Synthesis of sound field from moving complex sources with arbitrary trajectories by linear and spherical loudspeaker arrays

Abstract

The spectral division method (SDM) and near-field compensated higher order ambisonics (NFC-HOA) are sound field synthesis techniques based on the spatial Fourier representation of sound fields. Previous studies have derived the driving functions of SDM for sound field synthesis with consideration to uniformly moving point sources and moving point sources with arbitrary trajectories. However, the driving functions of NFC-HOA for synthesizing sound fields from moving sound sources have not been proposed to date. For a more realistic auditory experience, the synthesis of a sound field produced by a moving sound source with a complex radiation property is required. This study focused on deriving the driving functions for synthesizing sound fields produced by moving sound sources with arbitrary trajectories and radiation properties. Sound fields were formulated in the angular spectrum and spherical harmonic domains and applied to SDM and NFC-HOA, respectively. Numerical and measurement experiments were conducted to evaluate the proposed method. The results reveal that the proposed method can synthesize the desired sound fields.