CONSIDERATION ON INPERFECT MODEL OF BOUNDARY CONDITION FOR SOUND FIELD CONTROL BY THE IN- VERSE APPROACH

Unlike in an exterior space, to render a desired sound field in an interior space, the reverberant field induced by the walls should be considered. However, perfect identification of the boundary condition for every reflector in the space is difficult in a real situation, therefore approximations are generally adopted to simulate the acoustical characteristics in a room. In this work, the application of a source array configuration that can maintain the performance despite the input noise and deviation of boundary conditions is investigated as an alternative method to perfect modelling of wall reflection condition. Because the inefficiency of the source system is an important reason for instability, an efficient source configuration and optimized solution with low power consumption can make the solution robust. This solution which the redundancy is minimized is also robust to the modelling of error which is included in the transfer matrix because of the perturbation theory. Here, the effectiveness of the selection method based on the linear independence of matrix elements is applied to select an efficient source configuration to control a sound field in an interior space. The simulation results show that this method can achieve a sound field that is relatively robust to both the noise of the input signal and the modelling error of the boundary condition.

[1]  A. Seybert,et al.  An advanced computational method for radiation and scattering of acoustic waves in three dimensions , 1985 .

[2]  D. Kammer Sensor Placement for On-Orbit Modal Identification and Correlation of Large Space Structures , 1990, 1990 American Control Conference.

[3]  A. Berkhout,et al.  Acoustic control by wave field synthesis , 1993 .

[4]  Philip A. Nelson Active Control Of Acoustic Fields And The Reproduction Of Sound , 1994 .

[5]  Per Christian Hansen,et al.  Rank-Deficient and Discrete Ill-Posed Problems , 1996 .

[6]  Ville Pulkki,et al.  Virtual Sound Source Positioning Using Vector Base Amplitude Panning , 1997 .

[7]  S. Ise A principle of sound field control based on the Kirchhoff-Helmholtz integral equation and the theory of inverse systems , 1999 .

[8]  Kim,et al.  Design of an optimal wave-vector filter for enhancing the resolution of reconstructed source field by near-field acoustical holography (NAH) , 2000, The Journal of the Acoustical Society of America.

[9]  Jerome Daniel,et al.  Further Investigations of High-Order Ambisonics and Wavefield Synthesis for Holophonic Sound Imaging , 2003 .

[10]  Mark A. Poletti,et al.  Three-Dimensional Surround Sound Systems Based on Spherical Harmonics , 2005 .

[11]  Marinus M. Boone,et al.  Holographic design of a source array achieving a desired sound field , 2008 .

[12]  Mingsian R. Bai,et al.  Comparative Study of Design and Implementation Strategies of Automotive Virtual Surround Audio Systems , 2010 .

[13]  C. Jeong Absorption and impedance boundary conditions for phased geometrical-acoustics methods. , 2012, The Journal of the Acoustical Society of America.

[14]  SW Hong,et al.  Configuration of a source array for rendering a planar propagating wave field in an interior space , 2014 .

[15]  J. Ih,et al.  Influence of impedance phase angle on sound pressures and reverberation times in a rectangular room. , 2014, The Journal of the Acoustical Society of America.

[16]  Takeshi Toi,et al.  Positioning actuators in efficient locations for rendering the desired sound field using inverse approach , 2015 .