压缩感知等效源法近场声全息关键参数选取

Research on key parameters selection of near field acoustic holography based on compressed sensing equivalent source method

等效源距离是决定等效源法近场声全息精度的关键参数,传统等效源法中等效源距离根据传递矩阵奇异值分布进行选取,但随着压缩感知的引入,该方法不再适用.通过对压缩感知性质与奇异值分布联合研究,提出一种基于传递矩阵最大列相关系数的压缩感知等效源法的近场声全息等效源位置选取方式.研究结果表明,压缩感知等效源法的等效源距离选取与稀疏基选取有关,传统等效源选取范围距离重建面0.030~0.100 m,而带有稀疏基的等效源选取范围距离重建面0.010~0.060 m,在使用适当稀疏基的情况下,压缩感知方法的等效源布置距离较传统等效源法更为靠近重建面.

The equivalent source distance is the key parameter to determine the accuracy of near-field acoustic holography.In traditional equivalent source method,the equivalent source distance is selected according to the singular value distribution of transfer matrix,but with the introduction of compressed sensing,this method is no longer applicable.Based on the joint study of the properties of compressed sensing and singular value distribution,a method of selecting the equivalent source position of compressed near-field acoustic holography based on the maximum column correlation coefficient of transfer matrix is proposed.The results show that the selection of the equivalent source distance is related to the selection of the sparse basis,the traditional equivalent source selection range is from 0.030 m to 0.100 m at the reconstruction surface,while the selection range of equivalent source with sparse basis is from 0.010 m to 0.060 m at the reconstruction surface,which proves that the equivalent source placement distance of the compressed sensing method is closer to the reconstruction surface than that by the traditional equivalent source method when the appropriate sparse basis is used.