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Wave Field Synthesis of Moving Sources with Retarded Stationary Phase Approximation

Wave Field Synthesis (WFS) of a moving sound source is of great importance when reproducing dynamic sound scenes. This research describes a time-domain analytical WFS driving functions for the synthesis of uniformly moving acoustic point sources. The results can be regarded as a general WFS solution for both moving and stationary point sources, which can then be directly used in practical applications. The derivation adapts the traditional stationary phase approximation in the mixed temporal-frequency domain to the dynamical description of moving point sources. This results in driving functions for harmonic sources optimized on a reference line. The authors prove that by applying traditional approximations the resulting driving functions formally coincide with the driving functions for stationary sources when the originally static distances are changed to dynamic distances. The validity of the analytical results is demonstrated via numerical simulation examples, including a practical applicable situation: applying multiple linear Secondary Source Distribution (SSD) elements instead of the theoretically infinite SSD.

JAES Volume 63 Issue 12 pp. 958-965; December 2015
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AES - Audio Engineering Society