一种改进的数字反卷积方程

An Improved Digital Deconvolution Equation

本文首先阐明,在惯用的数字反卷积算法中所采用的离散化矩形公式将导至零时刻误差这一重要事实,进而提出一种改进的数字反卷积方程,它等效于连续卷积离散化梯形公式,可令人满意地克服惯用方程的欠缺。

This paper first points out the important fact that the rectangle formulas of continuous convolution discretization, which was widely used in conventional digital deconvolution algorithms, can result in zero-time error. Then, an improved digital deconvolution equation is suggested which is equivalent to the trapezoid formulas of continuous convolution discretization and can overcome the disadvantage of conventional equation satisfactorily. Finally, a simulation in computer is given, thus confirming the theoretical result.