A linear operator for the computation of soundfield maps

In the process of soundfield imaging, as defined in the literature, a microphone array is subdivided into overlapping sub-arrays and soundfield images are obtained by juxtaposition of spatial spectra computed from individual subarray data. In this paper we show that the whole process can be conveniently seen as a linear transformation applied to array data. This linear transformation embeds a nonlinear mapping to cast the directional information in a more convenient domain: the ray space. We show by simulations that the proposed formulation is suitable for fast implementation of the soundfield imaging operation, and, more specifically, for the localization of acoustic sources.