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The ill-conditioning problem in sound field reconstruction

Fazi, Filippo Maria and Nelson, Philip A. (2007) The ill-conditioning problem in sound field reconstruction At 123rd Convention of the Audio Engineering Society, United States. 05 - 08 Oct 2007. 12 pp.

Record type: Conference or Workshop Item (Paper)


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.

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More information

Published date: October 2007
Additional Information: Paper no. 7244
Venue - Dates: 123rd Convention of the Audio Engineering Society, United States, 2007-10-05 - 2007-10-08
Organisations: Acoustics Group


Local EPrints ID: 147331
PURE UUID: 66f4f6b7-d758-4af7-a1e6-6abdcac30cf6

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Date deposited: 09 Jun 2010 13:45
Last modified: 18 Jul 2017 23:03

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