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Y. Ren, K. Imaizumi, K. Tsutsumi, and Y. Haneda, "2D Sound Field Reproduction with Elliptical Loudspeaker Array based on Circular Microphone Array Signals," Paper 10327, (2020 May.). doi: Y. Ren, K. Imaizumi, K. Tsutsumi, and Y. Haneda, "2D Sound Field Reproduction with Elliptical Loudspeaker Array based on Circular Microphone Array Signals," Paper 10327, (2020 May.). doi:
Abstract: In this paper, we propose a method for sound ?eld reproduction using an elliptical loudspeaker array and a circular microphone array. This study aims to reproduce the interior sound ?eld of the elliptical loudspeaker array in a 2-dimensional sound ?eld. The solutions of the Helmholtz equation in an elliptical coordinate system, which are known as Mathieu functions, are used to expand the sound ?eld in an elliptical-coordinate-system-based wave domain. We provide a method to transform the signals recorded by a circular microphone array that are generally expanded with circular harmonics to the Mathieu expansion coef?cients. These coef?cients can be applied to derive the driving functions of loudspeakers. Computer simulations show that the method is valid for sound ?eld reproduction.

@article{ren20202d,
author={ren, yi and imaizumi, kenta and tsutsumi, kimitaka and haneda, yoichi},
journal={journal of the audio engineering society},
title={2d sound field reproduction with elliptical loudspeaker array based on circular microphone array signals},
year={2020},
volume={},
number={},
pages={},
doi={},
month={may},} @article{ren20202d,
author={ren, yi and imaizumi, kenta and tsutsumi, kimitaka and haneda, yoichi},
journal={journal of the audio engineering society},
title={2d sound field reproduction with elliptical loudspeaker array based on circular microphone array signals},
year={2020},
volume={},
number={},
pages={},
doi={},
month={may},
abstract={in this paper, we propose a method for sound ?eld reproduction using an elliptical loudspeaker array and a circular microphone array. this study aims to reproduce the interior sound ?eld of the elliptical loudspeaker array in a 2-dimensional sound ?eld. the solutions of the helmholtz equation in an elliptical coordinate system, which are known as mathieu functions, are used to expand the sound ?eld in an elliptical-coordinate-system-based wave domain. we provide a method to transform the signals recorded by a circular microphone array that are generally expanded with circular harmonics to the mathieu expansion coef?cients. these coef?cients can be applied to derive the driving functions of loudspeakers. computer simulations show that the method is valid for sound ?eld reproduction.},}

TY - paper
TI - 2D Sound Field Reproduction with Elliptical Loudspeaker Array based on Circular Microphone Array Signals
SP - EP -
AU - Ren, Yi
AU - Imaizumi, Kenta
AU - Tsutsumi, Kimitaka
AU - Haneda, Yoichi
PY - 2020
JO - Journal of the Audio Engineering Society
IS -
VO -
VL -
Y1 - May 2020 TY - paper
TI - 2D Sound Field Reproduction with Elliptical Loudspeaker Array based on Circular Microphone Array Signals
SP - EP -
AU - Ren, Yi
AU - Imaizumi, Kenta
AU - Tsutsumi, Kimitaka
AU - Haneda, Yoichi
PY - 2020
JO - Journal of the Audio Engineering Society
IS -
VO -
VL -
Y1 - May 2020
AB - In this paper, we propose a method for sound ?eld reproduction using an elliptical loudspeaker array and a circular microphone array. This study aims to reproduce the interior sound ?eld of the elliptical loudspeaker array in a 2-dimensional sound ?eld. The solutions of the Helmholtz equation in an elliptical coordinate system, which are known as Mathieu functions, are used to expand the sound ?eld in an elliptical-coordinate-system-based wave domain. We provide a method to transform the signals recorded by a circular microphone array that are generally expanded with circular harmonics to the Mathieu expansion coef?cients. These coef?cients can be applied to derive the driving functions of loudspeakers. Computer simulations show that the method is valid for sound ?eld reproduction.