离散卷积方程组的反卷积解法

对于离散卷积方程组，一般采用傅氏变换的方法求解，但在某些特定系统的情况下，零频率丢失。如在空间域用直接反卷积法求解，将解决这一问题，首先分析了离散卷积和离散反卷积的计算方法，对用高斯消去法和求逆法求解离散卷积方程组作了说明，最后对直接反卷积求解的计算量进行了估计。

Deconvolution Solving Method for Discrete Convolution Equations Set

For discrete convolution equation set, generally,people use Fourier transform method to solve.But in some positions,zero frequency will lose. If we use deconvolution solving method in space domain to solve,this problem will be overcome.In this thesis,firstly,we will analyse calculation method of discrete convolution and discrete deconvolution.Secondly,we explain how to solve discrete convolution equation set.Finally,we estimate calculation of deconvolution solving method.