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.

Authors: Fazi, Filippo M.; Nelson, Philip A.
Affiliation: ISVR - University of Southampton
AES Convention: 123 (October 2007) Paper Number: 7244
Publication Date: October 1, 2007 Import into BibTeX
Subject: Acoustic Modeling
Permalink: https://www.aes.org/e-lib/browse.cfm?elib=14302

Click to purchase paper as a non-member or login as an AES member. If your company or school subscribes to the E-Library then switch to the institutional version. If you are not an AES member and would like to subscribe to the E-Library then Join the AES!

This paper costs $33 for non-members and is free for AES members and E-Library subscribers.

Learn more about the AES E-Library

E-Library Location: (CD 123Papers)   /123/7244.pdf

Start a discussion about this paper!