The University of Southampton
University of Southampton Institutional Repository

Source splitting via the point source method

Potthast, Roland, Fazi, Filippo and Nelson, Philip A. (2010) Source splitting via the point source method Inverse Problems, 26, (4), p. 45002. (doi:10.1088/0266-5611/26/4/045002).

Record type: Article


We introduce a new algorithm for source identification and field splitting based on the point source method (Potthast 1998 A point-source method for inverse acoustic and electromagnetic obstacle scattering problems IMA J. Appl. Math. 61 119–40, Potthast R 1996 A fast new method to solve inverse scattering problems Inverse Problems 12 731–42). The task is to separate the sound fields uj, j = 1, ..., n of n \in \mathbb {N} sound sources supported in different bounded domains G1, ..., Gn in \mathbb {R}^3 from measurements of the field on some microphone array—mathematically speaking from the knowledge of the sum of the fields u = u1 + sdotsdotsdot + un on some open subset ? of a plane. The main idea of the scheme is to calculate filter functions g_1, \ldots, g_n, n\in \mathbb {N} , to construct uell for ell = 1, ..., n from u|? in the form

u_{\ell }(x) = \int _{\Lambda } g_{\ell,x}(y) u(y) {\,\rm d}s(y), \qquad \ell =1,\ldots, n.

We will provide the complete mathematical theory for the field splitting via the point source method. In particular, we describe uniqueness, solvability of the problem and convergence and stability of the algorithm. In the second part we describe the practical realization of the splitting for real data measurements carried out at the Institute for Sound and Vibration Research at Southampton, UK. A practical demonstration of the original recording and the splitting results for real data is available online.

Full text not available from this repository.

More information

Published date: 1 March 2010
Keywords: inverse problems, source localization and parameter estimation, acoustic array systems and processing, beam-forming
Organisations: Inst. Sound & Vibration Research, Fluid Dynamics & Acoustics Group


Local EPrints ID: 147103
ISSN: 0266-5611
PURE UUID: 91ab92c3-68f0-4037-8986-68116a2bad4f

Catalogue record

Date deposited: 23 Apr 2010 09:10
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 supports OAI 2.0 with a base URL of

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.