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Spherical harmonic analysis applied to the reconstruction of the sound field radiated by a loudspeaker (abstract only)

Spherical harmonic analysis applied to the reconstruction of the sound field radiated by a loudspeaker (abstract only)
Spherical harmonic analysis applied to the reconstruction of the sound field radiated by a loudspeaker (abstract only)
The three-dimensional acoustic radiation patterns generated by different models of loudspeaker have been measured in an anechoic environment using an array of 40 omnidirectional microphones arranged on a hemispherical surface. The acquired data have been numerically processed in order to obtain the complete three dimensional reconstruction of the analysed sound field. The theory of the applied method is based on the spherical harmonic decomposition of the sound field defined over the surface of a sphere containing the sound source and sampled at a finite number of positions. The reconstruction of the sound field in the region of the space inside and outside the measurement surface has been obtained by multiplying each coefficient of the spherical harmonic series by the corresponding spherical propagator, defined as the ratio of two spherical Hankel functions. The conditioning of the inverse problem related to the reconstruction of the sound field in the interior of the measurement surface has been analysed and put in relation to the behaviour of the spherical propagators of different orders.
Fazi, Filippo Maria
e5aefc08-ab45-47c1-ad69-c3f12d07d807
Brunel, Vincent
301c65e9-f02d-476f-8746-38fb5a0201d4
Nelson, Philip Arthur
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Fazi, Filippo Maria
e5aefc08-ab45-47c1-ad69-c3f12d07d807
Brunel, Vincent
301c65e9-f02d-476f-8746-38fb5a0201d4
Nelson, Philip Arthur
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9

Fazi, Filippo Maria, Brunel, Vincent and Nelson, Philip Arthur (2008) Spherical harmonic analysis applied to the reconstruction of the sound field radiated by a loudspeaker (abstract only). 2nd ASA-EAA Joint Conference (Acoustics '08), Paris, France. 28 Jun - 03 Jul 2008.

Record type: Conference or Workshop Item (Other)

Abstract

The three-dimensional acoustic radiation patterns generated by different models of loudspeaker have been measured in an anechoic environment using an array of 40 omnidirectional microphones arranged on a hemispherical surface. The acquired data have been numerically processed in order to obtain the complete three dimensional reconstruction of the analysed sound field. The theory of the applied method is based on the spherical harmonic decomposition of the sound field defined over the surface of a sphere containing the sound source and sampled at a finite number of positions. The reconstruction of the sound field in the region of the space inside and outside the measurement surface has been obtained by multiplying each coefficient of the spherical harmonic series by the corresponding spherical propagator, defined as the ratio of two spherical Hankel functions. The conditioning of the inverse problem related to the reconstruction of the sound field in the interior of the measurement surface has been analysed and put in relation to the behaviour of the spherical propagators of different orders.

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More information

Published date: 30 July 2008
Venue - Dates: 2nd ASA-EAA Joint Conference (Acoustics '08), Paris, France, 2008-06-28 - 2008-07-03
Organisations: Acoustics Group

Identifiers

Local EPrints ID: 337587
URI: http://eprints.soton.ac.uk/id/eprint/337587
PURE UUID: 8eae6374-8214-4445-b7b1-dc9cddf13e55
ORCID for Filippo Maria Fazi: ORCID iD orcid.org/0000-0003-4129-1433
ORCID for Philip Arthur Nelson: ORCID iD orcid.org/0000-0002-9563-3235

Catalogue record

Date deposited: 30 Apr 2012 16:02
Last modified: 02 Sep 2023 01:41

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Contributors

Author: Vincent Brunel

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