Computational reduction of the spectral division method for synthesizing moving sources by source trajectory approximation

Abstract

This paper proposes a method to reduce the computational cost of the spectral division method that synthesizes moving sources. The proposed method consists of two approximations: that of the secondary source driving function and that of the trajectory of the moving sources. Combining these two approximations simplifies the integral calculations that traditionally appear in the driving functions, replacing them with a correction of the frequency magnitude and phase of the source signals. Numerical simulations and subjective experiments show that the computational cost can be reduced by a factor of 50–100 compared to the conventional method without significantly affecting the synthesized sound field and the sense of localization.