Continuous Head-related Transfer Function Representation Based on Hyperspherical Harmonics
Expressing head-related transfer functions (HRTFs) in the spherical harmonic (SH) domain has been thoroughly studied as a method of obtaining continuity over space. However, HRTFs are functions not only of direction but also of frequency. This paper presents an extension of the SH-based method, util...
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Institute of Fundamental Technological Research Polish Academy of Sciences
2023-03-01
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| Series: | Archives of Acoustics |
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| Online Access: | https://journals.pan.pl/Content/126391/PDF/aoa.2023.144267.pdf |
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| author | Adam Szwajcowski |
| author_facet | Adam Szwajcowski |
| author_sort | Adam Szwajcowski |
| collection | DOAJ |
| description | Expressing head-related transfer functions (HRTFs) in the spherical harmonic (SH) domain has been thoroughly studied as a method of obtaining continuity over space. However, HRTFs are functions not only of direction but also of frequency. This paper presents an extension of the SH-based method, utilizing hyperspherical harmonics (HSHs) to obtain an HRTF representation that is continuous over both space and frequency. The application of the HSH approximation results in a relatively small set of coefficients which can be decoded into HRTF values at any direction and frequency. The paper discusses results obtained by applying the method to magnitude spectra extracted from exemplary HRTF measurements. The HRTF representations based on SHs and HSHs exhibit similar reproduction accuracy, with the latter one featuring continuity over both space and frequency and requiring much lower number of coefficients. The developed HSH-based continuous functional model can serve multiple purposes, such as interpolation, compression or parametrization for machine-learning applications. |
| format | Article |
| id | doaj-art-b6528fb2d1584891a46a677a4d6fe3c3 |
| institution | DOAJ |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2023-03-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-b6528fb2d1584891a46a677a4d6fe3c32025-08-20T02:54:48ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2023-03-01vol. 48No 1127139https://doi.org/10.24425/aoa.2023.144267Continuous Head-related Transfer Function Representation Based on Hyperspherical HarmonicsAdam Szwajcowski0Department of Robotics and Mechatronics, AGH University of Science and Technology, Kraków, PolandExpressing head-related transfer functions (HRTFs) in the spherical harmonic (SH) domain has been thoroughly studied as a method of obtaining continuity over space. However, HRTFs are functions not only of direction but also of frequency. This paper presents an extension of the SH-based method, utilizing hyperspherical harmonics (HSHs) to obtain an HRTF representation that is continuous over both space and frequency. The application of the HSH approximation results in a relatively small set of coefficients which can be decoded into HRTF values at any direction and frequency. The paper discusses results obtained by applying the method to magnitude spectra extracted from exemplary HRTF measurements. The HRTF representations based on SHs and HSHs exhibit similar reproduction accuracy, with the latter one featuring continuity over both space and frequency and requiring much lower number of coefficients. The developed HSH-based continuous functional model can serve multiple purposes, such as interpolation, compression or parametrization for machine-learning applications.https://journals.pan.pl/Content/126391/PDF/aoa.2023.144267.pdfhyperspherical harmonicshrtfspherical harmonicscontinuous functional modeldirectivity |
| spellingShingle | Adam Szwajcowski Continuous Head-related Transfer Function Representation Based on Hyperspherical Harmonics Archives of Acoustics hyperspherical harmonics hrtf spherical harmonics continuous functional model directivity |
| title | Continuous Head-related Transfer Function Representation Based on Hyperspherical Harmonics |
| title_full | Continuous Head-related Transfer Function Representation Based on Hyperspherical Harmonics |
| title_fullStr | Continuous Head-related Transfer Function Representation Based on Hyperspherical Harmonics |
| title_full_unstemmed | Continuous Head-related Transfer Function Representation Based on Hyperspherical Harmonics |
| title_short | Continuous Head-related Transfer Function Representation Based on Hyperspherical Harmonics |
| title_sort | continuous head related transfer function representation based on hyperspherical harmonics |
| topic | hyperspherical harmonics hrtf spherical harmonics continuous functional model directivity |
| url | https://journals.pan.pl/Content/126391/PDF/aoa.2023.144267.pdf |
| work_keys_str_mv | AT adamszwajcowski continuousheadrelatedtransferfunctionrepresentationbasedonhypersphericalharmonics |