Sparse plane-wave decomposition using a planar microphone array

Sound field analysis based on plane-wave decomposition has been widely used in various applications. Spherical microphone arrays are usually required in three-dimensional sound field analysis; however, the three-dimensional geometry of the microphone array hinders the development for practical applications. This paper presents a sparse plane-wave decomposition method to analyze the three-dimensional sound field using a planar array instead of a spherical array. And this method is based on spherical harmonic decomposition. Both omni-directional and differential microphones are used to capture the three-dimensional sound field on a plane, which achieves the same function as spherical arrays. When the sound field is dominated by a set of plane waves, the plane-wave decomposition problem can be solved under the compressed sensing framework. Simulation results demonstrate that the proposed planar array has good reconstruction performance for plane wave sound fields.