【摘要】 分析了实空间离散格林函数的特点和平面声全息重构卷积计算的特殊性 ,推导了在重构条件下二维循环卷积与重构卷积的关系。理论上证明了在全息重构中将二维全息声压序列补零使其成为原序列长度的两倍 ,而二维格林函数序列无需进行补零处理仍可由二维离散傅氏变换准确地得到全息重构卷积结果 ,而不会产生循环卷积中的混迭现象 ,即不存在所谓的重构“卷绕”误差。同时还证明了实空间格林函数的取值不确定性不会影响重构结果 ,并通过仿真算例进行了验证。更多还原

【Abstract】 Characteristics of the discrete real-space Green′s function and particularities of the discrete algorithm of the planar acoustical holography reconstruction convolution are analyzed. The relation between the two-dimensional cyclic convolution and the discrete reconstruction convolution is educed. It is theoretically proved that the exact reconstruction convolution result can be obtained by the two-dimensional discrete Fourier transform on holographic sound pressure sequences with zeros-padding and Green′s function sequences can obtain the result without zeros-padding. And it is also proved that uncertainty of value at edge of Green′s function sequences doesn′t influence the reconstruction result. Conclusions are validated by a simulation example.更多还原