SYNTHESIS OF THE DIFFUSE RANDOM PRESSURE FIELD USING ACTIVE AND REACTIVE RADIATION MODES
DOI:
https://doi.org/10.56083/RCV3N11-052Keywords:
Sound Synthesis, Diffuse Pressure Field, Active and Reactive Radiation Modes, Cross-Spectral Density FunctionAbstract
This work investigates how active and reactive radiation modes can be used in the synthesis of random pressure fields developed on a rigid test panel. The active and reactive radiation modes are the eigenvectors of the real and imaginary part of the matrix that couples the sound power of the acoustic model. The matrix that couples the power is numerically obtained through finite element analysis of the vibroacoustic problem. The reduced modal matrix incorporated into the synthesis method allows regularization through the most efficient active and reactive radiation modes. The statistical properties of the diffuse pressure field are specified in its spectral density matrix, obtained from the simulation surface. By analyzing control metrics, for numerical simulations with and without regularization, it is possible to verify the feasibility of the acoustic model in generating a random pressure field, on a rigid test panel, whose spatial statistical properties are similar to those of the target pressure field.
References
Bravo, T. & Maury, C. (2006). The experimental synthesis of random pressure fields: methodology. The Journal of the Acoustical Society of America, 120(5):2702–2711.
https://doi.org/10.1121/1.2354008 DOI: https://doi.org/10.1121/1.2354008
Elliott, S. J. (2001). Signal processing for active control. Academic Press, London, UK. DOI: https://doi.org/10.1016/B978-012237085-4/50012-0
http://eprints.soton.ac.uk/id/eprint/10784
Elliott, S. J.; Maury, C. & Gardonio, P. (2005). The synthesis of spatially correlated random pressure fields. The Journal of the Acoustical Society of America, 117:1186–1201.
https://doi.org/10.1121/1.1850231 DOI: https://doi.org/10.1121/1.1850231
Maury, C. & Bravo, T. (2006). The experimental synthesis of random pressure fields: practical feasibility. The Journal of the Acoustical Society of America, 120:2712–2723.
https://doi.org/10.1121/1.2354005 DOI: https://doi.org/10.1121/1.2354005
Merlo, C. A.; Pasqual, A. M. & Medeiros, E. B. Sound field synthesis on flat panels using a planar source array controlled by its active and reactive radiation modes. Acta Acustica united with Acustica, 105(1):139-151, 2019.
https://doi.org/10.3813/AAA.919295 DOI: https://doi.org/10.3813/AAA.919295
Pasqual, A. M.; Arruda, J. R. F. & Herzog, P. Application of acoustic radiation modes in the directivity control by a spherical loudspeaker array. Acta Acustica united with Acustica, 96(1):32–42, 2010.
https://doi.org/10.3813/AAA.918253 DOI: https://doi.org/10.3813/AAA.918253
Pasqual, A. M. & Martin, V. On the acoustic radiation modes of compact regular polyhedral arrays of independent loudspeakers. The Journal of the Acoustical Society of America, 130(3):1325–1336, 2011.
https://doi.org/10.1121/1.3605528 DOI: https://doi.org/10.1121/1.3605528
Pasqual, A. M. & Herzog, P. Pilotage d’um réseau de sources acoustiques à partir de ses modes de rayonnement. In Actes du 12e Congrès Français d’Acoustique, pages 1885–1891, 2014.