resolution directivity measurements.https://acoustics.ippt.pan.pl/index.php/aa/article/view/2872sound source directivityspherical harmonicsinterpolation errorsparse measurements |
| spellingShingle | Adam SZWAJCOWSKI Daniel KRAUSE Anna SNAKOWSKA Error Analysis of Sound Source Directivity Interpolation Based on Spherical Harmonics Archives of Acoustics sound source directivity spherical harmonics interpolation error sparse measurements |
| title | Error Analysis of Sound Source Directivity Interpolation Based on Spherical Harmonics |
| title_full | Error Analysis of Sound Source Directivity Interpolation Based on Spherical Harmonics |
| title_fullStr | Error Analysis of Sound Source Directivity Interpolation Based on Spherical Harmonics |
| title_full_unstemmed | Error Analysis of Sound Source Directivity Interpolation Based on Spherical Harmonics |
| title_short | Error Analysis of Sound Source Directivity Interpolation Based on Spherical Harmonics |
| title_sort | error analysis of sound source directivity interpolation based on spherical harmonics |
| topic | sound source directivity spherical harmonics interpolation error sparse measurements |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/2872 |
| work_keys_str_mv | AT adamszwajcowski erroranalysisofsoundsourcedirectivityinterpolationbasedonsphericalharmonics AT danielkrause erroranalysisofsoundsourcedirectivityinterpolationbasedonsphericalharmonics AT annasnakowska erroranalysisofsoundsourcedirectivityinterpolationbasedonsphericalharmonics |