Two Sound Field Reconstruction Techniques Based on Integral Equations

We describe two methods for sound field reconstruction which can be used for splitting the sound field coming from two different sources in space. The methods provide a constructive scheme to separate for example two voices recorded simultaneously by a synchronized array of microphones for which the location of the speakers in space is approximately known. The first method is based on the potential approach of Kirsch-Kress and has been first suggested by Ben-Hassen and Potthast [3]. The second method is based on Potthast's Point Source Method [2], where we propose a new version which can be used for source splitting. For both methods we describe the basic derivation steps and discuss convergence, numerical realization and stabilization aspects.