The spatial coherence of noise fields evoked by continuous source distributions

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autorinnen und Autoren: Bürger M, Abhayapala TD, Hofmann C, Chen H, Kellermann W
Zeitschrift: The Journal of the Acoustical Society of America
Jahr der Veröffentlichung: 2017
Band: 142
Heftnummer: 5
Seitenbereich: 3025-3034
ISSN: 1520-8524
Sprache: Englisch


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-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

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


Einrichtungen weiterer Autorinnen und Autoren

Australian National University (ANU)


Zitierweisen

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: 

Zuletzt aktualisiert 2018-16-10 um 15:38