Wave Field Synthesis of Moving Sources with Retarded Stationary Phase Approximation

Firtha G, Fiala P. Wave Field Synthesis of Moving Sources with Retarded Stationary Phase Approximation. J Audio Eng Soc. 2015;63(12):958-965. doi:10.17743/jaes.2015.0078

@article{Firtha2015_18054,
  author = {Firtha, Gergely and Fiala, Peter},
  title = {{Wave Field Synthesis of Moving Sources with Retarded Stationary Phase Approximation}},
  journal = {Journal of the Audio Engineering Society},
  volume = {63},
  number = {12},
  pages = {958--965},
  year = {2015},
  month = dec,
  publisher = {Audio Engineering Society},
  doi = {10.17743/jaes.2015.0078},
  url = {https://doi.org/10.17743/jaes.2015.0078}
}

TY  - JOUR
TI  - Wave Field Synthesis of Moving Sources with Retarded Stationary Phase Approximation
AU  - Firtha, Gergely
AU  - Fiala, Peter
T2  - Journal of the Audio Engineering Society
J2  - J. Audio Eng. Soc.
VL  - 63
IS  - 12
SP  - 958
EP  - 965
PY  - 2015
DA  - 2015/12/06
DO  - 10.17743/jaes.2015.0078
UR  - https://doi.org/10.17743/jaes.2015.0078
PB  - Audio Engineering Society
LA  - en
AB  - 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.
ER  -