Download Air Absorption Filtering Method Based on Approximate Green's Function for Stokes' Equation Air absorption effects lead to significant attenuation in high frequencies over long distances and this is critical to model in wide-band
virtual acoustic simulations. Air absorption is commonly modelled
using filter banks applied to an impulse response or to individual
impulse events (rays or image sources) arriving at a receiver. Such
filter banks require non-trivial fitting to air absorption attenuation
curves, as a function of time or distance, in the case of IIR approximations, or may suffer from overlap-add artefacts in the case of FIR
approximations. In this study, a filter method is presented which
avoids the aforementioned issues. The proposed approach relies on a
time-varying diffusion kernel that is found in an approximate Green’s
function solution to Stokes’ equation in free space. This kernel acts
as a low-pass filter that is parametrised by physical constants, and can
be applied to an impulse response using time-varying convolution.
Numerical examples are presented demonstrating the utility of this
approach for adding air absorption effects to room impulse responses
simulated using geometrical acoustics or wave-based methods.