【摘要】 应用FFT方法计算实型线性褶积与反褶积问题时,通常需要将线性褶积转化为k=1的循环褶积,因而所得到的计算结果是近似的并且产生较为严重的边界效应问题.本文提出了一种新方法,它通过将线性褶积转化为k=±-1^1/2的循环型褶积,然后引入FFT进行计算;在保证不增加计算量的情况下,所得到的实型褶积运算是精确的、反褶积运算中边界效应可以得到较好的改善.更多还原

【Abstract】 The linear convolution and deconvolution are often changed to the circulant convolution and deconvolution with k = 1 before they are computed by the use of the FFT method.Correspondingly,the expected results can only be approximate.In this paper,we propose a new method by changing the linear convolution and deconvolution to k=±（-1）^1/2 circulant convolution and deconvolution.Then the linear convolution can be correct without any additional computation while the edge effect can be greatly reduced within the result of he linear deconvolution.更多还原