Uniform Sound Field Reconstruction Algorithm Based on Total Least Squares in Non-Free Field

Abstract

In order to obtain the uniform distribution of sound field in the target region, the least square method is usually used to obtain the approximate solution based on free field. However, the assumption of free field does not take into account the complexity of the actual transfer function, and the least square method does not take into account the error of measurement transfer function and the ill-condition of the least square solution. To solve this problem, the transfer function of non-free field array is obtained experimentally. The error of the transfer function is taken into account by the total least square method and the ill-condition of the solution is suppressed by truncating singular value decomposition. Simulation and experiment show that this method can obtain more uniform sound field distribution in the target area