Broadband multizone sound rendering by jointly optimizing the sound pressure and particle velocity

Journal article


Publication Details

Author(s): Bürger M, Hofmann C, Kellermann W
Journal: The Journal of the Acoustical Society of America
Publication year: 2018
Volume: 143
Journal issue: 3
Pages range: 1477-1490
ISSN: 1520-8524
Language: English


Abstract

In this paper, a recently proposed approach to multizone sound field synthesis, referred to as joint pressure and velocity matching (JPVM), is investigated analytically using a spherical harmonics representation of the sound field. The approach is motivated by the Kirchhoff–Helmholtz integral equation and aims at controlling the sound field inside the local listening zones by evoking the sound pressure and particle velocity on surrounding contours. Based on the findings of the modal analysis, an improved version of JPVM is proposed, which provides both better performance and lower complexity. In particular, it is shown analytically that the optimization of the tangential component of the particle velocity vector, as is done in the original JPVM approach, is very susceptible to errors and thus not pursued anymore. Furthermore, the analysis provides fundamental insights as to how the spherical harmonics used to describe three-dimensional sound fields translate into two-dimensional basis functions as observed on the contours surrounding the zones. By means of simulations, it is verified that discarding the tangential component of the particle velocity vector ultimately leads to an improved performance. Finally, the impact of sensor noise on the reproduction performance is assessed.


FAU Authors / FAU Editors

Bürger, Michael
Professur für Nachrichtentechnik
Hofmann, Christian
Professur für Nachrichtentechnik
Kellermann, Walter Prof. Dr.-Ing.
Professur für Nachrichtentechnik


How to cite

APA:
Bürger, M., Hofmann, C., & Kellermann, W. (2018). Broadband multizone sound rendering by jointly optimizing the sound pressure and particle velocity. The Journal of the Acoustical Society of America, 143(3), 1477-1490. https://dx.doi.org/10.1121/1.5026508

MLA:
Bürger, Michael, Christian Hofmann, and Walter Kellermann. "Broadband multizone sound rendering by jointly optimizing the sound pressure and particle velocity." The Journal of the Acoustical Society of America 143.3 (2018): 1477-1490.

BibTeX: 

Last updated on 2019-02-01 at 13:10