Spherical directivity resonance synthesis
Andrew W. Schmeder
The contribution of this paper is the parametric formulation of a sparse representation for synthesizing a signal that has a time-varying spherical directivity component. This class of signals can be considered conceptually as joint angular-temporal impulse responses on the sphere. Using additive linearity we show how to synthesize these signals from a sparse discrete summation of elementary components that are a linear combination of rotation and scattering operators on the sphere that have reflective and rotational resonant oscillations. The paper concludes with a discussion of applications of the method to acoustics and spatial auditory scene rendering technologies.