基于声辐射模态的声场重建中的测点优化方法

摘要

For an acoustic field reconstruction using the acoustic radiation mode theory,the distribution of measurement points is a key factor,especially,when the number of measurement points is small.In order to determine the optimal arrangement of measurement points,a method based on acoustic radiation modes was proposed.A loop iteration process was adopted in this proposed method.Singular value decomposition (SVD)of the matrix of acoustic radiation modes was employed in each loop iteration,and the measurement point that was the most sensitive to the minimum singular value was removed.Finally,those points that minimize the condition number of reconstruction equations were obtained.Furthermore,compared with the situation when measurement points distribute evenly,the test results showed that the acoustic field of sound sources can be reconstructed effectively and the precision of reconstruction is much better when measurement points distribute according to their optimal arrangement obtained with the proposed method.%少测点条件下，利用声辐射模态理论重建声场时，测点布置方式是决定声场重建精度的一个关键因素。为求得最佳测点布置方式，提出了一种基于声辐射模态的最优测点选择方法，即基于声辐射模态矩阵的奇异值分解，采用循环迭代的方式，逐次去除对其最小奇异值最敏感的测点，从而得到了一组使重建方程条件数最小的测点。实验结果表明，利用文中提出的最优测点选择方法布置测点，能够对声场进行有效的重建，重建效果优于均匀布置方式，显著提高了声场重建精度。