平面近场声全息中指数滤波器窗函数设计优化

对基于空间二维傅里叶变换法的平面近场声全息算法中指数滤波器窗函数的合理设置进行了分析和优化。根据优化效果给出一定声源频率条件下，指数滤波器窗函数参数合理设置的建议。同时研究了指数滤波器参数最优设置与声源频率之间的对应关系，并寻找出对应不同声源频率的指数滤波器参数的最优设置。结果表明：相比较窗函数陡度系数的取值变化，滤波器截止波数的取值变化对重建效果影响更加明显；当声源频率在100～1 500 Hz之间变化时，随着声源频率的增加，指数滤波器窗函数的陡度系数的最优值逐渐减小，滤波器截止波数的最优值逐渐增大。

Optimization of window function design of exponential filter in planar near-field acoustic holography

In this paper, the reasonable setting of window function of exponential filter in near-field acoustic holography based on spatial two-dimensional Fourier transform is analyzed and optimized. According to the optimization effect, some suggestions are given for the reasonable setting of the window function parameters of the exponential filter at a certain sound source frequency. At the same time, the corresponding relationship between the optimal setting of exponential filter parameters and sound source frequency is studied, and the optimal setting of exponential filter parameters corresponding to different sound source frequencies is found. The results show that compared with the change of the steepness coefficient of the window function, the change of the cutoff wave number of the filter has a more obvious influence on the reconstruction effect; when the sound source frequency varies from 100 Hz to 1 500 Hz, with the increase of the sound source frequency, the optimal value of the steepness coefficient of the exponential filter window function decreases while the optimal value of the filter cutoff wave number increases.