Error Analysis of Sound Source Directivity Interpolation Based on Spherical Harmonics

• Autorzy: Szwajcowski Adam , Krause Daniel , Snakowska Anna

Identyfikatory

DOI

10.24425/aoa.2021.136564

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

sound source directivity; spherical harmonics; interpolation error; sparse measurements

• Wydawca: Instytut Podstawowych Problemów Techniki PAN ; Komitet Akustyki PAN ; Polskie Towarzystwo Akustyczne
• Czasopismo: Archives of Acoustics
• Rocznik: 2021
• Tom: Vol. 46, No. 1
• Strony: 95--104
• Opis fizyczny: Bibliogr. 28 poz., rys., tab., wykr.

Twórcy

autor

Szwajcowski Adam

• Department of Robotics and Mechatronics, AGH University of Science and Technology, Kraków, Poland

autor

Krause Daniel

• Faculty of Information Technology and Communication Sciences, Tampere University, Tampere, Finland

autor

Snakowska Anna

• Department of Robotics and Mechatronics, AGH University of Science and Technology, Kraków, Poland

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).