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. In: AES Convention 131. Audio Engineering Society; 2011. Paper 8526. Available from: https://aes.org/publications/elibrary-page/?id=16052

@inproceedings{Gauthier2011_16052,
  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}},
  booktitle = {AES Convention 131},
  note = {Paper 8526},
  year = {2011},
  month = oct,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=16052}
}

TY  - CPAPER
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  - AES Convention 131
M1  - Paper 8526
PY  - 2011
DA  - 2011/10/06
UR  - https://aes.org/publications/elibrary-page/?id=16052
PB  - Audio Engineering Society
LA  - en
AB  - Sound field extrapolation (SFE) is aimed at the prediction of a sound field in an extrapolation region using a microphone array in a measurement region. For sound environment reproduction purposes, sound field characterization (SFC) aims at a more generic or parametric description of a measured or extrapolated sound field using different physical or subjective metrics. In this paper, a SFE method recently introduced is presented and further developed. The method is based on an inverse problem formulation combined with a beamforming matrix in the discrete smoothing norm of the cost function. The results obtained from the SFE method are applied to SFC for subsequent sound environment reproduction. A set of classification criteria is proposed to distinguish simple types of sound fields on the basis of two simple scalar metrics. A companion paper presents the experimental verifications of the theory presented in this paper.
ER  -