Rotation of Sound Fields Which Are Represented by Means of a Plane Wave Expansion.

The synthesis of sound fields by means of planes waves is a widely used approach in auralization. In this paper, two methods for rotating acoustic fields, which are represented by this propagating kernel are investigated. For this, numerical simulations of acoustic fields that satisfy the homogeneous Helmholtz equation are performed. From this data, rotation algorithms are derived based on a spherical harmonic transformation and vector base amplitude panning functions. The results indicate that both methods are suitable for the generation of a rotation operator when the sound field is represented by means of plane waves. Nevertheless, the use of spherical harmonics leads to more accurate sound field reconstruction as long as the number of coefficients is equal to the number of plane waves considered in the expansion.