Sound field creation with a cube-like loudspeaker array designed using Lamé function based on virtual sound source distribution

Eriguchi Y, Sakaguchi T, Oikawa Y. Sound field creation with a cube-like loudspeaker array designed using Lamé function based on virtual sound source distribution. In: Convention Paper. Audio Engineering Society; 2026. Paper 10295. Available from: https://aes.org/publications/elibrary-page/?id=23228

@inproceedings{Eriguchi2026_23228,
  author = {Eriguchi, Yuzuki and Sakaguchi, Tomohiro and Oikawa, Yasuhiro},
  title = {{Sound field creation with a cube-like loudspeaker array designed using Lamé function based on virtual sound source distribution}},
  note = {Paper 10295},
  year = {2026},
  month = may,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=23228}
}

TY  - CPAPER
TI  - Sound field creation with a cube-like loudspeaker array designed using Lamé function based on virtual sound source distribution
AU  - Eriguchi, Yuzuki
AU  - Sakaguchi, Tomohiro
AU  - Oikawa, Yasuhiro
M1  - Paper 10295
PY  - 2026
DA  - 2026/05/28
UR  - https://aes.org/publications/elibrary-page/?id=23228
PB  - Audio Engineering Society
LA  - en
AB  - The diversification of audio content production has increased the demand for realistic, immersive sound field reproduction. Conventional methods struggle to separate direct and reflected sounds, which limits their accuracy. To address this issue, this study proposes a sound field reproduction method that identifies the arrival directions of reflected sounds based on the virtual sound source distribution. In this approach, the virtual sound source distribution is calculated using the closely located four point microphone method. Assuming that spherical waves emitted from distant virtual sound sources arrive as plane waves within the listening area, the target sound field is generated through plane wave synthesis, enabling more accurate and flexible sound field generation. Furthermore, considering practical systems and typical room shapes, we investigated the reproducibility of plane wave sound fields using not only a spherical array, but also a cube-like loudspeaker array. This array is configured using the Lam function, which allows for a continuous geometric transformation from a sphere to a cube-like form. The ideal plane wave sound field derived from the wave equation was regarded as the reference, and the sound fields generated by the loudspeaker arrays were evaluated using mean square error (MSE). This evaluation was extended across time to account for temporal variations. The results indicated that the desired level of reproducibility was maintained regardless of the Lam functions order. Consequently, it was confirmed that cube-like loudspeaker arrays can achieve a level of reproducibility equivalent to that of the spherical array.
ER  -