Weighted Pressure and Mode Matching for Sound Field Reproduction: Theoretical and Experimental Comparisons

Koyama S, Kimura K, Ueno N. Weighted Pressure and Mode Matching for Sound Field Reproduction: Theoretical and Experimental Comparisons. J Audio Eng Soc. 2023;71(4):173-185. doi:10.17743/jaes.2022.0058

@article{Koyama2023_22039,
  author = {Koyama, Shoichi and Kimura, Keisuke and Ueno, Natsuki},
  title = {{Weighted Pressure and Mode Matching for Sound Field Reproduction: Theoretical and Experimental Comparisons}},
  journal = {Journal of the Audio Engineering Society},
  volume = {71},
  number = {4},
  pages = {173--185},
  year = {2023},
  month = apr,
  publisher = {Audio Engineering Society},
  doi = {10.17743/jaes.2022.0058},
  url = {https://doi.org/10.17743/jaes.2022.0058}
}

TY  - JOUR
TI  - Weighted Pressure and Mode Matching for Sound Field Reproduction: Theoretical and Experimental Comparisons
AU  - Koyama, Shoichi
AU  - Kimura, Keisuke
AU  - Ueno, Natsuki
T2  - Journal of the Audio Engineering Society
J2  - J. Audio Eng. Soc.
VL  - 71
IS  - 4
SP  - 173
EP  - 185
PY  - 2023
DA  - 2023/04/06
DO  - 10.17743/jaes.2022.0058
UR  - https://doi.org/10.17743/jaes.2022.0058
PB  - Audio Engineering Society
LA  - en
AB  - Two sound field reproduction methods, weighted pressure matching and weighted mode matching, are theoretically and experimentally compared.Weighted pressure and mode matching are a generalization of conventional pressure and mode matching, respectively. Both methods are derived by introducing a weighting matrix in the pressure and mode matching. The weighting matrix in the weighted pressure matching is defined on the basis of the kernel interpolation of the sound field from pressure at a discrete set of control points. In weighted mode matching, the weighting matrix is defined by a regional integration of spherical wavefunctions. It is theoretically shown that the weighted pressure matching is a special case of the weighted mode matching by infinite-dimensional harmonic analysis for estimating expansion coefficients from pressure observations. The difference between the two methods is discussed through experiments.
ER  -