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This two-part paper explores 3-D sound field reproduction by combining low order spherical ambisonics and high order circular ambisonics in order to provide higher resolution in the horizontal plane. Part I aims at rigorously establishing the solution of the Sound Field Reproduction (SFR) problem for a circular distribution of sources. This solution is derived from the cylindrical and spherical distributions to obtain two distinct approximate formulations involving either cylindrical harmonic or spherical harmonic expansions. Numerical simulations show that the two formulations lead to similar results. In the context of mixing a dense circular loudspeaker array for SFR in the horizontal plane with a sparse spherical array for 3-D SFR, the spherical harmonic solution for the circular source array will be privileged. It is then possible to combine the two systems in a high-pass/low-pass architecture in the spherical harmonics space. The combined system is described and investigated in Part II.
Author (s): Grandjean, Pierre; Berry, Alain; Gauthier, Philippe-Aubert
Affiliation:
Groupe d’Acoustique de l’Université de Sherbrooke, Université de Sherbrooke, Sherbrooke, Canada; Centre for Interdisciplinary Research in Music Media and Technology, McGill University, Montréal, Canada; Groupe d’Acoustique de l’Université de Sherbrooke, Université de Sherbrooke, Sherbrooke, Canada; Centre for Interdisciplinary Research in Music Media and Technology, McGill University, Montréal, Canada; Groupe d’Acoustique de l’Université de Sherbrooke, Université de Sherbrooke, Sherbrooke, Canada; Centre for Interdisciplinary Research in Music Media and Technology, McGill University, Montréal, Canada; École des arts visuels et médiatiques, Université du Québec à Montréal, Montréal, Canada
(See document for exact affiliation information.)
Publication Date:
2021-03-06
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Grandjean, Pierre; Berry, Alain; Gauthier, Philippe-Aubert; 2021; Sound Field Reproduction by Combination of Circular and Spherical Higher-Order Ambisonics: Part I—A New 2.5-D Driving Function for Circular Arrays [PDF]; Groupe d’Acoustique de l’Université de Sherbrooke, Université de Sherbrooke, Sherbrooke, Canada; Centre for Interdisciplinary Research in Music Media and Technology, McGill University, Montréal, Canada; Groupe d’Acoustique de l’Université de Sherbrooke, Université de Sherbrooke, Sherbrooke, Canada; Centre for Interdisciplinary Research in Music Media and Technology, McGill University, Montréal, Canada; Groupe d’Acoustique de l’Université de Sherbrooke, Université de Sherbrooke, Sherbrooke, Canada; Centre for Interdisciplinary Research in Music Media and Technology, McGill University, Montréal, Canada; École des arts visuels et médiatiques, Université du Québec à Montréal, Montréal, Canada; Paper ; Available from: https://aes2.org/publications/elibrary-page/?id=21024
Grandjean, Pierre; Berry, Alain; Gauthier, Philippe-Aubert; Sound Field Reproduction by Combination of Circular and Spherical Higher-Order Ambisonics: Part I—A New 2.5-D Driving Function for Circular Arrays [PDF]; Groupe d’Acoustique de l’Université de Sherbrooke, Université de Sherbrooke, Sherbrooke, Canada; Centre for Interdisciplinary Research in Music Media and Technology, McGill University, Montréal, Canada; Groupe d’Acoustique de l’Université de Sherbrooke, Université de Sherbrooke, Sherbrooke, Canada; Centre for Interdisciplinary Research in Music Media and Technology, McGill University, Montréal, Canada; Groupe d’Acoustique de l’Université de Sherbrooke, Université de Sherbrooke, Sherbrooke, Canada; Centre for Interdisciplinary Research in Music Media and Technology, McGill University, Montréal, Canada; École des arts visuels et médiatiques, Université du Québec à Montréal, Montréal, Canada; Paper ; 2021 Available: https://aes2.org/publications/elibrary-page/?id=21024
@article{grandjean2021sound,
author={grandjean pierre and berry alain and gauthier philippe-aubert},
journal={journal of the audio engineering society},
title={sound field reproduction by combination of circular and spherical higher-order ambisonics: part i—a new 2.5-d driving function for circular arrays},
year={2021},
volume={69},
issue={3},
pages={152-165},
month={march},}
TY – paper
TI – Sound Field Reproduction by Combination of Circular and Spherical Higher-Order Ambisonics: Part I—A New 2.5-D Driving Function for Circular Arrays
SP – 152 EP – 165
AU – Grandjean, Pierre
AU – Berry, Alain
AU – Gauthier, Philippe-Aubert
PY – 2021
JO – Journal of the Audio Engineering Society
VO – 69
IS – 3
Y1 – March 2021