Spherical Decomposition of Arbitrary Scattering Geometries for Virtual Acoustic Environments

Abstract

A method is proposed to encode the acoustic scattering of objects for virtual acoustic applications through a multiple-input and multiple-output framework. The scattering is encoded as a matrix in the spherical harmonic domain, and can be re-used and manipulated (rotated, scaled and translated) to synthesize various sound scenes. The proposed method is applied and validated using Boundary Element Method simulations which shows accurate results between references and synthesis. The method is compatible with existing frameworks such as Ambisonics and image source methods.

Grouped Feedback Delay Networks With Frequency-Dependent Coupling

“…We design an FIR filter from (21) to mimic the frequencydependent diffraction effects at the aperture between two rooms. With increasing mixing in an FDN, reflections from all directions will be incident on the aperture.…”

“…Although this article focuses on coupled room modeling, the paraunitary matrix design principles discussed here have a broader application area. They can be used to model any frequency-dependent, lossless energy exchange between coupled systems, such as bridge-string coupling in musical instruments [20] or frequency-dependent scattering from objects [21].…”

Sector-Based Encoding and Data Compression of Virtual Acoustic Scattering

“…Recently, a method to encode the scattering properties of arbitrary geometries into the spherical harmonic domain has been proposed [12]. A spherical harmonic representation of scattering benefits from the existing efficient platforms for rendering spherical harmonics signals, such as High-Order Ambisonics [13], as well as its various manipulation tools: rotation, translation and scaling.…”