A Physically Motivated Approach for Binaural Simulation of Moving Sound Sources and Receivers
* Presenting author
In this paper we derive a physically motivated approach to handle the simulation of moving sound sources and receivers including phenomenas like the Doppler effect in audio signal processing by using the concept of retarded time in a very rigorous way.After recapitulating the physical basis of moving point-like sound sources and receivers we transfer an alternative formulation of the received signal based on superposition of Green’s functions to a system theory point of view. A first proof of the validity of this formulation is shown for continuous-time systems. Afterwards we consider the discrete-time version and reveal the strengths and the limits of this approach. Finally a binaural receiver is added to the model. The proposed formulation is anchored on a physical basis and therefore it handles physical effects inherently. Beside the correct reproduction of the Doppler shift it also includes the physically attested amplitude shift of the received acoustic signal for a moving sound source and mislocalization due to limited speed of sound. Nevertheless the specific implementation for discrete-time signal processing can be challenging. We present possible implementations and investigate the limits on some examples. The simulated results are measured against physically predictable features.