Audio Signal Processing in Wavenumber Domain

Plane Wave, Circular Harmonic, Spherical Harmonic Expansions and Array Signal Processing

Abstract

Array signal processing with multiple microphones or loudspeakers is important for various applications because it can use spatial information. This article explains the fundamentals of the spatial Fourier transforms for the linear array, circular array, and spherical array from the viewpoint of the wave equation. Array processing methods in the wavenumber domain for wave field synthesis and directivity control are also described.