The University of Southampton
University of Southampton Institutional Repository

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)

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.

Full text not available from this repository.

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

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: 18 Jul 2017 23:03

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

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×