The ill-conditioning problem in sound field reconstruction
The ill-conditioning problem in sound field reconstruction
A method for the analysis and reconstruction of a three dimensional sound field using an array of microphones and
an array of loudspeakers is presented. The criterion used to process the microphone signals and obtain the
loudspeakers signals is based on the minimisation of the least-square error between the reconstructed and the
original sound field. This approach requires the formulation of an inverse problem that can lead to unstable solutions
due to the ill-conditioning of the propagation matrix. The concepts of generalised Fourier transform and singular
value decomposition are introduced and applied to the solution of the inverse problem in order to obtain stable
solutions and to provide a clear understanding of the regularisation method.
Fazi, Filippo Maria
e5aefc08-ab45-47c1-ad69-c3f12d07d807
Nelson, Philip A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
October 2007
Fazi, Filippo Maria
e5aefc08-ab45-47c1-ad69-c3f12d07d807
Nelson, Philip A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Fazi, Filippo Maria and Nelson, Philip A.
(2007)
The ill-conditioning problem in sound field reconstruction.
123rd Convention of the Audio Engineering Society, New York, United States.
04 - 07 Oct 2007.
12 pp
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
A method for the analysis and reconstruction of a three dimensional sound field using an array of microphones and
an array of loudspeakers is presented. The criterion used to process the microphone signals and obtain the
loudspeakers signals is based on the minimisation of the least-square error between the reconstructed and the
original sound field. This approach requires the formulation of an inverse problem that can lead to unstable solutions
due to the ill-conditioning of the propagation matrix. The concepts of generalised Fourier transform and singular
value decomposition are introduced and applied to the solution of the inverse problem in order to obtain stable
solutions and to provide a clear understanding of the regularisation method.
This record has no associated files available for download.
More information
Published date: October 2007
Additional Information:
Paper no. 7244
Venue - Dates:
123rd Convention of the Audio Engineering Society, New York, United States, 2007-10-04 - 2007-10-07
Organisations:
Acoustics Group
Identifiers
Local EPrints ID: 147331
URI: http://eprints.soton.ac.uk/id/eprint/147331
PURE UUID: 66f4f6b7-d758-4af7-a1e6-6abdcac30cf6
Catalogue record
Date deposited: 09 Jun 2010 13:45
Last modified: 02 Sep 2023 01:41
Export record
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
