Phase approximation of linear geometry driving functions for sound field synthesis

Driving functions are particular filters, developed in Wave Field Synthesis context, which allow the reconstruction of a desired sound field produced by a virtual source through a loudspeakers array. In this paper a detailed study of linear array driving functions in terms of time and frequency domains behavior is presented. Subsequently, two phase approximations are explored in order to simplify the temporal response and to achieve shorter filters thus reducing the complexity associated with their implementation. Simulations results are presented in order to demonstrate that the approximations do not introduce artifacts in the reproduced sound fields.