The spatial coherence of noise fields evoked by continuous source distributions

Journal article


Publication Details

Author(s): Bürger M, Abhayapala TD, Hofmann C, Chen H, Kellermann W
Journal: The Journal of the Acoustical Society of America
Publication year: 2017
Volume: 142
Journal issue: 5
Pages range: 3025-3034
ISSN: 1520-8524
Language: English


Abstract

In this work, analytic expressions for the spatial coherence of noise
fields are derived in the modal domain with the aim of providing a
sparse representation. For this purpose, the sound field in a region of
interest is expressed in terms of a given pressure distribution on a
virtual surrounding cylindrical or spherical surface. According to the
Huygens–Fresnel principle, the sound pressure on this surface is
represented by a continuous distribution of elementary line or point
sources, where orthogonal basis functions characterize the spatial
properties. To describe spatially windowed pressure distributions with
arbitrary angular extensions, orthogonal basis functions of limited
angular support are proposed. As special cases, circular and spherical
pressure distributions with uncorrelated source modes of equal power are
investigated. It is shown that these distributions result,
respectively, in cylindrically isotropic and spherically isotropic,
i.e., diffuse noise fields. The analytic expressions derived in this
work allow for a prediction of the spatial coherence between arbitrary
positions within the region of interest, such that no microphones need
to be placed at the actual points of interest. Simulation results are
presented to validate the derived relations


FAU Authors / FAU Editors

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


External institutions
Australian National University (ANU)


How to cite

APA:
Bürger, M., Abhayapala, T.D., Hofmann, C., Chen, H., & Kellermann, W. (2017). The spatial coherence of noise fields evoked by continuous source distributions. The Journal of the Acoustical Society of America, 142(5), 3025-3034. https://dx.doi.org/10.1121/1.5009451

MLA:
Bürger, Michael, et al. "The spatial coherence of noise fields evoked by continuous source distributions." The Journal of the Acoustical Society of America 142.5 (2017): 3025-3034.

BibTeX: 

Last updated on 2018-16-10 at 15:38