Beamforming Regularization, Scaling Matrices, and Inverse Problems for Sound Field Extrapolation and Characterization: Part I – Theory

Gauthier PA, Chambatte É, Camier C, Pasco Y, Berry A. Beamforming Regularization, Scaling Matrices, and Inverse Problems for Sound Field Extrapolation and Characterization: Part I – Theory. J Audio Eng Soc. 2014;62(3):77-98. doi:10.17743/jaes.2014.0007

@article{Gauthier2014_17125,
  author = {Gauthier, Philippe-Aubert and Chambatte, Éric and Camier, Cédric and Pasco, Yann and Berry, Alain},
  title = {{Beamforming Regularization, Scaling Matrices, and Inverse Problems for Sound Field Extrapolation and Characterization: Part I – Theory}},
  journal = {Journal of the Audio Engineering Society},
  volume = {62},
  number = {3},
  pages = {77--98},
  year = {2014},
  month = mar,
  publisher = {Audio Engineering Society},
  doi = {10.17743/jaes.2014.0007},
  url = {https://doi.org/10.17743/jaes.2014.0007}
}

TY  - JOUR
TI  - Beamforming Regularization, Scaling Matrices, and Inverse Problems for Sound Field Extrapolation and Characterization: Part I – Theory
AU  - Gauthier, Philippe-Aubert
AU  - Chambatte, Éric
AU  - Camier, Cédric
AU  - Pasco, Yann
AU  - Berry, Alain
T2  - Journal of the Audio Engineering Society
J2  - J. Audio Eng. Soc.
VL  - 62
IS  - 3
SP  - 77
EP  - 98
PY  - 2014
DA  - 2014/03/06
DO  - 10.17743/jaes.2014.0007
UR  - https://doi.org/10.17743/jaes.2014.0007
PB  - Audio Engineering Society
LA  - en
AB  - The underlying hypothesis in spatial sound reproduction technologies is that a listener immersed in a physical reconstruction of a target sound field will experience the appropriate perception over a large listening area. The aim of this paper is twofold: to develop and describe a method of spatial sound field extrapolation (SFE) based on microphone array measurements of arbitrary geometry, and to develop and define a sound field characterization method and a sound field classification based on known objective and subjective metrics. To achieve SFE, a recently developed method was proposed and further analyzed. Once SFE was achieved, the inverse problem solution was investigated to evaluate different sound field metrics: energy density, sound intensity, direction of arrival, diffuseness, velocity vector, energy vector, directional energy, interaural time difference, incident directivity factor, incident directivity index, and directional diffusion.
ER  -